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Question
The roots of the equation x2 + 3x – 10 = 0 are ______.
Options
2, –5
–2, 5
2, 5
–2, –5
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Solution
The roots of the equation x2 + 3x – 10 = 0 are 2, –5.
Explanation:
x2 + 3x – 10 = 0
`\implies` x2 + 5x – 2x – 10 = 0
`\implies` x(x + 5) –2 (x + 5) = 0
`\implies` (x – 2) (x + 5) = 0
`\implies` x = 2 or x = – 5
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