SOLUTION: (1) sin πx/2 = x^2 -2x +2,,,, Find the value of "x" ?

Algebra ->  Trigonometry-basics -> SOLUTION: (1) sin πx/2 = x^2 -2x +2,,,, Find the value of "x" ?      Log On


   

Question 891651: (1) sin πx/2 = x^2 -2x +2,,,, Find the value of "x" ?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Csin%28pi%2Ax%2F2%29%2Cx%5E2-2x%2B2%29
.
.
.
graph%28300%2C300%2C-2%2C2%2C-2%2C2%2Csin%28pi%2Ax%2F2%29%2Cx%5E2-2x%2B2%29
.
.
.
Looks like there is a solution at x=1.
Verify.
sin%28pi%2F2%29=1
%281%29%5E2-2%281%29%2B2=1-2%2B2=1
Yes, (1,1) is an intersection point of the two curves.