# Which of the following is not a quadratic equation? - Mathematics

MCQ

Which of the following is not a quadratic equation?

#### Options

• 2(x - 1)^2 = 4x^2 - 2x + 1

• 2x - x^2 = x^2 + 5

• (sqrt(2)x + sqrt(3))^2 + x^2 = 3x^2 - 5x

• (x^2 + 2x)^2 = x^4 + 3 + 4x^3

#### Solution

(x^2 + 2x)^2 = x^4 + 3 + 4x^3

Explanation:

A quadratic equation is represented by the form,

ax2 + bx + c = 0, a ≠ 0

Given, (x2 + 2x)2 = x4 + 3 + 4x2

x4 + 4x3 + 4x2 = x4 + 3 + 4x2

4x3 – 3 = 0

which is a cubic equation and not a quadratic equation.

Is there an error in this question or solution?

#### APPEARS IN

NCERT Mathematics Exemplar Class 10