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Framing Second Degree Equations

Following equ...

Question

Following equation is a linear equation
$2 (x - 1)^{2} = 4 x^{2} - 2 x + 1$

A

True

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B

False

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Solution

The correct option is B
False

Given that, $2 (x - 1)^{2} = 4 x^{2} - 2 x + 1$
$\Rightarrow 2 (x^{2} + 1 - 2 x) = 4 x^{2} - 2 x + 1 \Rightarrow 2 x^{2} + 2 - 4 x = 4 x^{2} - 2 x + 1 \Rightarrow 2 x^{2} + 2 x - 1 = 0$
which represents a quadratic equation because it has the quadratic form $a x^{2} + b x + c = 0, a \neq 0$

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