x2-28x+187=0

Solution for x2-28x+187=0 equation:

x2-28x+187=0

We add all the numbers together, and all the variables

x^2-28x+187=0

a = 1; b = -28; c = +187;
Δ = b2-4ac
Δ = -282-4·1·187
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-28)-6}{2*1}=\frac{22}{2}
=11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28)+6}{2*1}=\frac{34}{2}
=17
$