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Question: Solve:
- x² - 7x - 12 = 0

A ) 4 and 3
B ) 4 and - 3
C ) - 4 and - 3
D ) - 4 and 3

Steps to derive

1 - x² - 7x - 12 = 0
 [Original equation.]

2 x² + 7x + 12 = 0
 [Multiply both sides by - 1.]

3 (x + 4)(x + 3) = 0.
 [Factorize the equation.]

4 x + 4 = 0 or x + 3 = 0
 [Apply zero product property.]

5 x = - 4 or x = - 3

6 The solutions are - 4, - 3.



Hence the right answer is Option C

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