X2-5x+5=0

Solution for X2-5x+5=0 equation:

X2-5X+5=0

We add all the numbers together, and all the variables

X^2-5X+5=0

a = 1; b = -5; c = +5;
Δ = b2-4ac
Δ = -52-4·1·5
Δ = 5
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-\sqrt{5}}{2*1}=\frac{5-\sqrt{5}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{5}}{2*1}=\frac{5+\sqrt{5}}{2}
$