Posted by kim jung hee on Monday, September 2, 2013 at 3:24am.
If alpha and beta are the roots of the equation 2x^2+ 4x + 1 = , find the values of log2alpha + log2beta

maths  Graham, Monday, September 2, 2013 at 3:46am
If 2x²+4x+1 = 0
Then: x = (2±√2)/2
let α = (2+√2)/2
let β = (2√2)/2
log_2(α) + log_2(β)
= log_2(αβ)
= log_2((2+√2)(2√2)/4)
= log_2(1/2)
= 1