(x + 1)^2 = 3x – 1 solving Quadratics ?
2 answers:
Step-by-step explanation:

Answer: x = - 1 or x = 2
Step-by-step explanation:
The given quadratic equation is expressed as
(x + 1)^2 = 3x – 1
Expanding the brackets, it becomes
(x + 1)(x + 1) = 3x - 1
x² + x + x + 1 = 3x - 1
x² + 2x - 3x + 1 + 1 = 0
x² - x + 2 = 0
We would find two numbers such that their sum or difference is -x and their product is 2x^2. The two numbers are x and 2x. Therefore,
x² + x - 2x + 2 = 0
x(x + 1) - 2(x + 1) = 0
(x + 1)(x - 2) = 0
x + 1 = 0 or x - 2 = 0
x = - 1 or x = 2
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