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

Given, Equation : x 2 + 3x + 1 = (x - 2) 2 ⇒ x 2 + 3x + 1 = x 2 + 4 - 4x ⇒ x 2 - x 2 + 3x + 4x + 1 - 4 = 0 ⇒ 7x - 3 = 0. The above equation is not of the form ax 2 + bx + c = 0. Hence, the above equation is not a quadratic equation.

Mathematics

Check whether the following is quadratic equation :
x² + 3x + 1 = (x - 2)²

Quadratic Equations

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Answer

Given,

Equation : x² + 3x + 1 = (x - 2)²

⇒ x² + 3x + 1 = x² + 4 - 4x

⇒ x² - x² + 3x + 4x + 1 - 4 = 0

⇒ 7x - 3 = 0.

The above equation is not of the form ax² + bx + c = 0.

Hence, the above equation is not a quadratic equation.

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Check whether the following is quadratic equation :
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Quadratic Equations

Answer

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Check whether the following is quadratic equation :x2 + 3x + 1 = (x - 2)2

Quadratic Equations

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