1 B 1 Solving Quadratics Solve by Factoring

1 B. 1 - Solving Quadratics: Ø Solve by Factoring Ø Solve by Square Roots

Solve by Factoring 1. Put the equation in standard form. 2. Factor! 3. Set each factor equal to zero and solve. 4. Check your answers!!! Standard Form of a Quadratic Equation: ax 2 + bx + c = 0

Solve by Factoring (a=1) 1. x 2 – x – 56 = 0 x = -7 x = 8

Solve by Factoring (a=1) 2. 8 x + x 2 + 7 = 0 x = -7 x = -1

Solve by Factoring (a=1) 3. n 2 – 11 n + 10 = 0 n = 1

Solve by Factoring (GCF) 4. 3 x 2 + 9 x – 54 = 0 x = -6 x = 3

QUESTIONS? ?

Solve by Factoring (a > 1) 5. 2 x 2 + x – 15 = 0 x = -3 x = 5/2

Solve by Factoring (a > 1) 6. 4 x 2 + 21 x = -5 x = -1/4

Solving with Square Roots 1. Get x 2 or the binomial squared by itself 2. Take the square root of BOTH sides of the equal sign 3. Don’t forget the sign 4. Simplify 5. Check your answers!!

Solve by Taking Square Roots X = ± 2 i

Solve by Taking Square Roots

Solve by Taking Square Roots

Solve by Taking Square Roots

Solve by Taking Square Roots 2 5. 5(x – 4) = 125 X = -1 and 9

Solve by Taking Square Roots 2 6. - 9 x = 243