-4.15x^2+30x-14=0

Solution for -4.15x^2+30x-14=0 equation:

-4.15x^2+30x-14=0

a = -4.15; b = 30; c = -14;
Δ = b2-4ac
Δ = 302-4·(-4.15)·(-14)
Δ = 667.6
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{-(30)-\sqrt{667.6}}{2*-4.15}=\frac{-30-\sqrt{667.6}}{-8.3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+\sqrt{667.6}}{2*-4.15}=\frac{-30+\sqrt{667.6}}{-8.3}
$