Question

Find the solution of the equation 2x² – mx – 25n = 0; if m + 5 = 0 and n – 1 = 0.

Answer 1

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`