(C) The given quadratic equation is $k x^{2}-4 x-4=0$.Comparing this with the standard form $a x^{2}+b x+c=0$,we get $a=k$,$b=-4$,and $c=-4$.The discr

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(C) The given quadratic equation is $k x^{2}-4 x-4=0$.Comparing this with the standard form $a x^{2}+b x+c=0$,we get $a=k$,$b=-4$,and $c=-4$.The discriminant $D$ is given by the formula $D = b^{2}-4ac$.Given that $D = 64$,we substitute the values into the formula:$64 = (-4)^{2}-4(k)(-4)$$64 = 16 + 16k$Subtract $16$ from both sides:$48 = 16k$Divide by $16$:$k = 3$.

Class 10 Mathematics Quadratic Equations Mix Examples - Quadratic Equations

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If $64$ is the discriminant of $k x^{2}-4 x-4=0$,then the value of $k$ is ...........

A
$-4$
B
$4$
C
$3$
D
$-3$

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Mix Examples - Quadratic Equations

If $\frac{1}{2}$ is a root of the equation $x^{2}+kx-\frac{5}{4}=0$,then the value of $k$ is

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Solve the following equation using the quadratic formula,if the equation has a solution in $R$: $9x^2 + 6x + 4 = 0$.

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The roots of a quadratic equation $(x-7)^{2}-16=0$ are ...... .

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Find the discriminant of the following quadratic equation and hence determine the nature of the roots of the equation: $x(x - 5) = 36$.

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If the following quadratic equation has two equal and real roots,then find the value of $k$: $3x^{2} - 18x + k = 0$.

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If $64$ is the discriminant of $k x^{2}-4 x-4=0$,then the value of $k$ is ...........

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If $\frac{1}{2}$ is a root of the equation $x^{2}+kx-\frac{5}{4}=0$,then the value of $k$ is

Solve the following equation using the quadratic formula,if the equation has a solution in $R$: $9x^2 + 6x + 4 = 0$.

The roots of a quadratic equation $(x-7)^{2}-16=0$ are ...... .

Find the discriminant of the following quadratic equation and hence determine the nature of the roots of the equation: $x(x - 5) = 36$.

If the following quadratic equation has two equal and real roots,then find the value of $k$: $3x^{2} - 18x + k = 0$.

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