Find the discriminant of the following quadra | vedclass

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(D) Comparing the given equation $\sqrt{5} x^{2}-2 \sqrt{2} x-2 \sqrt{5}=0$ with the standard form $ax^{2}+bx+c=0$,we get:$a = \sqrt{5}$,$b = -2\sqrt{

Vedclass · Accepted Answer

$48$

Vedclass · Answer

(D) Comparing the given equation $\sqrt{5} x^{2}-2 \sqrt{2} x-2 \sqrt{5}=0$ with the standard form $ax^{2}+bx+c=0$,we get:$a = \sqrt{5}$,$b = -2\sqrt{2}$,and $c = -2\sqrt{5}$.The discriminant $D$ is given by the formula $D = b^{2}-4ac$.Substituting the values:$D = (-2\sqrt{2})^{2} - 4(\sqrt{5})(-2\sqrt{5})$$D = (4 	imes 2) - 4(-2 	imes 5)$$D = 8 - (-40)$$D = 8 + 40 = 48$.Thus,the discriminant is $48$.

Find the discriminant of the following quadratic equation: $\sqrt{5} x^{2}-2 \sqrt{2} x-2 \sqrt{5}=0$.

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