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Solving Linear Equations Using Transpose of Terms

Solve the equ...

Question

Solve the equation $4 + x^{2} = 2 x^{2} - 5$ .

{x : x = 3}

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{x : x = - 3}

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{x : x = \pm 3}

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{x : x = - 1}

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{x : x = 1}

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Solution

The correct option is C ${x : x = \pm 3}$
Give that $4 + x^{2} = 2 x^{2} - 5$
$\Rightarrow 2 x^{2} - x^{2} = 4 + 5 \Rightarrow x^{2} = 9 \Rightarrow x = + 3, - 3$

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