X(92-x)=47,6

Solution for X(92-x)=47,6 equation:

X(92-X)=47.6

We move all terms to the left:

X(92-X)-(47.6)=0

We add all the numbers together, and all the variables

X(-1X+92)-(47.6)=0

We add all the numbers together, and all the variables

X(-1X+92)-47.6=0

We multiply parentheses

-1X^2+92X-47.6=0

a = -1; b = 92; c = -47.6;
Δ = b2-4ac
Δ = 922-4·(-1)·(-47.6)
Δ = 8273.6
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(92)-\sqrt{8273.6}}{2*-1}=\frac{-92-\sqrt{8273.6}}{-2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(92)+\sqrt{8273.6}}{2*-1}=\frac{-92+\sqrt{8273.6}}{-2}
$