(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

Obtain the roots of the following quadratic equation by using the general formula for the solution: $25x^2 + 20x + 7 = 0$.

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Solve the following equation using the method of factorization: $\frac{x^{2}-1}{x^{2}+1}=\frac{7}{9}$

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

Similar Questions

Obtain the roots of the following quadratic equation by using the general formula for the solution: $25x^2 + 20x + 7 = 0$.

Solve the following equation using the method of 'completing the square': $x^{2}+3x-5=0$.

If the roots of the quadratic equation $3x^{2} + 2\sqrt{5}x - 5 = 0$ exist,find them using the method of completing the square.

Solve the following equation using the method of factorization: $\frac{x^{2}-1}{x^{2}+1}=\frac{7}{9}$

Examine whether the following equation is quadratic or not: $(x+2)^{3} = x(x^{2}-1)$

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