Solve this equation (15x^3 - 2) ^3 = 2197

Question

Jimmy Allen

Mathematics

2 August, 00:50

Solve this equation (15x^3 - 2) ^3 = 2197

+5

Answers (1)

Know the Answer?

Frankie Thornton · Answer 1

x=1

Step-by-step explanation:

(15x^3 - 2) ^3 = 2197

Take the cube root of each side

(15x^3 - 2) ^3 ^ 1/3 = 2197^ 1/3

15x - 2 = 13

Add 2 to each side

15x^3 - 2+2 = 13+2

15x^3 = 15

Divide each side by 15

15x^3 / 15 = 15/15

x^3 = 1

Take the cube root of each side

x^3 ^1/3 = 1^1/3

x=1