Question

x³- 4x²- x+ 1 = (x-3)³​

Answer 1

Answer:

x = 14+-2√14/5

Step-by-step explanation:

x³-4x²-x+1 = (x-3)³

x³-4x²-x+1 = x³-27-3(x)²(3)+3(x)(3)²

x³-4x²-x+1 = x³-27-9x²+27x

-4x²+9x²-x-27x+1+27 = 0

5x²-28x+28 = 0

Here, a = 5 , b = -28 , c = 28

D = -b +- √b²-4ac / 2a

D = 28 +- √784-560/10

D = 28+-√224/10

D = 28+-4√14/10

D = 14 +- 2√14 / 5

x = 14+2√14/5 or x= 14-2√14/5