SOLUTION: Explain how to solve X=(y+2)2

Question 1023131: Explain how to solve X=(y+2)2
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
i presume you mean exponentiation, which is modeled using the exponentiation symbol of ^.

based on that, x = (y+2)2 would be modeled as x = (y+2)^2.

assuming that's what you meant, then you would take the square root of both sides of the equation to get plus or minus sqrt(x) = y+2.

you would then subtract 2 from both sides of the equation to get plus or minus sqrt(x) - 2 = y.

this can also be shown as y = - 2 plus or minus sqrt(x).

to confirm that this is the equivalent of the original equation, then do the following:

start with y = -2 plus or minus sqrt(x).

add 2 to both sides of this equation to get y + 2 = plus or minus sqrt(xj).

square both sides of this equation to get (y+2)^2 = (sqrt(x))^2 or (-sqrt(x))^2.

in either case, you get (y+2)^2 = x.

when you deal with square roots, the following rules apply.

if the problem states that y^2 = 4, then the solution is y = plus or minus 2.

is the problem states that y = sqrt(4), then the solution is y = 2, not plus or minus 2.

it's a subtle difference that can be difficult to understand.

here's a reference that discusses it.

https://www.mathsisfun.com/algebra/square-root.html

RELATED QUESTIONS
Solve 2x^2-y^2=1 x+y=12 Please explain how to solve this in any... (answered by mananth)

how to solve... (answered by Alan3354)

explain to me how you solve x+3/2=15 (answered by checkley71)

Explain how to solve... (answered by ewatrrr)

x + y = 2 and y = - x 1/4^2 + 3 Explain how to solve algebraically, and Solve the... (answered by rfer)

In two or more sentences, explain how to solve the system of equations algebraically.... (answered by ikleyn)

could you explain how to solve x^2 + 3x + 2 �.....�....�..... x + 2 (answered by MathLover1)

how to solve the x- and y- and asymptotes of these rational functions?... (answered by josgarithmetic)

Please help me solve and explain to me how to solve this equation: 8^2 + x^2 =... (answered by scott8148)