y^2-7.07y+1=0

Solution for y^2-7.07y+1=0 equation:

y^2-7.07y+1=0

a = 1; b = -7.07; c = +1;
Δ = b2-4ac
Δ = -7.072-4·1·1
Δ = 45.9849
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7.07)-\sqrt{45.9849}}{2*1}=\frac{7.07-\sqrt{45.9849}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7.07)+\sqrt{45.9849}}{2*1}=\frac{7.07+\sqrt{45.9849}}{2}
$