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Find the roots of the quadratic equation $\sqrt{2}x^{2}+7x+5\sqrt{2}=0$.
Given: Quadratic equation $\sqrt{2}x^{2}+7x+5\sqrt{2}=0$.
To do: To find the roots of the quadratic equation.
Solution:
$\sqrt{2} x² +7x +5 \sqrt{2} = 0$
$\Rightarrow \sqrt{2} x² + 5x + 2x + 5\sqrt{2} = 0$
$\Rightarrow \sqrt{2}x² + 5x + \sqrt{2}*\sqrt{2}*x + 5\sqrt{2}=0$
$\Rightarrow x(\sqrt{2}x + 5) + \sqrt{2}(\sqrt{2}x + 5) =0$
$\Rightarrow (x+\sqrt{2})(\sqrt{2}x+5) = 0$
$x= - \sqrt{2}\ or\ x= - \frac{5}{\sqrt{2}}$
Updated on: 10-Oct-2022
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