Mathematics
The roots of the quadratic equation x(x + 8) + 12 = 0 are :
6 or 2
-6 or -2
6 and -2
-6 and -2
Quadratic Equations
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Answer
Given,
⇒ x(x + 8) + 12 = 0
⇒ x2 + 8x + 12 = 0
⇒ x2 + 2x + 6x + 12 = 0
⇒ x(x + 2) + 6(x + 2) = 0
⇒ (x + 6)(x + 2) = 0
⇒ x + 6 = 0 or x + 2 = 0
⇒ x = -6 or x = -2.
Hence, Option 2 is the correct option.
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