Roots x 2 x squareroot 3 x squareroot 3 roots x 1 x 5

Roots: x = -2, x = squareroot 3, x = -squareroot 3 roots: x = 1, x = 5 + squareroot 89/4, x = 5 - squareroot 89/4

Solution

a) Equation is

(x + 2)(x - 3)(x + 3) = 0

x^3 + 2x^2 – 3x – 6 = 0

b) Equation is

(x - 1)(x - 3.608495)(x +1.10849528) = 0

x^3 – (7/2)*x^2 – (3/2)x + 4 = 0

2x^3 – 7x^2 – 3x + 8 = 0