# Which of the following is a quadratic equation? - Mathematics

MCQ

Which of the following is a quadratic equation?

#### Options

• x^2 + 2x + 1 = (4 - x)^2 + 3

• -2x^2 = (5 - x)(x - 2/5)

• (k + 1)x^2 + 3/2x = 7, where k = –1

• x^3 - x^2 = (x - 1)^3

#### Solution

x^3 - x^2 = (x - 1)^3

Explanation:

The standard form of a quadratic equation is given by,

ax2 + bx + c = 0, a ≠ 0

Given, x3 – x2 = (x – 1)3

x3 – x2 = x3 – 3x2 + 3x – 1

2x2 – 3x + 1 = 0

Is there an error in this question or solution?

#### APPEARS IN

NCERT Mathematics Exemplar Class 10