Question

Is x³ - 4x² - x + 1 = (x - 2)³ a quadratic equation?

Answer 1

The given equation appears to be a cubic equation and not a quadratic equation but it turns out to be a quadratic equation. So we have to simplify the given equation before deciding whether it is quadratic equation or not.

SOLUTION:

Given Equation is x³ - 4x² - x  + 1 = (x - 2)³

x³ - 4x² - x  + 1 = x³ -3(x)²×2 +3x(2)² - (2)³
[ (a-b)³= a³ -3a²b + 3ab² - b³]

x³ - 4x² - x  + 1 = x³ - 6x² + 12x - 8
x³ -  x³ - 4x² +6x² - x - 12x + 1+8= 0

2x² -13x +9= 0

Which is of the form ax² + bx+c = 0

Hence, it is a quadratic equation.

HOPE THIS WILL HELP YOU...