Question

sqrt{x-1}-5/\sqrt{x-1}=0

Answer 1

\[\sqrt{x-1}-5/\sqrt{x-1}=0\]

Answer 2

Did you mean \(\huge\color{darkblue}{\sqrt{x-1}-\frac{5}{\sqrt{x-1}}=0?}\)

Answer 3

yeessss !

Answer 4

Okay, awesome!

Answer 5

i will give you a medal !

Answer 6

Solve for x over the real numbers:
\[\large \sqrt{x-1}-\frac{5}{\sqrt{x-1}} = 0\]Isolate sqrt(x-1) to the left hand side in order to cross multiply.
Add \(\large \frac{5}{\sqrt{x-1}}\) to both sides:
\[\large \sqrt{x-1} = \frac{5}{\sqrt{x-1}}\]Multiply both sides by an expression to clear fractions.
Cross multiply:
\[\large x-1 = 5\]Solve for x.
Add 1 to both sides
Which leaves you with..?

Answer 7

how do the \[\sqrt{x-1}\] 's cancel out ?

Answer 8

Because if \(\sqrt{x-1}-\frac{5}{\sqrt{x-1}}=0\), then \(\sqrt{x-1}-\sqrt{x-1}=0\) or \(\sqrt{x-1}=\frac{5}{\sqrt{x-1}}\)

Answer 9

but if you cross multiply you would times