x^2-12.7x+1=0

Solution for x^2-12.7x+1=0 equation:

x^2-12.7x+1=0

a = 1; b = -12.7; c = +1;
Δ = b2-4ac
Δ = -12.72-4·1·1
Δ = 157.29
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{-(-12.7)-\sqrt{157.29}}{2*1}=\frac{12.7-\sqrt{157.29}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12.7)+\sqrt{157.29}}{2*1}=\frac{12.7+\sqrt{157.29}}{2}
$