4x2+18x+4=0

Solution for 4x2+18x+4=0 equation:

4x^2+18x+4=0

a = 4; b = 18; c = +4;
Δ = b2-4ac
Δ = 182-4·4·4
Δ = 260
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:

$\sqrt{\Delta}=\sqrt{260}=\sqrt{4*65}=\sqrt{4}*\sqrt{65}=2\sqrt{65}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-2\sqrt{65}}{2*4}=\frac{-18-2\sqrt{65}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+2\sqrt{65}}{2*4}=\frac{-18+2\sqrt{65}}{8}
$