Guys need help please...
Solve for x: √(5x-4)=x/2+2

Question

anonymous · Answer

First Raise both sides to the power of two:

$$5x-4=(x/2+2)^2$$
expand terms on right side:
$$5x-4=(x^2/4)+2x+4$$

move everything to left side:
$$(-x^2/4+3x-8)=0$$

the left hand side factors into:

-1/4((x-8)(x-4))=0

multiply both sides by -4

(x-4)(x-8)=0

So the two answers are x =4 and x=8.

anonymous · Answer

Note that you'll have to restrict the domain of the function and check if the answer are in the domain after you solve it.

anonymous · Answer

Both of those are in the domain.

anonymous · Answer

:) Then there's nothing wrong. Sorry, it's a habit I got from my strict math teacher.

anonymous · Answer

Oh no need to apologize, I went back and checked it after you said that.

anonymous · Answer

lol Maths is fun.

anonymous · Answer

Thank you!! ((:

anonymous · Answer

Can I have a medal?

anonymous · Answer

sure! but how can i give it to you?