.37x^2+23.8x-1=0

Solution for .37x^2+23.8x-1=0 equation:

.37x^2+23.8x-1=0

a = .37; b = 23.8; c = -1;
Δ = b2-4ac
Δ = 23.82-4·.37·(-1)
Δ = 567.92
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(23.8)-\sqrt{567.92}}{2*.37}=\frac{-23.8-\sqrt{567.92}}{0.74}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23.8)+\sqrt{567.92}}{2*.37}=\frac{-23.8+\sqrt{567.92}}{0.74}
$