Q. 114.7( 7 Votes )

# The sum of a number and its square is 63/4, find the numbers.

Let the number be ‘a’

a + a2 = 63/4

4a2 + 4a – 63 = 0

4a2 + 18a – 14a – 63 = 0

2a(2a + 9) – 7(2a + 9) = 0

(2a – 7)(2a + 9) = 0

a = 7/2 or – 9/2

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