Question

Can someone please help me through this radical expressions problem?

Answer 1

(√5x) - x = 0
(√5x) - x + x = 0 + x
(√5x) = 0 + x
√5x)^2 = (0 + x)^2
5x = (0 + x)(0 + x)
5x = 0^2 + 0x + 0x + x^2
5x = x^2
5x/5 = x^2/5
x =

This was how far I was able to get, but I need help to finish it.

Answer 2

@campbell_st @mathstudent55

Answer 3

ok... just to check is

\[\sqrt{5x} - x = 0\]

Answer 4

and are you solving for x..?

Answer 5

Yes

Answer 6

I don't know how to go further than this.

Answer 7

well can't you add x to both sides

\[\sqrt{5x} = x\]

now square both sides

\[5x = x^2\]

then you can have

\[x^2 - 5x = 0\]

factor and

\[x(x - 5) = 0\]

so perhaps you can find the solutions from here.

Answer 8

OK, let me try it a moment.