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Check whether the following are quadratic equations: (x − 3) (2x + 1) = x (x + 5) |
Answer» Given; (x − 3) (2x + 1) = x (x + 2) ⇒ 2x2 + x − 6x − 3 = x2 + 5x ⇒ 2x2 + x − 6x − 3 − x2 − 5x = 0 ⇒ x2 − 10x − 3 = 0 ∵ The highest power of x in the equation is 2; ∴ It is a quadratic equation. |
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