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Question

Check whether the following are Quadratic equations
(2x1)(x3)=(x+5)(x1)

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Solution

(2x1)(x3)=(x+5)(x1)
2x26xx+3=x2x+5x5
2x26xx+3=x2+4x5

2x27x+3x24x+5=0

x28x+8=0

The above equation is a quadratic one as the degree (highest power of the variable) of the equation is 2.

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