5000x^2-15x-16=0

Solution for 5000x^2-15x-16=0 equation:

5000x^2-15x-16=0

a = 5000; b = -15; c = -16;
Δ = b2-4ac
Δ = -152-4·5000·(-16)
Δ = 320225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{320225}=\sqrt{25*12809}=\sqrt{25}*\sqrt{12809}=5\sqrt{12809}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-5\sqrt{12809}}{2*5000}=\frac{15-5\sqrt{12809}}{10000}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+5\sqrt{12809}}{2*5000}=\frac{15+5\sqrt{12809}}{10000}
$