P(x)=10x^2+1760-50000

Solution for P(x)=10x^2+1760-50000 equation:

(P)=10P^2+1760-50000

We move all terms to the left:

(P)-(10P^2+1760-50000)=0

We get rid of parentheses

-10P^2+P-1760+50000=0

We add all the numbers together, and all the variables

-10P^2+P+48240=0

a = -10; b = 1; c = +48240;
Δ = b2-4ac
Δ = 12-4·(-10)·48240
Δ = 1929601
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{1929601}}{2*-10}=\frac{-1-\sqrt{1929601}}{-20}
$
$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1929601}}{2*-10}=\frac{-1+\sqrt{1929601}}{-20}
$