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Question
Find the solution of the equation 2x2 – mx – 25n = 0; if m + 5 = 0 and n – 1 = 0.
Solution
Given quadratic equation is 2x2 – mx – 25n = 0 ...(i)
Also, given m + 5 = 0 and n – 1 = 0
`=>` m = –5 and n = 1
So, the equation (i) becomes
2x2 + 5x – 25 = 0
`=>` 2x2 + 10x – 5x – 25 = 0
`=>` 2x(x + 5) – 5(x + 5) = 0
`=>` (x + 5)(2x – 5) = 0
`=> x = -5, 5/2`
Hence, the solution of given quadratic equation are –5 and `5/2`
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