Discriminant and Solving Quadratics

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

Find the roots of this equation

x² + x - 6 = 0

• 4, -1

• 3, -2

• -6, 1

• 2, -3

In the quadratic formula, if b²-4ac>0, then the quadratic equation has

• two imaginary solutions
• two different real solutions
• two equal real solutions
• none of these

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.

What is the discriminant of -2x² − x − 1 = 0

• 76

• -7

• 9

• none of these

What is the discriminant and how many solutions would this quadratic have?

-8x² + 6x - 4 = 0

• -92, No Solutions

• 164, 2 Solutions

• -164, No Solutions

• 92, 2 Solutions

What is the discriminant and how many solutions would this quadratic have?

4x² + 6x - 4 = 0

• -28, No Solutions

• 28, 2 Solutions

• 100, 2 Solutions

• -100, No Solutions

What is the discriminant and how many solutions would this quadratic have?

-4x² - 8x - 8 = -4

• 0, No Solutions

• 0, 1 Solution

• 128, 2 Solutions

• 128, 1 Solution

What is the formula for the discriminant?

• x = -b/2a

• b² - 4ac

• a² + b² = c²

• x = [-b±√(b²-4ac)]/2a

If the discriminant is equal to 0, how many solutions are there?

• No solutions

• 1 Solution

• 2 Solutions

• Infinite solutions