(A) For a quadratic equation of 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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(A) For a quadratic equation of the form $ax^{2}+bx+c=0$,the discriminant $D$ is given by the formula $D = b^{2}-4ac$.Comparing the given equation $x^{2}+2x-2=0$ with the standard form,we have $a=1$,$b=2$,and $c=-2$.Substituting these values into the formula:$D = (2)^{2} - 4(1)(-2)$$D = 4 - (-8)$$D = 4 + 8$$D = 12$.Therefore,the discriminant is $12$.

Class 10 Mathematics Quadratic Equations Mix Examples - Quadratic Equations

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

A
$12$
B
$10$
C
$9$
D
$17$

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

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If $\frac{1}{2}$ is a root of the equation $x^{2}+kx-\frac{5}{4}=0$,then the value of $k$ is

Find the roots of the following quadratic equation by the method of completing the square: $2x^{2} - 7x + 3 = 0$.

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Find the roots of the following quadratic equation by the factorisation method:
$3x^{2} + 5\sqrt{5}x - 10 = 0$

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