Find the discriminant of the following quadra | vedclass

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Question

(D) For a quadratic equation of the form $ax^{2} + bx + c = 0$,the discriminant $D$ is given by the formula $D = b^{2} - 4ac$.Given the equation: $\sq

Vedclass · Accepted Answer

$67$

Vedclass · Answer

(D) For a quadratic equation of the form $ax^{2} + bx + c = 0$,the discriminant $D$ is given by the formula $D = b^{2} - 4ac$.Given the equation: $\sqrt{5} x^{2} - 3 \sqrt{3} x - 2 \sqrt{5} = 0$.Here,$a = \sqrt{5}$,$b = -3 \sqrt{3}$,and $c = -2 \sqrt{5}$.Substituting these values into the formula:$D = (-3 \sqrt{3})^{2} - 4(\sqrt{5})(-2 \sqrt{5})$$D = (9 	imes 3) - 4(-2 	imes 5)$$D = 27 - 4(-10)$$D = 27 + 40$$D = 67$.Thus,the discriminant is $67$.

Find the discriminant of the following quadratic equation: $\sqrt{5} x^{2}-3 \sqrt{3} x-2 \sqrt{5}=0$.

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