x^2+9=29x

Solution for x^2+9=29x equation:

x^2+9=29x

We move all terms to the left:

x^2+9-(29x)=0

a = 1; b = -29; c = +9;
Δ = b2-4ac
Δ = -292-4·1·9
Δ = 805
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{-(-29)-\sqrt{805}}{2*1}=\frac{29-\sqrt{805}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29)+\sqrt{805}}{2*1}=\frac{29+\sqrt{805}}{2}
$