Check whether the following are quadratic equations:
x (x + 1) + 8 = (x + 2) (x − 2)
Given; x (x + 1) + 8 = (x + 2) (x − 2)
⇒ x2 + x + 8 = x2 − 22
⇒ x2 + x + 8 − x2 + 4 = 0
⇒ x + 12 = 0
∵ The highest power of x in the equation is 1;
∴ It is not a quadratic equation.
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