Sqrt x^2 = 3 sqrt x #solve the equations

Question

Sqrt x^2 = 3 sqrt x #solve the equations

Answer 1

Square both sides of the equation

 

x² = 3√x

 

x⁴ = 9x

 

x⁴ - 9x = x(x³ - 9) = 0

 

x = 0 and x³ - 9 = 0

 

x³ = 9

 

x = the cube root of 9

 

The solutions are x = 0 and x - the cube root of 9