(D) For a quadratic equation in the form $ax^{2}+bx+c=0$,the discriminant $D$ is given by the formula $D = b^{2}-4ac$.Comparing the given equation $x^

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(D) For a quadratic equation in the form $ax^{2}+bx+c=0$,the discriminant $D$ is given by the formula $D = b^{2}-4ac$.Comparing the given equation $x^{2}-7x+10=0$ with the standard form,we have $a=1$,$b=-7$,and $c=10$.Substituting these values into the formula:$D = (-7)^{2} - 4(1)(10)$$D = 49 - 40$$D = 9$Thus,the discriminant is $9$.

Class 10 Mathematics Quadratic Equations Nature of Roots

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Find the discriminant of the following quadratic equation: $x^{2}-7x+10=0$

A
$24$
B
$11$
C
$10$
D
$9$

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Find the discriminant of the following quadratic equation: $x^{2}-7x+10=0$

Similar Questions

If the following quadratic equation has two equal and real roots,then find the value of $k$: $2kx^2 - 8x + k = 0$.

Find the discriminant of the following quadratic equation: $\sqrt{5} x^{2}-2 \sqrt{2} x-2 \sqrt{5}=0$.

Find whether the following equation has real roots. If real roots exist,find them.$5x^{2}-2x-10=0$

Find the discriminant of the following quadratic equation: $5x^{2} + 2x - 1 = 0$.

If the following quadratic equation has two equal and real roots,then find the value of $k$: $x(4 - kx) = 3 - 2x$.

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Find whether the following equation has real roots. If real roots exist,find them.
$5x^{2}-2x-10=0$