-16x^2+1700=1000

Solution for -16x^2+1700=1000 equation:

-16x^2+1700=1000

We move all terms to the left:

-16x^2+1700-(1000)=0

We add all the numbers together, and all the variables

-16x^2+700=0

a = -16; b = 0; c = +700;
Δ = b2-4ac
Δ = 02-4·(-16)·700
Δ = 44800
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:

$\sqrt{\Delta}=\sqrt{44800}=\sqrt{6400*7}=\sqrt{6400}*\sqrt{7}=80\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-80\sqrt{7}}{2*-16}=\frac{0-80\sqrt{7}}{-32}
=-\frac{80\sqrt{7}}{-32}
=-\frac{5\sqrt{7}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+80\sqrt{7}}{2*-16}=\frac{0+80\sqrt{7}}{-32}
=\frac{80\sqrt{7}}{-32}
=\frac{5\sqrt{7}}{-2}
$