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