(C) Given the quadratic equation $x^{2} = 49$.Subtracting $49$ from both sides,we get $x^{2} - 49 = 0$.This is in the form of $a^{2} - b^{2} = (a - b)

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

(C) Given the quadratic equation $x^{2} = 49$.Subtracting $49$ from both sides,we get $x^{2} - 49 = 0$.This is in the form of $a^{2} - b^{2} = (a - b)(a + b)$,where $a = x$ and $b = 7$.So,$(x - 7)(x + 7) = 0$.Setting each factor to zero,we get $x - 7 = 0$ or $x + 7 = 0$.Therefore,$x = 7$ or $x = -7$.

Class 10 Mathematics Quadratic Equations Mix Examples - Quadratic Equations

Easy

The roots of a quadratic equation $x^{2} = 49$ are ..... .

A
$7$ and $7$
B
$-7$ and $-7$
C
$7$ and $-7$
D
$7$ and $\frac{1}{7}$

Explore More

Browse All

Question Bank

All Subjects

Class 10 Questions

Class 10

Mathematics Questions

Chapter

Quadratic Equations

Subtopic

Mix Examples - Quadratic Equations

Obtain the roots of the following quadratic equation by using the quadratic formula: $9x^{2} + 7x - 2 = 0$.

Easy

View Solution

Solve the following equation using the method of factorization: $6(2x+1)^2 = (2x+1) + 5$

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

While selling a pen for Rs. $24$, the loss percentage is equal to its cost price in rupees. Find the cost price of the pen.

Difficult

View Solution

The roots of $x^{2}+12x+36=0$ are ...........

Easy

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

The roots of a quadratic equation $x^{2} = 49$ are ..... .

Similar Questions

Obtain the roots of the following quadratic equation by using the quadratic formula: $9x^{2} + 7x - 2 = 0$.

Solve the following equation using the method of factorization: $6(2x+1)^2 = (2x+1) + 5$

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

While selling a pen for Rs. $24$, the loss percentage is equal to its cost price in rupees. Find the cost price of the pen.

The roots of $x^{2}+12x+36=0$ are ...........

Vedclass Test Series

Exam Paper Generator

Online Exam Module

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