Question

what are the roots of the quadratic equation √2x2+3=0​

Answer 1

Answer in. the attachment ❤❤❤

Answer 2

Answer:

The roots of the given quadratic equation are

$\displaystyle{\boxed{\red{\sf\:x\:=\:\sqrt{-\:\dfrac{3}{2}}}}\sf\:\quad\:OR\:\quad\:\boxed{\red{\sf\:x\:=\:-\:\sqrt{-\:\dfrac{3}{2}}}}}$

Step-by-step-explanation:

The given quadratic equation is $\displaystyle{\sf\:\sqrt{2x^2\:+\:3}\:=\:0}$

We have to find the roots of the quadratic equation.

Now,

$\displaystyle{\sf\:\sqrt{2x^2\:+\:3}\:=\:0}$

$\displaystyle{\implies\sf\:(\:\sqrt{2x^2\:+\:3}\:)^2\:=\:0\:\quad\:\dots\:[\:Squaring\:both\:sides\:]}$

$\displaystyle{\implies\sf\:2x^2\:+\:3\:=\:0}$

$\displaystyle{\implies\sf\:2x^2\:=\:-\:3}$

$\displaystyle{\implies\sf\:x^2\:=\:-\:\dfrac{3}{2}}$

$\displaystyle{\implies\underline{\boxed{\red{\sf\:x\:=\:\pm\:\sqrt{-\:\dfrac{3}{2}}}}}}$