Maths-
SAT
Easy
Question
What is the solution set of the equation above?
- {−1}
- {5}
- {−1, 5}
- {0, −1, 5}
The correct answer is: {5}
Given
2x + 6 = (x -1)2
2x + 6 = x2 – 2x + 1
x2 – 2x + 1 – 2x – 6 = 0
x2 – 4x – 5 = 0
x2 – 5x + x – 5 = 0
x(x - 5) + 1 ((x - 5) = 0
(x - 5)(x + 1) = 0
x + 1 = 0 and x – 5 = 0
x = -1 and x = 5.
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