solve for, where u is a real number sqrt 9u - 10 = sqrt 5u + 16
I will assume all sqrt's are positive
(3 - sqrt5)*sqrtu = 26
sqrtu = 26/(3 - sqrt5)
Now square both sides.
u = 1158.34
To solve the given equation, we need to isolate the variable 'u' on one side of the equation. Let's go step by step:
Step 1: Square both sides of the equation to eliminate the square root symbols.
(sqrt 9u - 10)^2 = (sqrt 5u + 16)^2
This simplifies to:
9u - 10 = 5u + 16
Step 2: Combine like terms.
9u - 5u = 16 + 10
4u = 26
Step 3: Divide both sides of the equation by 4 to solve for 'u'.
u = 26/4
Simplifying further:
u = 13/2
Therefore, the solution to the equation is u = 13/2.