Solving quadratics with imaginary roots - Quad Formula

 $x^2+5x\ +8\ =0$  

Solve the given equation using the Quadratic Formula. Make sure you fully simplify your answer.

•  $\frac{-5\pm\sqrt{57}}{2}$  

•  $\frac{5\pm\sqrt{57}}{2}$  

•  $\frac{-5\pm i\sqrt{7}}{2}$  

•  $\frac{5\pm i\sqrt{7}}{2}$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

 $-x^2+13x\ -10\ =7x$  

Put the following quadratic into standard form.

•  $-x^2+13x\ -17\ =0$  

•  $-x^2+20x\ -10\ =0$  

•  $-x^2+13x\ -3\ =0$  

•  $-x^2+6x\ -10\ =0$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $3x^2-3x\ +13\ =0$  

Solve the given equation using the Quadratic Formula. Make sure you fully simplify your answer.

•  $\frac{-3\pm7i\sqrt{3}}{6}$  

•  $\frac{3\pm7i\sqrt{3}}{6}$  

•  $\frac{-3\pm i\sqrt{163}}{6}$  

•  $\frac{3\pm i\sqrt{163}}{6}$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Identify the values of A, B, and C

11r² + 6r = 6

• A=11, B=-6, C=-6

• A=11, B=6, C=6

• A=11, B=6, C=-6

• A=1, B=6, C=-6

Tags

CCSS.HSA.REI.B.4

Solve over the set of complex numbers:

2x²+18=0

• 3i²

• -3i and 3i

• 9i

• 0 and 9

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

What is this?

• This is the speed of light formula.
• This is the quadratic formula.
• This is the zero product property.
• This is scary.

Tags

CCSS.HSA-REI.B.4B

A student is solving a quadratic equation using the quadratic formula. They have correctly gotten to this point and need to simplify completely. What is the correct final answer?

•  $\frac{-1\pm3\sqrt{2}}{2}$  

•  $\frac{-1\pm\sqrt{6}}{2}$  

•  $\frac{-1\pm\sqrt{18}}{2}$  

•  $\frac{-1\pm\sqrt{36}}{2}$  

Tags

CCSS.HSA-REI.B.4B

x² + 36 = 0

• x = ±6

• x = 6i

• x = -6

• x = ±6i

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7