30x^2+118x+2=0

Solution for 30x^2+118x+2=0 equation:

30x^2+118x+2=0

a = 30; b = 118; c = +2;
Δ = b2-4ac
Δ = 1182-4·30·2
Δ = 13684
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:

$\sqrt{\Delta}=\sqrt{13684}=\sqrt{4*3421}=\sqrt{4}*\sqrt{3421}=2\sqrt{3421}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(118)-2\sqrt{3421}}{2*30}=\frac{-118-2\sqrt{3421}}{60}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(118)+2\sqrt{3421}}{2*30}=\frac{-118+2\sqrt{3421}}{60}
$