Short-Answer Questions

Question:

Short-Answer Questions

Solve: $3 x^{2}+5 \sqrt{5} x-10=0$

 

Solution:

$3 x^{2}+5 \sqrt{5} x-10=0$

$\Rightarrow 3 x^{2}+6 \sqrt{5} x-\sqrt{5} x-10=0$

$\Rightarrow 3 x(x+2 \sqrt{5})-\sqrt{5}(x+2 \sqrt{5})=0$

$\Rightarrow(x+2 \sqrt{5})(3 x-\sqrt{5})=0$

$\Rightarrow x+2 \sqrt{5}=0$ or $3 x-\sqrt{5}=0$

$\Rightarrow x=-2 \sqrt{5}$ or $x=\frac{\sqrt{5}}{3}$

Hence, $-2 \sqrt{5}$ and $\frac{\sqrt{5}}{3}$ are the roots of the given equation.

Leave a comment

Close
faculty

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now