Examine whether the following equations are quadratic equations or not:

Question

Philoid · Accepted Answer

For simplification of denominator use formula (a + b)(a – b) = a² – b²

⇒ – 2 = 3 × (x² – 1)

⇒ – 2 = 3x² – 3

⇒ 3x² – 3 + 2 = 0

⇒ 3x² + 0x – 1 = 0

Comparing equation 3x² + 0x – 1 = 0 with ax² + bx + c = 0 we get

a = 3, b = 0 and c = – 1

Here a, b, c ∈ R and a ≠ 0

The degree of polynomial 3x² + 0x – 1 = 0 is 2

Hence is a quadratic equation