What are the zeros of the function f(x) = x 2 + 64?

i 8 , − i 8 i\sqrt{8},-i\sqrt{8} i 8 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> , − i 8 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

8 , − 8 \sqrt{8},-\sqrt{8} 8 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> , − 8 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Solve: 2x 2 + 6x + 7 = 0

− 3 + i 5 2 , − 3 − i 5 2 \frac{-3+i\sqrt{5}}{2},\frac{-3-i\sqrt{5}}{2} 2 − 3 + i 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> , 2 − 3 − i 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 6 + 20 4 , − 6 − 20 4 \frac{-6+\sqrt{20}}{4},\frac{-6-\sqrt{20}}{4} 4 − 6 + 2 0 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> , 4 − 6 − 2 0 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 6 + i 20 4 , − 6 − i 20 4 \frac{-6+i\sqrt{20}}{4},\frac{-6-i\sqrt{20}}{4} 4 − 6 + i 2 0 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> , 4 − 6 − i 2 0 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 6 + 2 i 5 4 , − 6 − 2 i 5 4 \frac{-6+2i\sqrt{5}}{4},\frac{-6-2i\sqrt{5}}{4} 4 − 6 + 2 i 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> , 4 − 6 − 2 i 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Solve quadratics with complex roots

Authored by Allison Combs

Mathematics

9th - 12th Grade

CCSS covered

Used 15+ times

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10 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve: $x^2+6x+13=0$

-3+2i, -3-2i

6,7

$2+i\sqrt{3},2-i\sqrt{3}$

No solution

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve: $x^2-5x+8=0$

$\frac{-5+i\sqrt{7}}{2},\frac{-5-i\sqrt{7}}{ }$

$\frac{5+i\sqrt{7}}{2},\frac{5-i\sqrt{7}}{2}$

$\frac{8+i\sqrt{7}}{2},\frac{8-i\sqrt{7}}{2}$

$\frac{5+\sqrt{57}}{2},\frac{5-\sqrt{57}}{2}$

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve for x: 3x² - 6x + 6 = 0

x = 1± i

x = 3, -6

x = 4.8, 2.7

Undefined

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve by the Quadratic Formula:

$9u^2-11u+7=0$

$\frac{-11\pm i\sqrt{131}}{18}$

$\frac{11\pm i\sqrt{131}}{18}$

$\frac{11\pm i\sqrt{131}}{-18}$

$\frac{11\pm i\sqrt{373}}{18}$

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve by the Quadratic Formula:

$18j^{2\ }+9j\ +4=7j^2$

$\frac{-9\pm i\sqrt{95}}{22}$

$\frac{-9\pm\sqrt{95}}{22}$

$\frac{9\pm i\sqrt{95}}{22}$

$\frac{9\pm\sqrt{95}}{22}$

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which phrase correctly describes the roots of the following function?
f(x)=3x²+3x+3

2 Real Roots

2 Imaginary Roots

1 Real root

1 Imaginary Root

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the zeros of the function f(x) = x² + 64?

-8 and 8

-8i and 8i

$i\sqrt{8},-i\sqrt{8}$

$\sqrt{8},-\sqrt{8}$

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve:
2x² + 6x + 7 = 0

$\frac{-6+\sqrt{20}}{4},\frac{-6-\sqrt{20}}{4}$

$\frac{-6+i\sqrt{20}}{4},\frac{-6-i\sqrt{20}}{4}$

$\frac{-3+i\sqrt{5}}{2},\frac{-3-i\sqrt{5}}{2}$

$\frac{-6+2i\sqrt{5}}{4},\frac{-6-2i\sqrt{5}}{4}$

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

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Solve quadratics with complex roots

Solve: x2+6x+13=0x^2+6x+13=0x2+6x+13=0

Solve: x2−5x+8=0x^2-5x+8=0x2−5x+8=0

Solve for x: 3x2 - 6x + 6 = 0

Solve by the Quadratic Formula: 9u2−11u+7=09u^2-11u+7=09u2−11u+7=0

Solve by the Quadratic Formula: 18j2 +9j +4=7j218j^{2\ }+9j\ +4=7j^218j2 +9j +4=7j2

Which phrase correctly describes the roots of the following function? f(x)=3x2+3x+3

What are the zeros of the function f(x) = x2 + 64?

What are the zeros?

Solve:2x2 + 6x + 7 = 0

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Popular Resources on Wayground

Discover more resources for Mathematics

Solve: $x^2+6x+13=0$

Solve: $x^2-5x+8=0$

Solve for x: 3x² - 6x + 6 = 0

Solve by the Quadratic Formula:

$9u^2-11u+7=0$

Solve by the Quadratic Formula:

$18j^{2\ }+9j\ +4=7j^2$

Which phrase correctly describes the roots of the following function?
f(x)=3x²+3x+3

What are the zeros of the function f(x) = x² + 64?

Solve:
2x² + 6x + 7 = 0