SOLUTION: Find the real solutions of the given equation. Use a calculator to express solutions rounded to two decimal places. pi(1 + r)^2 = 2 + pi(1 + r)

Algebra ->  Equations -> SOLUTION: Find the real solutions of the given equation. Use a calculator to express solutions rounded to two decimal places. pi(1 + r)^2 = 2 + pi(1 + r)       Log On


   



Question 1208850: Find the real solutions of the given equation. Use a calculator to express solutions rounded to two decimal places.

pi(1 + r)^2 = 2 + pi(1 + r)


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Doing the algebra steps should give pi%2Ar%5E2%2Bpi%2Ar-2=0.

Using quadratic formula solution and taking the positive number will give
r=%28-pi%2Bsqrt%28pi%5E2%2B8pi%29%29%2F%282pi%29

Calculator will then give your result for r.
Use whatever approximation for pi that you want or need.

%28-3.14159%2Bsqrt%283.14159%5E2%2B8%2A3.14159%29%29%2F%282%2A3.14159%29

0.442