(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 Mix Examples - Quadratic Equations

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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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Mix Examples - Quadratic Equations

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

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Solve the following quadratic equation using the method of factorization: $x^{2} + 5x - 66 = 0$.

If the following quadratic equation has two equal and real roots,then find the value of $k$: $(k+1) x^{2}-2(k+3) x+(2 k+3)=0$

Which of the following equations has $2$ as a root?

Does there exist a quadratic equation whose coefficients are all distinct irrationals but both the roots are rationals? Why?

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

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