Find the discriminant of the following quadra | vedclass

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(B) Comparing the given equation $4x^{2} + x - 3 = 0$ with the standard form $ax^{2} + bx + c = 0$:Here,$a = 4$,$b = 1$,and $c = -3$.The discriminant

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Real and distinct roots

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(B) Comparing the given equation $4x^{2} + x - 3 = 0$ with the standard form $ax^{2} + bx + c = 0$:Here,$a = 4$,$b = 1$,and $c = -3$.The discriminant $D$ is given by the formula $D = b^{2} - 4ac$.Substituting the values,we get $D = (1)^{2} - 4(4)(-3)$.$D = 1 + 48 = 49$.Since $D = 49 > 0$,the quadratic equation has two distinct real roots.Furthermore,since $49$ is a perfect square,the roots are rational.

Find the discriminant of the following quadratic equation and hence determine the nature of the roots of the equation: $4x^{2} + x - 3 = 0$

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