What's up solution should be used to rewrite 16 (x^3+1) ^2-22 (x^3+1) - 3=0

x = cuberoot (-9/8) = - 1.04004 or x = cuberoot (1/2) = 0.7937

Step-by-step explanation:

let y = x^3 + 1

we have:

16 * (y) ^2 - 22 (y) - 3 = 0

16 = 2 * 8

-3 = - 3 * 1

8*-3 + 2 = - 24 + 2 = - 22

Factor as (8y + 1) (2y - 3) = 16 (y) ^2 - 22 (y) - 3 = 0

so (8y + 1) = 0 or 2y - 3 = 0

y = - 1/8 OR y = 3/2

with y = x^3 + 1

solve for x

-1/8 = x^3 + 1

x^3 = - 9/8

x = cuberoot (-9/8)

about x = - 1.04004

or 3/2 = x^3 + 1

1/2 = x^3

x = cuberoot (1/2) = 0.7937