64y^2-66y+2=0

Solution for 64y^2-66y+2=0 equation:

64y^2-66y+2=0

a = 64; b = -66; c = +2;
Δ = b2-4ac
Δ = -662-4·64·2
Δ = 3844
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3844}=62$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-66)-62}{2*64}=\frac{4}{128}
=1/32
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-66)+62}{2*64}=\frac{128}{128}
=1
$