Question

find the roots of quadratic equation root2x^2+2x+5root2=0?...
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Answer 1

${\red {{\bold{ \huge \dag }}\bold {\huge{{\mathcal {\underline{Answer}}}} \dag}}}$

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

$\longrightarrow \boxed{x = \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a} }$

Putting value,

$\longrightarrow \: x = \frac{ - 2± \sqrt{4 - 40 \sqrt{2} } }{4}$

$\longrightarrow \: x = - \frac{1}{2} ± \frac{ \sqrt{4 - 4</p><p>0 \sqrt{2} } }{4}$

$\\ \bold{you \: can \: easily \: see \: that \: the \: roots \: are \: imaginary}$

HOPE THIS IS HELPFUL