Solve the equation
$x^{4} + 1125 = 134 x^{2}$

{- 5 \sqrt{5}, - 3, 3, 5 \sqrt{5}}

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{3, 5 \sqrt{5}}

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{9, 125}

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{- 125, - 9, 9, 125}

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Solution

The correct option is A ${- 5 \sqrt{5}, - 3, 3, 5 \sqrt{5}}$
$x^{4} - 134 x^{2} + 1125 = 0$
Let $x^{2} = t$
So, it will reduce to $t^{2} - 134 t + 1125 = 0$ .
$t^{2} - 125 t - 9 t + 1125 = 0 t (t - 125) - 9 (t - 125) = 0 (t - 9) (t - 125) = 0 t = 9, 125 ⟹ x^{2} = t ⟹ x^{2} = 9 o r x^{2} = 125 ⟹ x = 3, - 3 o r x = 5 \sqrt{5}, - 5 \sqrt{5}$

The values of x are $3, - 3, 5 \sqrt{5}, - 5 \sqrt{5}$ .

Suggest Corrections

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