(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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Quadratic Equations

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Mix Examples - Quadratic Equations

State whether the quadratic equation $(x+1)(x-2)+x=0$ has two distinct real roots. Justify your answer.

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Solve the following equation by using the quadratic formula,if the equation has a solution in $R$: $x^{2}-3x-4=0$.

Easy

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Examine whether the following equation is quadratic or not: $x^{2}-3=\frac{2}{x}$

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

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State whether the quadratic equation $3 x^{2}-4 x+1=0$ has two distinct real roots. Justify your answer.

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

Similar Questions

State whether the quadratic equation $(x+1)(x-2)+x=0$ has two distinct real roots. Justify your answer.

Solve the following equation by using the quadratic formula,if the equation has a solution in $R$: $x^{2}-3x-4=0$.

Examine whether the following equation is quadratic or not: $x^{2}-3=\frac{2}{x}$

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

State whether the quadratic equation $3 x^{2}-4 x+1=0$ has two distinct real roots. Justify your answer.

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