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QUADRATIC
EQUATIONS
QUADRATIC
EQUATIONS
•It is an equation of a degree 2
•Standard form of Quadratic Equation:
ax2 + bx + c
where a, b and c are real numbers,
and a ≠0
STEPS IN SOLVING QUADRATIC
EQUATIONS BY FACTORING
1. Transpose all terms on the left side of the equation, if
necessary
2. Combine similar terms
3. Factor the left side of the equation
4. Equate each factor to zero
5. Solve the equation in step in 4
6. Check each root by substituting it in the original
equation
SOLVING QUADRATIC
EQUATIONS BY FACTORING
Example:
x2 – 8x – 0
Step 1: x2 – 8x – 0 (Factor)
Step 2: x(x-8) – 0 (Equate each factor to 0)
Step 3: x-0 or x-8 = 0 (Add 8 to both sides)
x = 8

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Mathematics 9 Lesson 1: Quadratic Equations

  • 2. QUADRATIC EQUATIONS •It is an equation of a degree 2 •Standard form of Quadratic Equation: ax2 + bx + c where a, b and c are real numbers, and a ≠0
  • 3. STEPS IN SOLVING QUADRATIC EQUATIONS BY FACTORING 1. Transpose all terms on the left side of the equation, if necessary 2. Combine similar terms 3. Factor the left side of the equation 4. Equate each factor to zero 5. Solve the equation in step in 4 6. Check each root by substituting it in the original equation
  • 4. SOLVING QUADRATIC EQUATIONS BY FACTORING Example: x2 – 8x – 0 Step 1: x2 – 8x – 0 (Factor) Step 2: x(x-8) – 0 (Equate each factor to 0) Step 3: x-0 or x-8 = 0 (Add 8 to both sides) x = 8