(A) Given equation: $(x-2)^{2}+1=2x-3$Expand the left side using the identity $(a-b)^{2} = a^{2}-2ab+b^{2}$:$(x^{2}-4x+4)+1=2x-3$$x^{2}-4x+5=2x-3$Brin

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

Yes,it is a quadratic equation.

(A) Given equation: $(x-2)^{2}+1=2x-3$Expand the left side using the identity $(a-b)^{2} = a^{2}-2ab+b^{2}$:$(x^{2}-4x+4)+1=2x-3$$x^{2}-4x+5=2x-3$Bring all terms to one side to set the equation to zero:$x^{2}-4x-2x+5+3=0$$x^{2}-6x+8=0$Since this equation is in the form $ax^{2}+bx+c=0$ where $a \neq 0$,it is a quadratic equation.

Class 10 Mathematics Quadratic Equations Mix Examples - Quadratic Equations

Easy

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

A
Yes,it is a quadratic equation.
B
No,it is not a quadratic equation.
C
It is a linear equation.
D
It is a cubic equation.

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: $16 x^{2}-24 x-1=0$

Medium

View Solution

If both the roots of a quadratic equation $kx^{2} + 4x + 1 = 0$ are equal,then $k = \ldots$

Easy

View Solution

If the following quadratic equation has two equal and real roots,then find the value of $k$: $x^{2} - kx + 25 = 0$.

Medium

View Solution

Solve the following equation using the method of factorization and write its solution set: $\frac{x}{x+1} + \frac{x+1}{x} = \frac{41}{20}$

Medium

View Solution

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

Difficult

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

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

Similar Questions

Find the roots of the following quadratic equation by the method of completing the square: $16 x^{2}-24 x-1=0$

If both the roots of a quadratic equation $kx^{2} + 4x + 1 = 0$ are equal,then $k = \ldots$

If the following quadratic equation has two equal and real roots,then find the value of $k$: $x^{2} - kx + 25 = 0$.

Solve the following equation using the method of factorization and write its solution set: $\frac{x}{x+1} + \frac{x+1}{x} = \frac{41}{20}$

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

Vedclass Test Series

Exam Paper Generator

Online Exam Module