(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^

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(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

Easy

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

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

Explore More

Browse All

Question Bank

All Subjects

Class 10 Questions

Class 10

Mathematics Questions

Chapter

Quadratic Equations

Subtopic

Mix Examples - Quadratic Equations

If one of the roots of the equation $3x^{2} + 2kx - 3 = 0$ is $-\frac{1}{2}$,then find the value of $k$.

Easy

View Solution

Solve the following equation using the quadratic formula,if the equation has a solution in $R$: $\sqrt{3}x^{2} - 2x + \sqrt{3} = 0$

Easy

View Solution

Find whether the following equation has real roots. If real roots exist,find them.
$8 x^{2}+2 x-3=0$

Medium

View Solution

$x = \dots$ is a solution of the quadratic equation $x^{2} + 7x + 12 = 0$.

Easy

View Solution

Solve the following quadratic equation using the quadratic formula,if the equation has a solution in $R$: $48m^{2} - 13m - 1 = 0$.

Medium

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

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

Similar Questions

If one of the roots of the equation $3x^{2} + 2kx - 3 = 0$ is $-\frac{1}{2}$,then find the value of $k$.

Solve the following equation using the quadratic formula,if the equation has a solution in $R$: $\sqrt{3}x^{2} - 2x + \sqrt{3} = 0$

Find whether the following equation has real roots. If real roots exist,find them.$8 x^{2}+2 x-3=0$

$x = \dots$ is a solution of the quadratic equation $x^{2} + 7x + 12 = 0$.

Solve the following quadratic equation using the quadratic formula,if the equation has a solution in $R$: $48m^{2} - 13m - 1 = 0$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Find whether the following equation has real roots. If real roots exist,find them.
$8 x^{2}+2 x-3=0$