7p^2-800p+10000=0

Solution for 7p^2-800p+10000=0 equation:

7p^2-800p+10000=0

a = 7; b = -800; c = +10000;
Δ = b2-4ac
Δ = -8002-4·7·10000
Δ = 360000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{360000}=600$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-800)-600}{2*7}=\frac{200}{14}
=14+2/7
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-800)+600}{2*7}=\frac{1400}{14}
=100
$