$\exponential{(x + y)}{2} = 5 $
Solve for x
x=-y+\sqrt{5}
x=-\left(y+\sqrt{5}\right)
Solve for y
y=-x+\sqrt{5}
y=-\left(x+\sqrt{5}\right)
Graph
Share
Copied to clipboard
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}.
x=-y-\sqrt{5}
Subtract y from -\sqrt{5}.
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}.
y=-x-\sqrt{5}
Subtract x from -\sqrt{5}.
y=-x+\sqrt{5} y=-x-\sqrt{5}
The equation is now solved.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}