x2+35x+82=0

Solution for x2+35x+82=0 equation:

x2+35x+82=0

We add all the numbers together, and all the variables

x^2+35x+82=0

a = 1; b = 35; c = +82;
Δ = b2-4ac
Δ = 352-4·1·82
Δ = 897
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{-(35)-\sqrt{897}}{2*1}=\frac{-35-\sqrt{897}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+\sqrt{897}}{2*1}=\frac{-35+\sqrt{897}}{2}
$