Solve for x p l e a s e

Question

asked Jul 15, 2024 193k views

1 Answer

Shroud · Answer 1 · 2024-07-19T17:05:28+0000

Answer:

x=y(m-2p)^2

Explanation:

Given equation:

$m=2p+\sqrt{(x)/(y)}$

To solve the equation for x, use algebraic operations to rearrange the equation to isolate x.

Subtract 2p from both sides of the equation:

$m-2p=2p+\sqrt{(x)/(y)}-2p$

$m-2p=\sqrt{(x)/(y)}$

Square both sides of the equation to eliminate the square root:

$(m-2p)^2=\left(\sqrt{(x)/(y)\right)^2$

(m-2p)^2=(x)/(y)

Finally, multiply both sides of the equation by y:

$(m-2p)^2\cdot y=(x)/(y)\cdot y$

y(m-2p)^2=x

Hence, the solution for x is:

$\Large\boxed{\boxed{x=y(m-2p)^2}}$