3x2-5x+2=0,48

Solution for 3x2-5x+2=0,48 equation:

3x^2-5x+2=0.48

We move all terms to the left:

3x^2-5x+2-(0.48)=0

We add all the numbers together, and all the variables

3x^2-5x+1.52=0

a = 3; b = -5; c = +1.52;
Δ = b2-4ac
Δ = -52-4·3·1.52
Δ = 6.76
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{-(-5)-\sqrt{6.76}}{2*3}=\frac{5-\sqrt{6.76}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{6.76}}{2*3}=\frac{5+\sqrt{6.76}}{6}
$