Solving Quadratics with Imaginary Roots

 $x^2+5x\ +8\ =0$  

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.4

CCSS.HSN.CN.A.1

 $x^2-6x\ +12\ =0$  

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

•  $3\pm i\sqrt{3}$  

•  $3\pm\ \sqrt{3}$  

•  $\frac{6\pm\sqrt{-12}}{2}$  

•  $3\pm i$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

 $-x^2+13x\ -10\ =7x$  

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

 $-x^2+6x\ -10\ =0$  

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

•  $\frac{-6\pm\sqrt{76}}{-2}$  

•  $3\pm i$  

•  $-3\pm i$  

•  $\frac{6\pm\sqrt{76}}{-2}$  

Tags

CCSS.HSA.REI.B.4

 $2x^2+8x\ +12.5\ =0$  

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

•  $-2\pm6i$  

•  $\frac{-4\pm i\sqrt{41}}{2}\ which\ is\ equivalent\ to\ \frac{-8\pm2i\sqrt{41}}{4}\ \$  

•  $\frac{4\pm3i}{2}\ which\ is\ equivalent\ to\ \frac{8\pm6i}{4}$  

•  $\frac{-4\pm3i}{2}\ which\ is\ equivalent\ to\ \frac{-8\pm6i}{4}\$  

Tags

CCSS.HSA.REI.B.4

 $-2x^2-1x\ -7\ =0$  

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

•  $\frac{1\pm i\sqrt{55}}{-4}$  

•  $\frac{1\pm i\sqrt{55}}{4}$  

•  $\frac{1\pm2\sqrt{14}}{-4}$  

•  $\frac{1\pm2\sqrt{14}}{4}$  

Tags

CCSS.HSA.REI.B.4

 $3x^2-8x\ +2\ =-5x\ -\ 11$  

Put the following quadratic into standard form.

•  $3x^2-13x\ -9\ =0$  

•  $3x^2+6x\ -9\ =0$  

•  $3x^2-3x\ +13\ =0$  

•  $6x^2+13\ =0$  

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.4

CCSS.HSN.CN.C.7