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6 + 6 – 6 = 6 0 0 0 = 6 4 4 4 = 6

Quadratic Equation

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Page 1: Quadratic Equation

6 + 6 – 6 = 6

0 0 0 = 6 4 4 4 = 6 9 9 9 = 6

Page 2: Quadratic Equation

Quadratic equation using factoring

Page 3: Quadratic Equation

Quadratic equation is second degree equation that comes in standard form:ax² + bx + c = 0.

Page 4: Quadratic Equation

Examples:

2x² = 5x + 4 x² + 5 = 0x( x + 2 ) – 10 = 0 x² + 4x = -8

Page 5: Quadratic Equation

Solve for the roots of the quadratic equation: x² - 4x – 45 = 0

• Usual listing of factors of the constant that will satisfy the coefficient of the middle term.• Equate each factor to 0; then solve for the values of x.• Then, transpose the constant to the right.

Page 6: Quadratic Equation

Find the roots of the following:

•x² + 4x + 4 = 0•x² + 7x + 12 = 0•x² + 8x – 9 = 0

Page 7: Quadratic Equation

Solve the following Quadratic Equation using factoring:

1. x² - 4x – 5 = 02. x² + 9x + 18 = 03. x² + 12x + 35 = 0

Page 8: Quadratic Equation

Assignment:

•Define quadratic formula.•What are the steps in solving quadratic formula.

Reference:

Conceptual Math & Beyond II Intermediate Algebra pages 61-63.