(A) For a quadratic equation of the form $ax^{2}+bx+c=0$,the discriminant $D$ is given by $D = b^{2}-4ac$.Given equation: $6x^{2}-x-k=0$.Here,$a=6, b=

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(A) For a quadratic equation of the form $ax^{2}+bx+c=0$,the discriminant $D$ is given by $D = b^{2}-4ac$.Given equation: $6x^{2}-x-k=0$.Here,$a=6, b=-1, c=-k$.Given that the discriminant $D = 25$.Substituting the values into the formula: $(-1)^{2}-4(6)(-k) = 25$.$1+24k = 25$.$24k = 25-1$.$24k = 24$.$k = 1$.

Class 10 Mathematics Quadratic Equations Mix Examples - Quadratic Equations

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If the value of the discriminant of a quadratic equation $6x^{2}-x-k=0$ is $25$,then $k = \ldots$

A
$1$
B
$-1$
C
$2$
D
$-2$

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Mix Examples - Quadratic Equations

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If the value of the discriminant of a quadratic equation $6x^{2}-x-k=0$ is $25$,then $k = \ldots$

Similar Questions

Find the roots of the quadratic equation by using the quadratic formula: $-x^{2}+7x-10=0$.

If the following quadratic equation has two equal and real roots,then find the value of $k$: $(k+1)x^2 - 2(k-1)x + 1 = 0$.

Obtain the roots of the following quadratic equation by using the quadratic formula: $2x^{2} + 5\sqrt{3}x + 6 = 0$.

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

Find the roots of the following quadratic equation by the factorisation method:$3 \sqrt{2} x^{2}-5 x-\sqrt{2}=0$

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Find the roots of the following quadratic equation by the factorisation method:
$3 \sqrt{2} x^{2}-5 x-\sqrt{2}=0$