x+15x2=13

Solution for x+15x2=13 equation:

x+15x^2=13

We move all terms to the left:

x+15x^2-(13)=0

a = 15; b = 1; c = -13;
Δ = b2-4ac
Δ = 12-4·15·(-13)
Δ = 781
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{781}}{2*15}=\frac{-1-\sqrt{781}}{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{781}}{2*15}=\frac{-1+\sqrt{781}}{30}
$