Here is the problem and how I did it:
x-√x+=√x+ original equation
-√x – -√x –
x-√x-=
(√x+)(√x-)=
x-√x+√x- = x-√x-
√x+=
– –
√x=-
(√x)/=-/
√x=-/
(√x)^=(-/)^
x=/ <<
√x-=
+ +
√x=
(√x)^=^
x= <<
The works but / doesn’t. Why?
Answer
To solve radical problems you must isolate the radical part so when
you square both sides the radical disappears.
x-√x+=√x+
x – √x =
-√x = – x
√x = ( – x)/-………….square both sides
x =( – x + x^)/….multiply by
x = x^ – x +
x^ – x + = ….this is our equation after all radicals are gone
(x – )(x -) =
x – = and x – =
x = ……………….x =
x = /
y= is the x axis so I checked by graphing my two equations:
http://www.meta-calculator.com/online/