4n^2-37n+9=0

Solution for 4n^2-37n+9=0 equation:

4n^2-37n+9=0

a = 4; b = -37; c = +9;
Δ = b2-4ac
Δ = -372-4·4·9
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-35}{2*4}=\frac{2}{8}
=1/4
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+35}{2*4}=\frac{72}{8}
=9
$