Math Is Fun Forum

Hello! I'm here again. Please teach me how to solve equation like this one:
    sqrt(2x+3)-sqrt(x-2)=sqrt(x+1)                          * Note: sqrt- Square root of

What makes it hard for me to solve the above equation is that it has 3 terms with radical expression.
If it only has one or two radical expression I could easily eliminate the radicals from the equation after isolating it
then go on with solving the equation that arise.
But suppose I have more than 2 terms having radical expression(like on my given problem), how could I eliminate the radicals?

Thank you in advance!:)

Hello everyone! Please help me to continue solving this equation:
-7((1/x)-1)=4+2((1/x)-1)^2

Here's what I did:

I let w= (1/x)-1

So I have:

-7w=4+2w^2
2w^2+7w+4=0

Then I  factored it using quadratic equation so I've got:

w= (-7±√17)/4   *Note: √17 is square root of 17.

Since w= (1/x)-1

(1/x)-1= (-7+√17)/4  and (1/x)-1= (-7-√17)/4

I find it hard  to evaluate the value of x from the 2 equations I've got. Maybe I've done something wrong in simplifying these 2 or much worse,my entire solution is wrong.So please help me find the way out. I'm also looking for other way to solve it. If someone out there know it, kindly  share it to me. I would be very grateful for someone who'd help. I'd be waiting for replies then! Have a nice day!:D