Q1 of 108 Page 40

Check whether the following are quadratic equations:

x(x + 1) + 8 = (x + 2) (x – 2)


Let us solve the above equation,

x (x + 1) + 8 = (x + 2) (x – 2)


x2 + x + 8 = (x2 + 2x – 2x – 4)


x2 + x + 8 = x2 – 4


x2 + x + 8 - x2 + 4 = 0


x + 12 = 0


Since on solving the equation we do not get the second power of x which proves that the following set of equation is not quadratic.


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