X(6-x)=5.29

Solution for X(6-x)=5.29 equation:

X(6-X)=5.29

We move all terms to the left:

X(6-X)-(5.29)=0

We add all the numbers together, and all the variables

X(-1X+6)-(5.29)=0

We add all the numbers together, and all the variables

X(-1X+6)-5.29=0

We multiply parentheses

-1X^2+6X-5.29=0

a = -1; b = 6; c = -5.29;
Δ = b2-4ac
Δ = 62-4·(-1)·(-5.29)
Δ = 14.84
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{-(6)-\sqrt{14.84}}{2*-1}=\frac{-6-\sqrt{14.84}}{-2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+\sqrt{14.84}}{2*-1}=\frac{-6+\sqrt{14.84}}{-2}
$