Type a math problem
Solve for x

Steps by Finding Square Root
Take the square root of both sides of the equation.
Subtract from both sides of the equation.
Subtracting from itself leaves .
Subtract from .
Subtract from .
The equation is now solved.
Solve for y

Steps by Finding Square Root
Take the square root of both sides of the equation.
Subtract from both sides of the equation.
Subtracting from itself leaves .
Subtract from .
Subtract from .
The equation is now solved.
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x+y=\sqrt{5} x+y=-\sqrt{5}
Take the square root of both sides of the equation.
x+y-y=\sqrt{5}-y x+y-y=-\sqrt{5}-y
Subtract y from both sides of the equation.
x=\sqrt{5}-y x=-\sqrt{5}-y
Subtracting y from itself leaves 0.
x=-y+\sqrt{5}
Subtract y from \sqrt{5}\approx 2.236067977.
x=-y-\sqrt{5}
Subtract y from -\sqrt{5}\approx -2.236067977.
x=-y+\sqrt{5} x=-y-\sqrt{5}
The equation is now solved.
y+x=\sqrt{5} y+x=-\sqrt{5}
Take the square root of both sides of the equation.
y+x-x=\sqrt{5}-x y+x-x=-\sqrt{5}-x
Subtract x from both sides of the equation.
y=\sqrt{5}-x y=-\sqrt{5}-x
Subtracting x from itself leaves 0.
y=-x+\sqrt{5}
Subtract x from \sqrt{5}\approx 2.236067977.
y=-x-\sqrt{5}
Subtract x from -\sqrt{5}\approx -2.236067977.
y=-x+\sqrt{5} y=-x-\sqrt{5}
The equation is now solved.