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Question

Which of the following equations are quadratic?
(i) 13 = 5y2 - y3

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Solution

An equation is quadratic in variable x if it is of the form ax2+bx+c = 0, where a,b and c are real numbers and a0 .
Given: 13 = – 5y2 – y3
On transposing all the terms of the right-hand side to the left-hand side, we get:
5y2 + y3 + 13 = 0
This is not a quadratic equation as the highest index of the variable y is 3.

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