Question:
What is the answer of 6x² - x - 12 = 0?
[tex] \: \: \: \: [/tex]
Solution:
Solving the quadratic equation using by factoring:
- 6x² - x - 12 = 0
- 6x² + 8x - 9x - 12 = 0
- 2x × (3x + 4) - 3(3x + 4) = 0
- (3x + 4) × (2x - 3) = 0
- 3x + 4 = 0; 2x - 3 = 0
- x = -4/3; x = 3/2
[tex] \: \: \: \: [/tex]
Answer:
[tex] \: \: \: \: \: \: \: \large{ \boxed{ \green{ \tt x = - \frac{4}{ \: 3 \: } ; \: x = \frac{3}{ \: 2 \: }}}} [/tex]
