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Question
Find which of the following equations are quadratic:
(x – 1)2 + (x + 2)2 + 3(x + 1) = 0
Solution
(x – 1)2 + (x + 2)2 + 3(x + 1) = 0
`\implies` x2 – 2x + 1 + x2 + 4x + 4 + 3x + 3 = 0
`\implies` 2x2 + 5x + 8 = 0; which is of the form ax2 + bx + c = 0.
∴ Given equation is a quadratic equation.
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