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1 of 8
6 + 6 – 6 = 6
0 0 0 = 6
4 4 4 = 6
9 9 9 = 6
Quadratic equation using factoring
Quadratic equation is second
degree equation that comes in
standard form:
ax² + bx + c = 0.
Examples:
2x² = 5x + 4
x² + 5 = 0
x( x + 2 ) – 10 = 0
x² + 4x = -8
•
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.
Find the roots of the following:
•x² + 4x + 4 = 0
•x² + 7x + 12 = 0
•x² + 8x – 9 = 0
Solve the following Quadratic Equation using
factoring:
1. x² - 4x – 5 = 0
2. x² + 9x + 18 = 0
3. x² + 12x + 35 = 0
Assignment:
•Define quadratic formula.
•What are the steps in solving quadratic formula.
Reference:
Conceptual Math & Beyond II Intermediate Algebra pages 61-63.

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Quadratic Equation

  • 1. 6 + 6 – 6 = 6 0 0 0 = 6 4 4 4 = 6 9 9 9 = 6
  • 3. Quadratic equation is second degree equation that comes in standard form: ax² + bx + c = 0.
  • 4. Examples: 2x² = 5x + 4 x² + 5 = 0 x( x + 2 ) – 10 = 0 x² + 4x = -8 •
  • 5. 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.
  • 6. Find the roots of the following: •x² + 4x + 4 = 0 •x² + 7x + 12 = 0 •x² + 8x – 9 = 0
  • 7. Solve the following Quadratic Equation using factoring: 1. x² - 4x – 5 = 0 2. x² + 9x + 18 = 0 3. x² + 12x + 35 = 0
  • 8. Assignment: •Define quadratic formula. •What are the steps in solving quadratic formula. Reference: Conceptual Math & Beyond II Intermediate Algebra pages 61-63.