(A) The given quadratic equation is $9x^{2} - bx + 3 = 0$.Comparing this with the standard form $Ax^{2} + Bx + C = 0$,we get:$A = 9$,$B = -b$,and $C =

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(A) The given quadratic equation is $9x^{2} - bx + 3 = 0$.Comparing this with the standard form $Ax^{2} + Bx + C = 0$,we get:$A = 9$,$B = -b$,and $C = 3$.The discriminant $D$ is given by the formula $D = B^{2} - 4AC$.Substituting the values,we get:$D = (-b)^{2} - 4(9)(3)$.$D = b^{2} - 108$.

Class 10 Mathematics Quadratic Equations Mix Examples - Quadratic Equations

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Find the discriminant of the following quadratic equation: $9x^{2} - bx + 3 = 0$.

A
$b^{2} - 108$
B
$b^{2} + 108$
C
$b^{2} - 27$
D
$b^{2} + 27$

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Mix Examples - Quadratic Equations

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Find the discriminant of the following quadratic equation: $9x^{2} - bx + 3 = 0$.

Similar Questions

Find the discriminant of the following quadratic equation: $4x^{2} - 12x + 9 = 0$.

If the following quadratic equation has two equal and real roots,then find the value of $k$: $x^{2} + 2kx + 4 = 0$.

If one root of a quadratic equation $ax^2 + bx + c = 0$ is $\frac{-b + \sqrt{D}}{2a}$,then the other root is $\ldots \ldots \ldots \ldots$.

If the following quadratic equation has two equal and real roots,then find the value of $k$: $k x^{2} - 2 \sqrt{5} x + 4 = 0$.

Find the roots of the following quadratic equation by using the quadratic formula,if they exist: $9x^{2} - 5x + 3 = 0$.

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