-10x^2+1700x-47000=0

Solution for -10x^2+1700x-47000=0 equation:

-10x^2+1700x-47000=0

a = -10; b = 1700; c = -47000;
Δ = b2-4ac
Δ = 17002-4·(-10)·(-47000)
Δ = 1010000
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:

$\sqrt{\Delta}=\sqrt{1010000}=\sqrt{10000*101}=\sqrt{10000}*\sqrt{101}=100\sqrt{101}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1700)-100\sqrt{101}}{2*-10}=\frac{-1700-100\sqrt{101}}{-20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1700)+100\sqrt{101}}{2*-10}=\frac{-1700+100\sqrt{101}}{-20}
$