Solving Quadratic Equations and Pythagorean Theorem

The quadratic equation can be used to solve quadratic equations that cannot be factored.

• True

• False

What should you do first in solving this equation?

x² + 6x - 13 = 3

• Factor

• Write down: a = 1, b = 6, c = -13

• Subtract 3 from both sides.

• Add 3 to both sides.

How can you solve this quadratic equation? Select all that apply.

x² + 6x - 16 = 0

• Factor it.

• Use the Quadratic Formula.

• Use the Pythagorean Theorem.

• Substitute x = 0 and solve.

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

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

• No Real Solution

• 
• 
• 

• A
• B
• C
• D

Which of the following is a quadratic equation in standard form?

• 3x + 2y = 7

• y = -(x - 4)² + 8

• y = -2x² + 3x + 1

• y = 4x + 9

In the quadratic equation 2x² – 9x – 5 = 0, which is the constant term?

• 2x²

• x²

• – 9x

• – 5

What is the first step in solving a quadratic equation using the quadratic formula?

• Identify the coefficients a, b, and c.

• Evaluate the discriminant.

• Rewrite the equation in standard form and set equal to zero.

• Substitute the values for a, b, and c into the quadratic formula.

If the discriminant is equal to zero then,...

• the quadratic equation has one real solution.

• the quadratic equation has two real solutions.

• the quadratic equation has two imaginary solutions.