Question

The sum of number and square is 63 ratio 4 find the number

Answer 1

Let the number be: X
It's square : X^2
By statement
X^2 + X = 63/4
Cross multiply then we get
4X^2 + 4X = 63
4X^2 + 4X - 63 = 0
4X^2 + 18X - 14X - 63 = 0
2 X (2X + 9) - 7 (2X + 9) = 0
(2X + 9) (2X - 7) = 0
2X + 9 = 0 & 2X - 7 = 0
2X = - 9 & 2X = 7
X = - 9/2 & X = 7/2
Therefore, the numbers are - 9/2 & 7/2