Solve each equation using the quadratic formula: 2 x ( 3 x + 1 ) = − 5 2x\left(3x+1\right)=-5 2 x ( 3 x + 1 ) = − 5

x = − 1 ± i 29 6 x=\frac{-1\pm i\sqrt{29}}{6} x = 6 − 1 ± i 2 9 <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">

x = − 1 ± 31 6 x=\frac{-1\pm\sqrt{31}}{6} x = 6 − 1 ± 3 1 <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">

x = 1 ± 2 29 6 x=\frac{1\pm2\sqrt{29}}{6} x = 6 1 ± 2 2 9 <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">

x = 1 ± 2 31 6 x=\frac{1\pm2\sqrt{31}}{6} x = 6 1 ± 2 3 1 <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 each equation using the quadratic formula: 3 x ( x + 5 ) = 17 3x\left(x+5\right)=17 3 x ( x + 5 ) = 1 7

x = − 15 ± 429 6 x=\frac{-15\pm\sqrt{429}}{6} x = 6 − 1 5 ± 4 2 9 <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">

x = − 5 2 , x = 429 x=-\frac{5}{2},\ x=429 x = − 2 5 , x = 4 2 9

x = − 15 , x = 6 x=-15,\ x=6 x = − 1 5 , x = 6

x = 5 ± 143 2 x=\frac{5\pm\sqrt{143}}{2} x = 2 5 ± 1 4 3 <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">

4.7C Quadratic Formula

9th - 12th Grade

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4.7C Quadratic Formula

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9th - 12th Grade

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Practice Problem

•

Medium

•

CCSS

HSA-REI.B.4B, HSN.CN.C.7

Standards-aligned

Shari McCourt

Used 25+ times

FREE Resource

16 questions

Show all answers

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve each equation using the quadratic formula:
$2x^2+11x=40$

$x=-\frac{5}{2},x=8$

$x=-\frac{23}{4},x=-\frac{65}{4}$

$x=\frac{23}{4},x=\frac{65}{4}$

$x=\frac{5}{2},x=-8$

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve each equation using the quadratic formula:
$-2x^2+x=-7$

$x=\frac{1\pm\sqrt{57}}{4}$

$x=\frac{-1\pm\sqrt{57}}{4}$

$x=\frac{1\pm i\sqrt{55}}{4}$

$x=\frac{-1\pm i\sqrt{55}}{4}$

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve each equation using the quadratic formula:
$-10x^2+12x=9$

$x=3,\ x=-6$

$x=-\frac{3}{5},\ x=6$

$x=\frac{-3\pm3i\sqrt{6}}{5}$

$x=\frac{6\pm3i\sqrt{6}}{10}$

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve each equation using the quadratic formula:
$5x^2-10x=2$

$x=1\pm2\sqrt{35}$

$x=1\pm\sqrt{35}$

$x=1\pm\sqrt{7}$

$x=\frac{5\pm\sqrt{35}}{5}$

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve each equation using the quadratic formula:
$5x^2+5x+1=2x+3$

$x=\frac{2}{5},x=-1$

$x=\frac{-7\pm i\sqrt{31}}{10}$

$x=-\frac{2}{5},x=1$

$x=\frac{7\pm i\sqrt{31}}{10}$

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve each equation using the quadratic formula:
$8x^2-4x+5=0$

$x=\pm i$

$x=4\pm\frac{3i}{4}$

$x=\frac{1\pm3i}{4}$

$x=\frac{1}{4}\pm12i$

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve each equation using the quadratic formula:
$5x^2+8x+3=6x^2-4x$

$x=6\pm\sqrt{39}$

$x=\frac{-4\pm5i}{22}$

$x=-\frac{2}{11},\ x=5$

$x=-6\pm2\sqrt{39}$

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve each equation using the quadratic formula:
$3x^2-30x+50=2$

$x=2,\ x=8$

$x=-2,\ x=8$

$x=-2,\ x=-8$

$x=2,\ x=-8$

Tags

CCSS.HSA-REI.B.4B

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve each equation using the quadratic formula:
$19x^2+2=5x^2+9$

$x=1\pm\frac{\sqrt{2}}{2}$

$x=\pm\frac{\sqrt{2}}{2}$

$x=2\pm\sqrt{2}$

$x=\pm\sqrt{2}$

Tags

CCSS.HSA-REI.B.4B

10.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve each equation using the quadratic formula:
$-3x^2-9x+8=-4$

$x=\frac{13}{2},\ x=\frac{23}{2}$

$x=-\frac{9\pm\sqrt{129}}{6}$

$x=\frac{-3\pm\sqrt{7}}{2}$

$x=1,\ x=-4$

Tags

CCSS.HSA-REI.B.4B

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4.7C Quadratic Formula

16 questions

Solve each equation using the quadratic formula: 2x2+11x=402x^2+11x=402x2+11x=40

Solve each equation using the quadratic formula: −2x2+x=−7-2x^2+x=-7−2x2+x=−7

Solve each equation using the quadratic formula: −10x2+12x=9-10x^2+12x=9−10x2+12x=9

Solve each equation using the quadratic formula: 5x2−10x=25x^2-10x=25x2−10x=2

Solve each equation using the quadratic formula: 5x2+5x+1=2x+35x^2+5x+1=2x+35x2+5x+1=2x+3

Solve each equation using the quadratic formula: 8x2−4x+5=08x^2-4x+5=08x2−4x+5=0

Solve each equation using the quadratic formula: 5x2+8x+3=6x2−4x5x^2+8x+3=6x^2-4x5x2+8x+3=6x2−4x

Solve each equation using the quadratic formula: 3x2−30x+50=23x^2-30x+50=23x2−30x+50=2

Solve each equation using the quadratic formula: 19x2+2=5x2+919x^2+2=5x^2+919x2+2=5x2+9

Solve each equation using the quadratic formula: −3x2−9x+8=−4-3x^2-9x+8=-4−3x2−9x+8=−4

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Solve each equation using the quadratic formula:
$2x^2+11x=40$

Solve each equation using the quadratic formula:
$-2x^2+x=-7$

Solve each equation using the quadratic formula:
$-10x^2+12x=9$

Solve each equation using the quadratic formula:
$5x^2-10x=2$

Solve each equation using the quadratic formula:
$5x^2+5x+1=2x+3$

Solve each equation using the quadratic formula:
$8x^2-4x+5=0$

Solve each equation using the quadratic formula:
$5x^2+8x+3=6x^2-4x$

Solve each equation using the quadratic formula:
$3x^2-30x+50=2$

Solve each equation using the quadratic formula:
$19x^2+2=5x^2+9$

Solve each equation using the quadratic formula:
$-3x^2-9x+8=-4$