#### Question

Check whether the following is the quadratic equations : x^{2} + 3x + 1 = (x - 2)^{2}

#### Solution

x^{2} + 3x + 1 = (x - 2)^{2}

⇒ x^{2} + 3x + 1 = x^{2} + 4 - 4x

⇒ 7x - 3 = 0

It is not of the form ax^{2} + bx + c = 0.

Hence, the given equation is not a quadratic equation.

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Solution Check whether the following is the quadratic equations : x^2 + 3x + 1 = (x - 2)^2 Concept: Quadratic Equations.