6x2-12,5x+6=0

Solution for 6x2-12,5x+6=0 equation:

6x^2-12.5x+6=0

a = 6; b = -12.5; c = +6;
Δ = b2-4ac
Δ = -12.52-4·6·6
Δ = 12.25
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{-(-12.5)-\sqrt{12.25}}{2*6}=\frac{12.5-\sqrt{12.25}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12.5)+\sqrt{12.25}}{2*6}=\frac{12.5+\sqrt{12.25}}{12}
$