Solve the equation

Question

x^3/2 = 216

3x^5/3 - 10 = 86

Answer 1

x^3/2 = 216 Raise both sides to the 2/3 power

(x^3/2)^2/3 = (216)^2/3

x=36

3x^5/3 - 10 = 86 Add 10 to both sides of the equation

3x^5/3 - 10 +10 = 86 +10 Simplify

3x^5/3 = 96 Divide both sides by 3

3x^5/3/3 = 96/3 Simplify

x^5/3 = 32 Raise both sides to the 3/5 power

(x^5/3)^3/5 = (32)^3/5

x=8