x2+35x+304=0

Solution for x2+35x+304=0 equation:

x2+35x+304=0

We add all the numbers together, and all the variables

x^2+35x+304=0

a = 1; b = 35; c = +304;
Δ = b2-4ac
Δ = 352-4·1·304
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(35)-3}{2*1}=\frac{-38}{2}
=-19
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+3}{2*1}=\frac{-32}{2}
=-16
$