4x^2+34x+37=0

Solution for 4x^2+34x+37=0 equation:

4x^2+34x+37=0

a = 4; b = 34; c = +37;
Δ = b2-4ac
Δ = 342-4·4·37
Δ = 564
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:

$\sqrt{\Delta}=\sqrt{564}=\sqrt{4*141}=\sqrt{4}*\sqrt{141}=2\sqrt{141}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(34)-2\sqrt{141}}{2*4}=\frac{-34-2\sqrt{141}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(34)+2\sqrt{141}}{2*4}=\frac{-34+2\sqrt{141}}{8}
$