x^2-11.5x+25.5=0

Solution for x^2-11.5x+25.5=0 equation:

x^2-11.5x+25.5=0

a = 1; b = -11.5; c = +25.5;
Δ = b2-4ac
Δ = -11.52-4·1·25.5
Δ = 30.25
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{-(-11.5)-\sqrt{30.25}}{2*1}=\frac{11.5-\sqrt{30.25}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11.5)+\sqrt{30.25}}{2*1}=\frac{11.5+\sqrt{30.25}}{2}
$