4.78x^2-3.99x-1.41=0

Solution for 4.78x^2-3.99x-1.41=0 equation:

4.78x^2-3.99x-1.41=0

a = 4.78; b = -3.99; c = -1.41;
Δ = b2-4ac
Δ = -3.992-4·4.78·(-1.41)
Δ = 42.8793
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{-(-3.99)-\sqrt{42.8793}}{2*4.78}=\frac{3.99-\sqrt{42.8793}}{9.56}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3.99)+\sqrt{42.8793}}{2*4.78}=\frac{3.99+\sqrt{42.8793}}{9.56}
$