x^2+30x+35=0

Solution for x^2+30x+35=0 equation:

x^2+30x+35=0

a = 1; b = 30; c = +35;
Δ = b2-4ac
Δ = 302-4·1·35
Δ = 760
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{760}=\sqrt{4*190}=\sqrt{4}*\sqrt{190}=2\sqrt{190}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-2\sqrt{190}}{2*1}=\frac{-30-2\sqrt{190}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+2\sqrt{190}}{2*1}=\frac{-30+2\sqrt{190}}{2}
$