Check if the statement is true (algebraic)

[Zems]

Homework Statement

I came across this problem in my textbook, i think the answer is wrong. I checked on wolfram alpha and got different results.

Homework Equations

x+y+√(x-y)=2+√6

The Attempt at a Solution

The solutions in the book are x=2 y=-2, however when I substituted it into the equation i get 2=2+√6
The answer i got on wolfram alpha is x=2.09974 and y=1.84974, can anyone help confirm that the solution is wrong?

 

[jedishrfu]

So you could solve it by writing two equations in x and y:

x + y = 2

And

x - y = 6

What do you get?

 

[Zems]

y=-2 and x=4, so the answer in the book is wrong. Thanks, ill have to sort this out with my lecturer.