Solve the quadratic equation: $5 x^{2} = 625$

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Solution

The given quadratic equation $5 x^{2} = 625$ can be simplified as follows:

$5 x^{2} = 625 \Rightarrow x^{2} = \frac{625}{5} \Rightarrow x^{2} = 125 \Rightarrow x = \sqrt{125} \Rightarrow x = \sqrt{25 \times 5} \Rightarrow x = \pm 5 \sqrt{5}$

Hence, $x = \pm 5 \sqrt{5}$ .

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