Solving Quadratics (All Methods)

Solve:
 $f\left(x\right)=x^2+7$   if  $f\left(x\right)=88$  

• x= 81, -81

• x= $\sqrt{95},\ -\sqrt{95}$ 

• x= 9, -9

• x= $\sqrt{9},\ -\sqrt{9}$ 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve:
 $f\left(x\right)=x^2-2x-8$  if  $f\left(x\right)=0$  

• x= $1+\frac{\sqrt{34}}{2},\ \ -1+\frac{\sqrt{32}}{2}$  

• x= 4, -2

• x= $1+\frac{\sqrt{6}}{2},\ \ -1+\frac{\sqrt{6}}{2}$  

• x = -4, 2

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Solve:
 $f\left(x\right)=2x^2+4x\ \ if\ f\left(x\right)=16$  

• x= $-\frac{1}{2}+\frac{\sqrt{132}}{4},\ \ \ -\frac{1}{2}-\frac{\sqrt{132}}{4}$  

• x= $\frac{1}{2}+2\sqrt{28},\ \ \ -\frac{1}{2}-2\sqrt{28}$  

• x= 4, 2

• x= -4, 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

SOLVE:
 $f\left(x\right)=\left(5x-4\right)\left(x+3\right)\ \ \ \ if\ \ \ \ f\left(x\right)=0$  

• x= -3,   $\frac{4}{5}$  

• x= 4, -3

• x= 3, $-\frac{4}{5}$  

• x= -4, 3

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Identify "B" in the quadratic equation:
 $f\left(x\right)=3+8x\ \ \ if\ \ \ f\left(x\right)=4x^2$  

• b= -8

• b=3

• b=8

• b=-3

Tags

CCSS.HSA.REI.B.4

Identify "B" from the quadratic equation: $f\left(x\right)=x^2-7\ \ \ \ \ if\ \ \ \ f\left(x\right)=-6x$  

• b= -7

• b= 6

• b=  7

• b=  -6

Tags

CCSS.HSA.REI.B.4

SOLVE:
 $f\left(x\right)=9x^2\ \ \ \ if\ \ \ \ f\left(x\right)=225$  

• x=  5, -5

• x=  3, -3

• x=  15, -15

• x=  25, -25

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

SOLVE:
 $f\left(x\right)=-10x-21\ \ \ \ if\ \ \ \ f\left(x\right)=x^2$  

• x= -3, -7

• x= 7, 3

• x= 10, -3

• x= 7, -10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

SOLVE:
 $f\left(x\right)=-4x^2+100\ \ \ if\ \ \ \ f\left(x\right)=0$  

• x= -25, 25

• x= 5, -5

• x= 10, -10

• x= 2, -2

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

SOLVE:
 $f\left(x\right)=3\left(x-4\right)^2+6\ \ \ \ if\ \ \ \ f\left(x\right)=18$  

• x= 6, -6

• x= $4+2\sqrt{2,}\ \ 4-2\sqrt{2}$  

• x= 2, 6

• x= 10, -2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4