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Mathematics

Check whether the following is quadratic equation :

(x - 3)(2x + 1) = x(x + 5)

Quadratic Equations

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Answer

Given,

Equation : (x - 3)(2x + 1) = x(x + 5)

⇒ 2x2 + x - 6x - 3 = x2 + 5x

⇒ 2x2 - x2 + x - 6x - 5x - 3 = 0

⇒ x2 - 10x - 3 = 0.

The above equation is of the form ax2 + bx + c = 0.

Hence, the above equation is a quadratic equation.

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