SOLUTION: I NEED HELP....I have tried everything and am STUCK on this one.. f(x)=xsquared - x + 5/4

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: I NEED HELP....I have tried everything and am STUCK on this one.. f(x)=xsquared - x + 5/4      Log On


   

Question 44637: I NEED HELP....I have tried everything and am STUCK on this one..
f(x)=xsquared - x + 5/4
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+x%5E2+-+x+%2B+5%2F4
y+=+x%5E2+-+x+%2B+1%2F4+%2B+4%2F4
y+=+%28x+-+1%2F2%29%5E2+%2B+1
let z = x - 1/2
y+=+z%5E2+%2B+1
to find roots use
z+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
b = 0
a = 1
c = 1
z+=++%280+%2B-+sqrt%280+-+4%2A1%2A1%29%29%2F+%282%2A1%29
z+=+-i
z+=+%2Bi
z = x - 1/2
x+-+1%2F2+=+-i
x+-+1%2F2+=+%2Bi
x+=+1%2F2+-+i answer
x+=+1%2F2+%2B+i answer
roots are both imaginary
check by substitution in original equation