Question

Find the roots of root2x2+7x+5root2

Answer 1

Given equation

$\sqrt{2}x^{2} + 7x + 5\sqrt{2} = 0$

Solving, we get,

$\sqrt{2} x^{2} +7x+5\sqrt{2} = 0$

$=> \sqrt{2} x^{2} + 2x + 5x + 5\sqrt{2} = 0$

$=> \sqrt{2} x(x+\sqrt{2})+5(x+\sqrt{2}) = 0$

$=> (\sqrt{2} x+5)(x+\sqrt{2})=0$

Now,

$\sqrt{2} x+ 5 = 0\\=> \boxed{\boxed{\bold{x = \frac{-5}{\sqrt{2} }}}}$

$x+\sqrt{2}=0\\ => \boxed{\boxed{\bold{x = -\sqrt{2}}}}$

                                                   

Answer 2

$\large \underline{ \red{ \boxed{ \bf \orange{Required \: Answer}}}}$