State whether the given equation is quadratic or not: y + 1/y = 3.

Solution:
The given equation is
y + 1/y  = 3
Multiplying with y on both the sides we get,
y2 + y/y = 3
y2 + 1 = 3
∴ y2 +1 – 3 = 0
∴ y2 – 2 = 0
But, it can be written as y2 + 0x – 2 = 0
Now, it is in the form of ax2 + bx + c = 0,
where a = 1, b = 0 and c = - 2 ,
Here a, b and c are belongs to Real numbers, where a is not equal to zero
∴ It is a quadratic eqution.

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