x^2-700x-98000=0

Solution for x^2-700x-98000=0 equation:

x^2-700x-98000=0

a = 1; b = -700; c = -98000;
Δ = b2-4ac
Δ = -7002-4·1·(-98000)
Δ = 882000
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:

$\sqrt{\Delta}=\sqrt{882000}=\sqrt{176400*5}=\sqrt{176400}*\sqrt{5}=420\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-700)-420\sqrt{5}}{2*1}=\frac{700-420\sqrt{5}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-700)+420\sqrt{5}}{2*1}=\frac{700+420\sqrt{5}}{2}
$