2.6x+x^2=30

Solution for 2.6x+x^2=30 equation:

2.6x+x^2=30

We move all terms to the left:

2.6x+x^2-(30)=0

a = 1; b = 2.6; c = -30;
Δ = b2-4ac
Δ = 2.62-4·1·(-30)
Δ = 126.76
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{-(2.6)-\sqrt{126.76}}{2*1}=\frac{-2.6-\sqrt{126.76}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2.6)+\sqrt{126.76}}{2*1}=\frac{-2.6+\sqrt{126.76}}{2}
$