x^2-1.4x-29.76=0

Solution for x^2-1.4x-29.76=0 equation:

x^2-1.4x-29.76=0

a = 1; b = -1.4; c = -29.76;
Δ = b2-4ac
Δ = -1.42-4·1·(-29.76)
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1.4)-11}{2*1}=\frac{-9.6}{2}
=-4+1/1.25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.4)+11}{2*1}=\frac{12.4}{2}
=6+0.4/2
$