Examine whether the following equations are quadratic equations or not:

x +
= 2
⇒
= 2
⇒ x2 + 1 = 2x
⇒ x2 – 2x + 1 = 0
Comparing equation x2 – 2x + 1 = 0 with ax2 + bx + c = 0 we get
a = 1, b = – 2 and c = 1
Here a, b, c ∈ R and a ≠ 0
The degree of polynomial x2 – 2x + 1 = 0 is 2
Hence x +
= 2 is a quadratic equation
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