(x^2)-9x=3

Solution for (x^2)-9x=3 equation:

(x^2)-9x=3

We move all terms to the left:

(x^2)-9x-(3)=0

a = 1; b = -9; c = -3;
Δ = b2-4ac
Δ = -92-4·1·(-3)
Δ = 93
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{-(-9)-\sqrt{93}}{2*1}=\frac{9-\sqrt{93}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{93}}{2*1}=\frac{9+\sqrt{93}}{2}
$