1.6x^2-x-35=0

Solution for 1.6x^2-x-35=0 equation:

1.6x^2-x-35=0

We add all the numbers together, and all the variables

1.6x^2-1x-35=0

a = 1.6; b = -1; c = -35;
Δ = b2-4ac
Δ = -12-4·1.6·(-35)
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-15}{2*1.6}=\frac{-14}{3.2}
=-4+1/2.66666666667
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+15}{2*1.6}=\frac{16}{3.2}
=5
$