Which of the following is reduced form of the equation $(2 x - 1)^{2}$ = $x^{2}$ + 2?

4 $x^{2}$ + 2x + 1 = 0

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4 $x^{2}$ + 2x - 1 = 0

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3 $x^{2}$ - 4x - 1 = 0

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3 $x^{2}$ - 4x + 1 = 0

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Solution

The correct option is C
3 $x^{2}$ - 4x - 1 = 0

Given, $(2 x - 1)^{2}$ = $x^{2}$ + 2

4 $x^{2}$ + 1 – 4x = $x^{2}$ + 2

3 $x^{2}$ – 4x – 1 = 0

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Similar questions

Which of the following is the reduced form of the equation $(2 x - 1)^{2} = x^{2} + 2$ ?

Which of the following is the reduced form of the equation $(x - 2)^{3}$ = $(2 x - 1)^{2} + x^{3}$ ?

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\frac{6 x^{2} - 54}{x^{2} + 7 x + 12}

x^{2} + 2 x + 11 = 0

x^{2} - 2 x + 5 = x^{2}

{(x + 2)}^{2} = 2 x^{2}

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