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P-1 Quadratic Equations — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsP-1 Quadratic Equations2 Marks
Question
Solve the following quadratic equation by factorization.
$\sqrt{2 x^2}+7 x+5 \sqrt{2}=0 $ to solve this quadratic equation by factorization, complete the following activity.
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Answer

$\sqrt{2 x^2}+7 x+5 \sqrt{2}=0 $
$\sqrt{2} x^2+5 x+2 x+5 \sqrt{2}=0 $
$x(\sqrt{2} x+5)+\sqrt{2}(\sqrt{2} x+5)=0 $
$(x+\sqrt{2})(\sqrt{2} x+5)=0 $
$(x+\sqrt{2})=0 \text { or }(\sqrt{2} x+5)=0 $
$x=-\frac{5}{\sqrt{2}} \text { or } x=-\sqrt{2}$
$\therefore-\frac{5}{\sqrt{2}}$ and $-\sqrt{2}$ are roots of the equation.

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