(A) To verify if $x = 2$ is a solution,substitute $x = 2$ into the left-hand side $(LHS)$ of the equation:$LHS$ = $\frac{1}{2+4} - \frac{1}{2-7}$$LHS$

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

(A) To verify if $x = 2$ is a solution,substitute $x = 2$ into the left-hand side $(LHS)$ of the equation:$LHS$ = $\frac{1}{2+4} - \frac{1}{2-7}$$LHS$ = $\frac{1}{6} - \frac{1}{-5}$$LHS$ = $\frac{1}{6} + \frac{1}{5}$$LHS$ = $\frac{5+6}{30} = \frac{11}{30}$Since $LHS$ = $RHS$ $(\frac{11}{30})$,the value $x = 2$ is a solution of the given quadratic equation.

Class 10 Mathematics Quadratic Equations Mix Examples - Quadratic Equations

Easy

Verify whether the given value of $x = 2$ is a solution of the quadratic equation $\frac{1}{x+4} - \frac{1}{x-7} = \frac{11}{30}$ or not.

A
Yes,it is a solution.
B
No,it is not a solution.
C
It is a solution only for $x > 0$.
D
The equation is undefined at $x = 2$.

Explore More

Browse All

Question Bank

All Subjects

Class 10 Questions

Class 10

Mathematics Questions

Chapter

Quadratic Equations

Subtopic

Mix Examples - Quadratic Equations

Find the roots of the following quadratic equation by the method of completing the square: $x^{2}-(\sqrt{3}+1) x+\sqrt{3}=0$

Medium

View Solution

Find the roots of the following quadratic equation by the method of completing the square: $4x^{2} + 20x + 23 = 0$.

Medium

View Solution

If $x=2$ is one of the solutions of the quadratic equation $k x^{2}+3 x-4=0,$ then what is the value of $k$?

Easy

View Solution

......... can be taken as the value of $k$,if one of the roots of the quadratic equation $k x^{2} - 7x + 6 = 0$ is $\frac{3}{2}$.

Easy

View Solution

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

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

Verify whether the given value of $x = 2$ is a solution of the quadratic equation $\frac{1}{x+4} - \frac{1}{x-7} = \frac{11}{30}$ or not.

Similar Questions

Find the roots of the following quadratic equation by the method of completing the square: $x^{2}-(\sqrt{3}+1) x+\sqrt{3}=0$

Find the roots of the following quadratic equation by the method of completing the square: $4x^{2} + 20x + 23 = 0$.

If $x=2$ is one of the solutions of the quadratic equation $k x^{2}+3 x-4=0,$ then what is the value of $k$?

......... can be taken as the value of $k$,if one of the roots of the quadratic equation $k x^{2} - 7x + 6 = 0$ is $\frac{3}{2}$.

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

Vedclass Test Series

Exam Paper Generator

Online Exam Module

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