0.0065x^2+0.75x-100=0

Solution for 0.0065x^2+0.75x-100=0 equation:

0.0065x^2+0.75x-100=0

a = 0.0065; b = 0.75; c = -100;
Δ = b2-4ac
Δ = 0.752-4·0.0065·(-100)
Δ = 3.1625
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{-(0.75)-\sqrt{3.1625}}{2*0.0065}=\frac{-0.75-\sqrt{3.1625}}{0.013}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.75)+\sqrt{3.1625}}{2*0.0065}=\frac{-0.75+\sqrt{3.1625}}{0.013}
$