x^2-55x+736=0

Solution for x^2-55x+736=0 equation:

x^2-55x+736=0

a = 1; b = -55; c = +736;
Δ = b2-4ac
Δ = -552-4·1·736
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-55)-9}{2*1}=\frac{46}{2}
=23
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-55)+9}{2*1}=\frac{64}{2}
=32
$