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Question
The roots of quadratic equation x(x + 8) + 12 = 0 are ______.
Options
6 or 2
– 6 or – 2
6 and – 2
– 6 and – 2
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Solution
The roots of quadratic equation x(x + 8) + 12 = 0 are – 6 or – 2.
Explanation:
Given quadratic equation be,
x(x + 8) + 12 = 0
`\implies` x2 + 8x + 12 = 0
`\implies` x2 + 2x + 6x + 12 = 0
`\implies` x(x + 2) + 6(x + 2) = 0
`\implies` (x + 2)(x + 6) = 0
Either x + 2 = 0 or x + 6 = 0
`\implies` x = – 2 or x = – 6
`\implies` x = – 2 or – 6
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