3x^2+8=563x

Solution for 3x^2+8=563x equation:

3x^2+8=563x

We move all terms to the left:

3x^2+8-(563x)=0

a = 3; b = -563; c = +8;
Δ = b2-4ac
Δ = -5632-4·3·8
Δ = 316873
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{-(-563)-\sqrt{316873}}{2*3}=\frac{563-\sqrt{316873}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-563)+\sqrt{316873}}{2*3}=\frac{563+\sqrt{316873}}{6}
$