Review: Simplify

Review Solve the equation 5) 6) 7)

Chapter 8 section 2 The Quadratic Formula

Quadratic Equation Standard form: ax2 + bx + c = 0 with a ≠ 0

Determine the ‘a’, ‘b’, ‘c’ 1) 2x2 – 6x + 7 = 0 2) 3) 4)

Quadratic Formula Solution of a quadratic equation in standard form ax2 + bx + c = 0 with a ≠ 0 x =

Use the quadratic formula and solve 5) 6) 7)

The Discriminant b2 – 4ac Greater than zero: Two unequal real solution Equal to zero: One solution Less than zero: Two imaginary solutions.

Determine the number and type of solutions. 7) 8)

Ways to Solve Quadratic Equations Factor and use the zero-product property: ax2 + bx + c = 0 Solve for x2 and use the square root property: ax2 + c = 0 Use the square root property: x2 = c Use the quadratic formula: ax2 + bx + c = 0

Solve 3x2 +5x – 2 = 0 4x2 – 7 = 0 (x + 4)2 = 5 x2 – 2x – 6 = 0

Writing Quadratic Equations If solutions are -5 and 5, what is the equation? Solutions are: x = 5 and x = - 5 x – 5 = 0 or x = - 5 (x – 5)(x + 5) = 0

Write the quadratic equation in standard form 9) 10)

Summary Quadratic Formula Discriminant Ways to Solve Quadratic Equations Equation from Solutions