49x^2-8x-5000=0

Solution for 49x^2-8x-5000=0 equation:

49x^2-8x-5000=0

a = 49; b = -8; c = -5000;
Δ = b2-4ac
Δ = -82-4·49·(-5000)
Δ = 980064
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:

$\sqrt{\Delta}=\sqrt{980064}=\sqrt{144*6806}=\sqrt{144}*\sqrt{6806}=12\sqrt{6806}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-12\sqrt{6806}}{2*49}=\frac{8-12\sqrt{6806}}{98}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+12\sqrt{6806}}{2*49}=\frac{8+12\sqrt{6806}}{98}
$