Solve for x:
x+90+1/x = 180
Bring x+90+1/x together using the common denominator x:
(x^2+90 x+1)/x = 180
Multiply both sides by x:
x^2+90 x+1 = 180 x
Subtract 180 x from both sides:
x^2-90 x+1 = 0
Subtract 1 from both sides:
x^2-90 x = -1
Add 2025 to both sides:
x^2-90 x+2025 = 2024
Write the left hand side as a square:
(x-45)^2 = 2024
Take the square root of both sides:
x-45 = 2 sqrt(506) or x-45 = -2 sqrt(506)
Add 45 to both sides:
x = 45+2 sqrt(506) or x-45 = -2 sqrt(506)
Add 45 to both sides:
Answer: | x = 45+2 sqrt(506)=89.989 or x = 45-2 sqrt(506)=.01111
