Topic 9: Solving quadratic equations make up assignment

What should you do first in solving this equation?

x² + 6x - 13 = 3

hint: make the equation = 0

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

Tags

CCSS.HSA-REI.B.4B

What is this formula?

• This is the speed of light formula.
• This is the quadratic formula.
• This is the zero product property.
• This is scary.

Tags

CCSS.HSA-REI.B.4B

Solve by the Extraction of Roots method: x² = 16

hint: take the square root of both sides.

• ± 4

• ± 8

• 4

• 8

Tags

CCSS.HSA-REI.B.4B

Solve by the Extraction of Roots method: -5x² = -50

hint: first divide both sides by -5 to isolate the x²

• ± 5

• ± 10

• ± √10

• -10

Tags

CCSS.HSA-REI.B.4B

Solve by the Extraction of Roots method: (x - 2) ² = 49

hint: first take the square root of both sides then solve the equation.

• 9 or -5

• ± 9

• ± 5

• ± 7

Tags

CCSS.HSA-REI.B.4B

Find the missing value "c" to create a perfect square trinomial:

x² – 8x + ___

• -4

• 16

• 4

• 8

Tags

CCSS.HSA-REI.B.4B

Complete the square for

x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

Tags

CCSS.HSA-REI.B.4B

Complete the square.

x² + 14x + ____

• x² + 14x - 196

• x² + 14x + 49

• x² + 14x - 49

• x² + 14x + 196

Tags

CCSS.HSA-REI.B.4B

Given this graph is the function of

 $y=x^2-2x-8$  , what is the solution to  $x^2=2x+8$  ?
hint:  where does the parabola cross the x-axis?

• (1, 9)
  

• x = {-2, 4}
  

• (0, 8)
  

• x = {5, 2}
  

 $2x^2=8x+3$ 

  

1) $2x^2-8x-3=0$  

2) $x=\frac{8\pm\sqrt{64-4\left(2\right)\left(-3\right)}}{4}$  

3) $x=\frac{8\pm\sqrt{40}}{4}$ 

4) $x=\frac{8\pm2\sqrt{10}}{4}$  

5) $x=\frac{4\pm\sqrt{10}}{2}$  

Suzanne solved the equation using this process.

Did she make a mistake?

If yes, at which line did she make her first mistake?

• Suzanne made no errors.
  

• Step 2
  

• Step 3
  

• Step 4
  

• Step 5
  

Tags

CCSS.HSA-REI.B.4B