Question

If x = 1 2− √3 , then the value of (x2 – 4x + 1) is: A) 3 B) 1 C) zero D) - 1

Answer 1

Answer:

0

Step-by-step explanation:

$==: \frac{1}{2 - \sqrt{3}}\\==: \frac{1}{2 - \sqrt{3}} * \frac{2 + \sqrt{3}}{2 + \sqrt{3}}\\==: \frac{2 + \sqrt{3}}{4-3} \\==: 2 + \sqrt{3}$

x = 2 + √3

==: x² - 4x + 1

==: (2 + √3)² - 4(2 + √3) + 1

==: 4 + 3 + 4√3 - 8 - 4√3 + 1

==: 0

Option (c) is correct

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