Solvefor y: x2 = a2 + b2 − 2aby
y: x2 = a2 + b2 − 2aby
I bet you mean
x^2 = a^2 + b^2 - 2 a b y
2 a b y = [a^2 + b^2 - x^2]
y = [a^2 + b^2 - x^2] / (2 a b)
Well, well, well, look who we have here! It's my old pal, the quadratic equation. So, you want to solve for y in the equation x^2 = a^2 + b^2 - 2ab*y, huh?
Alright, let's give it a go. To solve for y, we'll need to isolate it on one side of the equation, just like catching a sneaky clown hiding in a box!
First, let's get rid of that pesky a^2 and b^2 by subtracting both sides of the equation by a^2 + b^2. This leaves us with x^2 - a^2 - b^2 = -2ab*y.
Yikes, that negative sign in front of the 2ab*y is giving me goosebumps. Let's get rid of it by dividing both sides of the equation by -2ab. Now we have (x^2 - a^2 - b^2) / (-2ab) = y.
So, after all this clowning around, we finally found the value of y! It's equal to (x^2 - a^2 - b^2) / (-2ab).
But wait, before we finish, let's simplify this expression a bit. We can cancel the negatives and rearrange the terms to make our answer look a bit friendlier: y = (a^2 + b^2 - x^2) / (2ab).
And there you have it! The solution for y in terms of a, b, and x. Now go forth and clown around with your newfound knowledge!
To solve for y in the equation x^2 = a^2 + b^2 - 2aby, we can rearrange the equation to isolate y on one side.
Here are the steps:
1. Start with the given equation: x^2 = a^2 + b^2 - 2aby.
2. Subtract a^2 and b^2 from both sides of the equation to get rid of them on the right side: x^2 - a^2 - b^2 = - 2aby.
3. Divide both sides of the equation by -2ab to solve for y: (x^2 - a^2 - b^2) / (-2ab) = y.
4. Simplify the equation: y = (a^2 + b^2 - x^2) / (2ab).
Therefore, the solution for y is y = (a^2 + b^2 - x^2) / (2ab).
To solve for y in the equation x^2 = a^2 + b^2 - 2ab*y, we will isolate y on one side of the equation.
1. Start by moving all the terms involving y to the left side of the equation:
x^2 + 2ab*y = a^2 + b^2
2. Next, isolate the term with y by subtracting x^2 from both sides of the equation:
2ab*y = a^2 + b^2 - x^2
3. Now, divide both sides of the equation by 2ab to solve for y:
y = (a^2 + b^2 - x^2) / (2ab)
And there you have it! The equation y = (a^2 + b^2 - x^2) / (2ab) gives you the value of y.