Question

find the sum of the cubes of the roots of x^4-22x^2+84x-49=0​

Answer 1

Answer:

Equation at the end of step 1

(((x4) - (2•11x2)) + 84x) - 49 = 0

STEP

2

:

Checking for a perfect cube

2.1 x4-22x2+84x-49 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: x4-22x2+84x-49

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 84x-49

Group 2: -22x2+x4

Pull out from each group separately :

Group 1: (12x-7) • (7)

Group 2: (x2-22) • (x2)

Hope it helps You