4-55x-14x^2=0

Solution for 4-55x-14x^2=0 equation:

4-55x-14x^2=0

a = -14; b = -55; c = +4;
Δ = b2-4ac
Δ = -552-4·(-14)·4
Δ = 3249
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3249}=57$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-55)-57}{2*-14}=\frac{-2}{-28}
=1/14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-55)+57}{2*-14}=\frac{112}{-28}
=-4
$