Solve for y.
x=(y-5)^2
Take the square root of both sides of the equation. You will end up with y - 5 on one side.
x^(1/2) = y - 5
That add 5 to both sides for an equation for y.
How many 2 liter mountain dew bottles would it take to fill up the earth if the radius is 6378.1?
To solve for y in the given equation x = (y - 5)^2, we'll need to follow several steps:
Step 1: Expand the equation
Start by expanding the square on the right-hand side of the equation. This can be done by multiplying (y - 5) with itself using the distributive property.
x = (y - 5)(y - 5)
x = (y^2 - 10y + 25)
Step 2: Rearrange the equation
Now that the equation is expanded, we can reorganize it to have all terms on one side and the constant term on the other side.
y^2 - 10y + 25 - x = 0
Step 3: Solve the quadratic equation
The equation obtained in the previous step is a quadratic equation. To solve it, we can use different methods such as factoring, completing the square, or using the quadratic formula.
In this case, the equation can be factored as a perfect square:
(y - 5)^2 - x = 0
(y - 5 + √x)(y - 5 - √x) = 0
Setting each factor equal to zero gives two possible solutions:
y - 5 + √x = 0 and y - 5 - √x = 0
Solving each equation separately:
y - 5 + √x = 0
y = 5 - √x
and
y - 5 - √x = 0
y = 5 + √x
Therefore, the solutions for y are:
y = 5 - √x
y = 5 + √x