Question

which of the following number gives 240 when added to it's own square

Answer 1

15 when added to it's square gives 240.

15 + 15^2
= 15 + 225
= 240

Answer 2

Given : Number gives 240 when added to its own square

To find :  Number

Solution:

Let say Number = N

N² + N  = 240

=> N² + N  - 240 = 0

=> N²  + 16N - 15N - 240 = 0

=> N(N + 16) - 15(N + 16) = 0

=> (N + 16)(N - 15) = 0

=> N = -16  or N = 15

Hence Numbers are - 16  and 15

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