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Question

Simplify x+23=2xx2-1 and check whether it is a quadratic equation


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Solution

Step 1: Finding the simplest form

Consider x+23=2xx2-1

We know that a+b3=a3+b3+3a2b+3ab2

x+23=2xx2-1x3+23+3x22+3x22=2x3-2xx3+8+6x2+3x4-2x3+2x=0x3+8+6x2+12x-2x3+2x=0-x3+8+6x2+14x=0-x3+6x2+14x+8=0

Hence, x+23=2xx2-1 is -x3+6x2+14x+8=0

Step 2: Find whether the equation is quadratic or not

To check whether the equation is quadratic or not

Consider -x3+6x2+14x+8=0

Since the equation has degree 3.

Hence, -x3+6x2+14x+8=0 not a quadratic equation.


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