(1/6)x=7776

Solution for (1/6)x=7776 equation:

(1/6)x=7776

We move all terms to the left:

(1/6)x-(7776)=0


Domain of the equation: 6)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+1/6)x-7776=0

We multiply parentheses

x^2-7776=0

a = 1; b = 0; c = -7776;
Δ = b2-4ac
Δ = 02-4·1·(-7776)
Δ = 31104
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:

$\sqrt{\Delta}=\sqrt{31104}=\sqrt{5184*6}=\sqrt{5184}*\sqrt{6}=72\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72\sqrt{6}}{2*1}=\frac{0-72\sqrt{6}}{2}
=-\frac{72\sqrt{6}}{2}
=-36\sqrt{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72\sqrt{6}}{2*1}=\frac{0+72\sqrt{6}}{2}
=\frac{72\sqrt{6}}{2}
=36\sqrt{6}
$