x^2-155x+1400=0

Solution for x^2-155x+1400=0 equation:

x^2-155x+1400=0

a = 1; b = -155; c = +1400;
Δ = b2-4ac
Δ = -1552-4·1·1400
Δ = 18425
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{18425}=\sqrt{25*737}=\sqrt{25}*\sqrt{737}=5\sqrt{737}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-155)-5\sqrt{737}}{2*1}=\frac{155-5\sqrt{737}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-155)+5\sqrt{737}}{2*1}=\frac{155+5\sqrt{737}}{2}
$