Which of the following is a quadratic equation?
(a) x
2
+ 2x + 1 = (4 – x)
2
+ 3
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1
Answer:
not a quadratic equation
Explanation:
A) x² + 2x + 1 = (4 - x)² + 3
By using algebraic identity,
(a - b)² = a² - 2ab + b²
x² + 2x + 1 = 16 + x² - 8x + 3
By grouping,
x² - x² + 2x + 8x + 1 - 16 - 3 = 0
10x - 18 = 0
The degree of the equation is 1.
Therefore, x² + 2x + 1 = (4 - x)² + 3 is not a quadratic equation.
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