Solving Quadratics

What is the discriminant?

• b²-4ac
• b²/2a
• 4ac
• b²±4ac

Tags

CCSS.HSA-REI.B.4B

If the discriminant is negative, then the quadratic has:

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• No Real Solutions

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B

• -2, 4
• -8
• ±8
• No real solution

Tags

CCSS.HSA-REI.B.4B

If the graph of a quadratic does not intercept the x axis at any point, then it has:

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• No Real Solution

Tags

CCSS.HSF-IF.C.7A

Convert x²-6x+9 to factored form and identify the solution.

• (x-3)(x-3); x=3
• (x+3)(x+3); x=-3
• (x+4)(x+2); x=-4, -2
• Not factorable

Tags

CCSS.HSA-REI.B.4B

Solve
4m² - 100 = 0

• m=25, -25
• m=96
• m=5, -5
• m=-96

Tags

CCSS.8.EE.A.2

Solve
2x² + 17x + 21 = 0

• x= ^-21/₂, -17
• x= ²/₃, 16
• x=-7, ^-3/₂
• x=15, -³/₇

Tags

CCSS.HSA-REI.B.4B

Use the square root property to solve the Quadratic Equation.
2(x - 4)² = 200

• ±10
• -14, 6
• -6, 14
• 100

Tags

CCSS.HSA-REI.B.4B

Use the Quadratic Formula to solve the Quadratic Equation.
x² + 4x - 9

• -2 ± √13
• -2 ± 2√7
• -2 ± √7
• -2 + √7

Tags

CCSS.HSA-REI.B.4B