# How do you solve #9x^2 = x^3 #?

##### 2 Answers

May 18, 2016

#x=0#

#x=9#

#### Explanation:

Given -

#9x^2=x^3#

#9x^2-x^3=0#

#x^2(9-x)=0#

#x^2=0#

#x=0#

#9-x=0#

#x=9#

May 19, 2016

#=> x = 0 or 9#

#### Explanation:

While most people would straightaway cancel the

This is an important concept to have not to cancel x terms on either side of the equation but to bring everything over to one side

So we get our 3 solutions out of which 2 are not distinct roots