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(C) The given quadratic equation is $5x^{2} + 8x + 3 = 0$.Comparing this with the standard form $ax^{2} + bx + c = 0$,we get $a = 5$,$b = 8$,and $c =

Vedclass · Accepted Answer

$-\frac{3}{5}, -1$

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(C) The given quadratic equation is $5x^{2} + 8x + 3 = 0$.Comparing this with the standard form $ax^{2} + bx + c = 0$,we get $a = 5$,$b = 8$,and $c = 3$.The discriminant $D$ is given by $D = b^{2} - 4ac$.$D = (8)^{2} - 4(5)(3) = 64 - 60 = 4$.Since $D > 0$,real solutions exist.The quadratic formula is $x = \frac{-b \pm \sqrt{D}}{2a}$.Substituting the values: $x = \frac{-8 \pm \sqrt{4}}{2(5)} = \frac{-8 \pm 2}{10}$.Case $1$: $x = \frac{-8 + 2}{10} = \frac{-6}{10} = -\frac{3}{5}$.Case $2$: $x = \frac{-8 - 2}{10} = \frac{-10}{10} = -1$.Thus,the solutions are $-\frac{3}{5}$ and $-1$.

Solve the following quadratic equation using the quadratic formula,if the equation has a solution in $R$: $5x^{2} + 8x + 3 = 0$.

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