Question

Which of the following is not a quadratic equation?

विकल्प

• 2(x – 1)² = 4x² – 2x + 1

• 2x – x² = x² + 5

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

• (x² + 2x)² = x⁴ + 3 + 4x³

Answer 1

`bb((sqrt2x + sqrt3)^2 + x^2 = 3x^2 - 5x)`

Explanation:

Considering `(sqrt2x + sqrt3)^2 + x^2` = 3x² – 5x

`\implies 2x^2 + 3 + 2sqrt(6)x + x^2` = 3x² – 5x

`\implies 5x + 2sqrt(6) + 3` = 0

Hence, it is not a quadratic equation.