Question

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

Answer 1

X = 7/2, -9/2

Step-by-step explanation:

Given x + x² = 63/4

4x² + 4x - 63 = 0

Factors of -252 are +18 and -14.

So  4x² + 4x - 63 = 0 can be written as:

 4x² +18x -14x -63 = 0

 2x(2x +9) -7 (2x +9) = 0

(2x -7) (2x +9) = 0

So the factors are (2x -7) and (2x +9).

If (2x -7) = 0, then x = +7/2

If (2x +9) = 0, then x = -9/2

Hence solved.

X = 7/2, -9/2