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Question
Check whether the following is the quadratic equation:
x2 - 2x = (-2)(3 - x)
Solution
x2 - 2x = (-2)(3 - x)
⇒ x2 - 2x = -6 + 2x
⇒ x2 - 2x - 2x + 6 = 0
⇒ x2 - 4x + 6 = 0
It is of the form ax2 + bx + c = 0.
Hence, the given equation is a quadratic equation.
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