Question

(a+b)^2=4ab/2 c^2
Solve for c

Answer 1

To solve for c, the equation (a+b)^2 = 4ab/2 c^2 is first simplified by expanding the left side and simplifying the right side. Upon further simplification, c is found by taking the square root of both sides resulting in c = √((1/2b) + 1 + (1/2a)).

Step-by-step explanation:

To solve for c in the equation (a+b)^2 = 4ab/2 c^2, we first simplify this equation.

Given that we ignore the typo/irrelevant parts, we rewrite the equation as:

1. Expand the left side: (a+b)^2 = a^2 + 2ab + b^2
2. Right side simplified: 4ab/2 = 2ab
3. So the simplified equation is a^2 + 2ab + b^2 = 2abc^2
4. Next, divide both sides by 2ab to isolate the c^2 term.
5. The simplified equation now becomes (a^2/2ab) + 1 + (b^2/2ab) = c^2
6. Upon further simplification, (1/2b) + 1 + (1/2a) = c^2
7. Finally, we take the square root of both sides to solve for c:
8. c = √((1/2b) + 1 + (1/2a))