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Question
Solve: `3x^2 + 5sqrt(5)x - 10 = 0`.
Sum
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Solution
`3x^2 + 5sqrt(5)x - 10 = 0`
⇒ `3x^2 + 6sqrt(5)x - sqrt(5)x - 10 = 0`
⇒ `3x(x + 2sqrt(5)) - sqrt(5)(x + 2sqrt(5)) = 0`
⇒ `(x + 2sqrt(5)) (3x - sqrt(5)) = 0`
⇒ `x + 2sqrt(5) = 0` or `3x - sqrt(5) = 0`
⇒ `x = -2sqrt(5)` or `x = sqrt(5)/3`
Hence, `-2sqrt(5)` and `sqrt(5)/3` are the roots of the given equation.
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