# How do you solve #sqrt{3x^{2} - 12x + 9} + 3= 3x#?

##### 2 Answers

x = 1 only

#### Explanation:

rewrite as

square both sides

collect like terms and simplify 6

divide by 6 .........

factorise gives x(x - 1) = 0

so possibly x = 0 or x = 1

check in given equation if valid, if x = 0 then 3 = 0 not possible

so x = 0 is not a valid solution.

check in given equation if valid, if x = 1 then 3 = 3 is possible

so x = 1 is a valid solution.

Just to clarify what the previous contributor said.

#### Explanation:

Isolate the

However, checking in the original equation,

Hopefully this helps!