If x^ 2 + 1 = 2x , then the value of \frac{x^4+1/x^2}{x^2-3x+1} is:

Algebra and Applications Test 2

Question : 6 of 40

Marks: +1, -0

x^ 2 + 1 = 2x

, then the value of

{x^4+1/x^2}/{x^2-3x+1}

is:

Solution:

x^2 + 1 = 2x

x^2 - 2x + 1 = 0

(x - 1)^2 = 0

x - 1 = 0

x = 1

∴{x^4+1/x^2}/{x^2-3x+1}={1+1/1}/{1^2-3×1+1}=-2

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