3*(x^2)-x+2=6,45

Solution for 3*(x^2)-x+2=6,45 equation:

3(x^2)-x+2=6.45

We move all terms to the left:

3(x^2)-x+2-(6.45)=0

We add all the numbers together, and all the variables

3x^2-1x-4.45=0

a = 3; b = -1; c = -4.45;
Δ = b2-4ac
Δ = -12-4·3·(-4.45)
Δ = 54.4
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{-(-1)-\sqrt{54.4}}{2*3}=\frac{1-\sqrt{54.4}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{54.4}}{2*3}=\frac{1+\sqrt{54.4}}{6}
$