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Question
The roots of the quadratic equation x2 – 6x – 7 = 0 are ______.
Options
–1 and 7
1 and 7
–1 or 7
1 and – 7
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Solution
The roots of the quadratic equation x2 – 6x – 7 = 0 are –1 or 7.
Explanation:
Given quadratic equation be,
x2 – 6x – 7 = 0
`\implies` x2 – 7x + x – 7 = 0
`\implies` x(x – 7) + 1(x – 7) = 0
`\implies` (x – 7)(x + 1) = 0
Either x – 7 = 0 or x + 1 = 0
`\implies` x = 7 or x = – 1
`\implies` x = 7 or – 1
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