Q1 of 108 Page 40

Check whether the following are quadratic equations:

(x + 2)3 = x3 – 4


Let us solve the above equation,

(x + 2)3 = x3 – 4


x3 + 3x2 × 2 + 3x × 4 + 8 = x3 – 4


x3 + 6x2 + 12x + 8 = x3 – 4


x3 + 6x2 + 12x + 8 - x3 + 4 = 0


6x2 + 12x + 12 = 0


6(x2 + 2x + 1) = 0


x2 + 2x + 1 = 0


Since on solving the equation we do get the second power of x which proves that the following set of equation is quadratic


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