Question

x³-4x²-x+1=(x-2)³ Check weather the following are quadratic equations
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Answer 1

Answer:

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...

Answer 2

Answer:

yes

Step-by-step explanation:

x³ - 4x² - x + 1 = (x-2 )³

= x³ - 4 x² - x + 1 = x³ - 8 - 6 x ( x - 2 )

= - 4 x² - x + 1 = - 6 x² + 12 x

= - 4 x² - 13 x + 1 = 0