Directions: Solve the following quadratic equations by factoring.
Quadratic Equations
Solutions/Roots
Example: x2 + 2x - 15 = 0
x = -5 or x = 3
1. x2 - 100 = 0
2. m2 - 3m = 18
3. t2 + 8t - 33 = 0
4. 3x2 - 21x = 0
5. 2x2 + 11x + 15 = 0
The space provided below is intended for your solution.
Quadratic Equations
Solutions/Roots
Example: x2 + 2x - 15 = 0
x = -5 or x = 3
1. x2 - 100 = 0
2. m2 - 3m = 18
3. t2 + 8t - 33 = 0
4. 3x2 - 21x = 0
5. 2x2 + 11x + 15 = 0
The space provided below is intended for your solution.
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Answer:
Step-by-step explanation:
1. x² - 100 = 0
(x + 10)(x - 10) = 0
x + 10 = 0 x - 10 = 0
x = -10 x = 10
2. m² - 3m = 18
m² - 3m - 18 = 0
(m - 6)(m + 3) = 0
m - 6 = 0 m + 3 = 0
m = 6 m = -3
3. t² + 8t - 33 = 0
(t + 11)(t - 3) = 0
t + 11 = 0 t - 3 = 0
t = -11 t = 3
4. 3x² - 21x = 0
3x(x - 7) = 0
3x = 0 x - 7 = 0
x = 0 x = 7
5. 2x² + 11x + 15 = 0
(2x + 5)(x + 3) = 0
2x + 5 = 0 x + 3 = 0
x = -5/2 x = -3