Solve (x+y)^2=5 | Microsoft Math Solver

Type a math problem

Solve for x

x = - y + 5

x = - (y + 5)

Steps by Finding Square Root

(x + y)^{2} = 5

Take the square root of both sides of the equation.

x + y = 5

x + y = - 5

Subtract

y

from both sides of the equation.

x + y - y = 5 - y

x + y - y = - 5 - y

Subtracting

y

from itself leaves

0

x = 5 - y

x = - 5 - y

Subtract

y

from

5 \approx 2.236067977

x = - y + 5

Subtract

y

from

- 5 \approx - 2.236067977

x = - y - 5

The equation is now solved.

x = - y + 5

x = - y - 5

Solve for y

y = - x + 5

y = - (x + 5)

Steps by Finding Square Root

(x + y)^{2} = 5

Take the square root of both sides of the equation.

y + x = 5

y + x = - 5

Subtract

x

from both sides of the equation.

y + x - x = 5 - x

y + x - x = - 5 - x

Subtracting

x

from itself leaves

0

y = 5 - x

y = - 5 - x

Subtract

x

from

5 \approx 2.236067977

y = - x + 5

Subtract

x

from

- 5 \approx - 2.236067977

y = - x - 5

The equation is now solved.

y = - x + 5

y = - x - 5

Graph

Quiz

Algebra

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(x + y)^{2} = 5

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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.

Examples

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x^{2} - 4 x - 5 = 0

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4 sin θ cos θ = 2 sin θ

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699 * 533

Matrix

[2534] [2 - 1 0135]

Simultaneous equation

{8 x + 2 y = 46 7 x + 3 y = 47

Differentiation

\frac{d}{d x} \frac{( 3 x ^{2} - 2 )}{( x - 5 )}

Integration

\int_{0}^{1} x e^{- x^{2}} d x

Limits

x \to - 3 lim \frac{x ^{2} - 9}{x ^{2} + 2 x - 3}

Topics

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