Solving Quadratics by Completing the Square and Quadratic Formula

Which equation shows  $x^2+8x+9=0$  after the method of completing the square has been applied?

•  $\left(x+2\right)^2=-5$  

•  $\left(x+4\right)^2=7$  

•  $\left(x+8\right)^2=55$  

•  $x^2=-\left(8x+9\right)$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

When $2x^2-20x+49=19$   is written in the form  $\left(x-p\right)^2=q$   , what is the value of  $q$  ?

• 19

• 10

• 5

• -30

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

 $2x^2+3x-4=0$  When the quadratic formula is applied to , what is the numerator of the simplified answer?

•  $3\pm\sqrt{41}$  

•  $-3\pm\sqrt{41}$  

•  $3\pm\sqrt{38}$  

•  $-3\pm\sqrt{-23}$  

Tags

CCSS.HSA-REI.B.4B

Solve  $36x^2+169\ =\ 0$  .

•  $x=\pm\frac{6}{13}i$  

•  $x=\pm\frac{6}{13}$  

•  $x=\pm\frac{13}{6}i$  

•  $x=\pm\frac{13}{6}$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.CN.C.7

Solve  $x^2-4x+18=0$  .

•  $x=-2\pm i\sqrt{14}$  

•  $x=-2\pm\sqrt{14}$  

•  $x=2\pm i\sqrt{14}$  

•  $x=2\pm\sqrt{14}$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve  $4x^2+5x+2=0$  .

•  $x=\frac{5}{8}\pm\frac{\sqrt{7}}{8}$  

•  $x=-\frac{5}{8}\pm\frac{\sqrt{7}}{8}i$  

•  $x=-\frac{5}{8}\pm\frac{\sqrt{7}}{8}$  

•  $x=\frac{5}{8}\pm\frac{\sqrt{7}}{8}i$  

Tags

CCSS.HSA.REI.B.4

Solve $x^2+x=-1$  .

•  $x=-\frac{1}{2}\pm\frac{\sqrt{3}}{2}i$  

•  $x=-\frac{1}{2}\pm\frac{\sqrt{5}}{2}i$  

•  $x=\frac{1}{2}\pm\frac{\sqrt{3}}{2}i$  

•  $x=\frac{1}{2}\pm\frac{\sqrt{5}}{2}i$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.C.7

Solve  $x^2+10x=39$  .

•  $x=-5\pm\sqrt{14}$  

•  $x=-3\ or\ 13$  

•  $x\ =\ 3\ or\ -13$  

•  $x=5\pm\sqrt{14}$  

Tags

CCSS.HSA-REI.B.4B

What are the solutions of the equation  $x^2=23+2x$  ?

•  $x=-1\pm2\sqrt{6}$  

•  $x=1\pm2\sqrt{6}$  

•  $x=-1\pm\sqrt{22}$  

•  $x=1\pm\sqrt{22}$  

Tags

CCSS.HSA-REI.B.4B

Find the zeros of  $f\left(x\right)=x^2+7x+9$  .

•  $x=-7\pm\sqrt{13}$  

•  $x=\frac{-7\pm\sqrt{13}}{2}$  

•  $x=\frac{3\pm\sqrt{7}}{2}$  

•  $x=3\pm\sqrt{7}$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4