Solving Quadratic Equations

What should you do first in solving this equation?
x² + 6x - 13 = 3

• 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.

Solve: x² = 16

• ± 4

• ± 8

• 4

• 8

Solve: -5x² = -50

• ± 5

• ± 10

• ± √10

• -10

Solve: (x - 2) ² = 49

• 9 or -5

• ± 9

• ± 5

• ± 7

Find the missing value "c" to create a perfect square trinomial:
x² – 8x  + ___ 

• -4
• 16
• 4
• 8

What value of "c" would make this a perfect square trinomial?

x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + 12x - 144

When factoring

x² - 4x + 4 = 20,

what goes in the blank?

(x ___ )² = 20

• + 2

• - 2

• + 4

• - 4

Solve:

x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Solve by ANY method you have learned: x²−2x+11=0

• 1±i√10

• 1±√10

• -1±i√10

• -1±√10

Which is the standard form for a quadratic equation?

• $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

• $ax^2+bx+c=0$

• $y=a\left(x-h\right)^2+k$

• $a^2+b^2=c^2$