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Question
If p – 15 = 0 and 2x2 + px + 25 = 0; find the values of x.
Solution
Given p – 15 = 0
`=>` p = 15
So, the given quadratic equation becomes
2x2 + 15x + 25 = 0
`=>` 2x2 + 10x + 5x + 25 = 0
`=>` 2x(x + 5) + 5(x + 5) = 0
`=>` (x + 5)(2x + 5) = 0
Either x + 5 = 0 or 2x + 5 = 0
`x = -5` or `x = (-5)/2`
∴ `x = (-5)/2, -5`
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