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

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


   

Question 1207759: Find the real solutions of the equation. Use a calculator to express any solutions rounded to two decimal places.

pi(1 + x)^2 = 2 + pi(1 + x)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
pi%281+%2B+x%29%5E2+=+2+%2B+pi%281+%2B+x%29

pi%281%2B2x%2Bx%5E2%29=+2%2Bpi%2Bpi%2Ax

pi+%2B2pi%2Ax%2Bpix%5E2=2%2Bpi%2Ax%2Bpi
pix%5E2%2Bpi%2Ax-2=0
Use formula method
a=pi ,b=pi ,c=-2

b^2-4ac = pi^2+8*pi

x+=%28+-pi%2B-sqrt%28pi%5E2%2B8pi%29%29%2F2pi


x+=%28+-pi%2B-pi+%2Asqrt%281%2B%288%2Fpi%29%29%29%2F2pi
cancel off the pi

x+=%28+-1%2B-sqrt%281%2B%288%2Fpi%29%29%29%2F2
find the value of x