Q1 of 83 Page 76

Examine whether the following equations are quadratic equations or not:




Expand numerator using formula (a + b)2 = a2 + 2ab + b2 and (a – b)2 = a2 – 2ab + b2 and denominator using formula (a + b)(a – b) = a2 – b2






⇒ – 4x = x2 – 1


⇒ x2 + 4x – 1 = 0


Comparing equation x2 + 4x – 1 = 0 with ax2 + bx + c = 0 we get


a = 1, b = 4 and c = – 1


Here a, b, c ∈ R and a ≠ 0


The degree of polynomial x2 + 4x – 1 = 0 is 2


Hence – = is a quadratic equation


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