Solving Quadratics by Square Roots

Solve: $\ x^2=81$  

•  $\left\{9\right\}$  

•  $\left\{\pm9i\right\}$  

•  $\left\{\pm\sqrt{9}\right\}$  

•  $\left\{\pm9\right\}$  

Tags

CCSS.8.EE.A.2

Solve: $x^2=-16$  

•  $\left\{\pm4\right\}$  

•  $\left\{0\right\}$  

•  $\left\{\pm4i\right\}$  

•  $\left\{4i\right\}$  

Tags

CCSS.8.EE.A.2

Solve: $x^2+7=23$  

•  $\left\{\pm\frac{8}{9}\right\}$  

•  $\left\{\pm4i\right\}$  

•  $\left\{\pm16\right\}$  

•  $\left\{\pm4\right\}$  

Tags

CCSS.8.EE.A.2

Solve: $36x^2=25$  

•  $\left\{\pm\frac{5}{6}\right\}$  

•  $\left\{\frac{5}{6}\right\}$  

•  $\left\{\pm5i\right\}$  

•  $\left\{\pm8\right\}$  

Tags

CCSS.8.EE.A.2

Solve: $x^2-4=-15$  

•  $\left\{\pm3i\right\}$  

•  $\left\{\pm i\sqrt{11}\right\}$  

•  $\left\{\pm\sqrt{11}\right\}$  

•  $\left\{\pm3\right\}$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve: $8x^2+9=41$  

•  $\left\{\pm3i\right\}$  

•  $\left\{\pm4\right\}$  

•  $\left\{\pm\frac{i\sqrt{141}}{3}\right\}$  

•  $\left\{\pm2\right\}$  

Tags

CCSS.HSA-REI.B.4B

Solve: $4x^2-3=-51$  

•  $\left\{\pm2\sqrt{3}\right\}$  

•  $\left\{\pm2i\sqrt{3}\right\}$  

•  $\left\{2\sqrt{3}\right\}$  

•  $\left\{2i\sqrt{3}\right\}$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve: $\left(2x-1\right)^2=9$  

•  $\left\{2,\ -1\right\}$  

•  $\left\{2\right\}$  

•  $\left\{2,\ 1\right\}$  

•  $\left\{5,\ -3\right\}$  

Tags

CCSS.HSA-REI.B.4B

 $10\left(x-7\right)^2=440$  

•  $\left\{\pm2\sqrt{11}\right\}$  

•  $\left\{7\pm\sqrt{430}\right\}$  

•  $\left\{7\pm2\sqrt{11}\right\}$  

•  $\left\{\pm9\sqrt{11}\right\}$  

Tags

CCSS.HSA-REI.B.4B

Solve: $2\left(x-2\right)^2+3=-37$  

•  $\left\{2\pm2\sqrt{5}\right\}$  

•  $\left\{\pm4i\sqrt{5}\right\}$  

•  $\left\{2\pm2i\sqrt{5}\right\}$  

•  $\left\{\pm2\sqrt{5}\right\}$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7