3.2x^2-4.4x-1.5=0

Solution for 3.2x^2-4.4x-1.5=0 equation:

3.2x^2-4.4x-1.5=0

a = 3.2; b = -4.4; c = -1.5;
Δ = b2-4ac
Δ = -4.42-4·3.2·(-1.5)
Δ = 38.56
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{-(-4.4)-\sqrt{38.56}}{2*3.2}=\frac{4.4-\sqrt{38.56}}{6.4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4.4)+\sqrt{38.56}}{2*3.2}=\frac{4.4+\sqrt{38.56}}{6.4}
$