8.3x=5x^2

Solution for 8.3x=5x^2 equation:

8.3x=5x^2

We move all terms to the left:

8.3x-(5x^2)=0

determiningTheFunctionDomain
-5x^2+8.3x=0

a = -5; b = 8.3; c = 0;
Δ = b2-4ac
Δ = 8.32-4·(-5)·0
Δ = 68.89
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{-(8.3)-\sqrt{68.89}}{2*-5}=\frac{-8.3-\sqrt{68.89}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8.3)+\sqrt{68.89}}{2*-5}=\frac{-8.3+\sqrt{68.89}}{-10}
$