Solving multi-step problems using quadratic equations in one variable

 $x^2-4x+4=0$  Use the quadratic formula to solve the following equations. Select all solutions.

• 2

• 4

• -2

• -4

SOLVE:
 $f\left(x\right)=x^2-10x+2\ \ \ if\ \ \ f\left(x\right)=0$  

Substitute 0 for f(x), then solve.

• x=  $5+\sqrt{92},\ \ 5-\sqrt{92}$  

• x= $\frac{1}{5}+\sqrt{92},\ \ \frac{1}{5}-\sqrt{92}$  

• x= $5+\sqrt{23},\ \ 5-\sqrt{23}$  

• x=   $\frac{1}{5}+\sqrt{23},\ \ \frac{1}{5}-\sqrt{23}$  

Solve the equation: $x^2-5x+2=0$  

•  $x=\frac{5+\sqrt{17}}{2}$  

•  $x=\frac{5-\sqrt{17}}{2}$  

•  $x=\frac{-5+\sqrt{33}}{2}$  

•  $x=\frac{-5+\sqrt{33}}{2}$  

Find the discriminant of the quadratic function:

y = 2x² -x -3

• 25

• -23

• -25

• 0

Use the quadratic formula to solve  $x^2-3x-10=0$  

• (2,5)

• (-2,-5)

• (-2,5)

• (2,-5)

Solve using quadratic formula.

• A

• B

• C

• D

What formula do you use to solve for the zeros of x² + 6x - 7?

• Quadratic Function

• Quadratic Formula

• x = -b/2a

• Box Method

Self-Check: how do you rate your understanding of the quadratic formula after today's lesson?

• I understand

• I somewhat understand

• I do not understand

Use the quadratic formula to solve y = 2x² + 2x - 12?

• -2, 3
• 2, 3
• 2, -3
• -2, -3