X-2/9x=56

Solution for X-2/9x=56 equation:

X-2/9X=56

We move all terms to the left:

X-2/9X-(56)=0


Domain of the equation: 9X!=0

X!=0/9

X!=0

X∈R


We multiply all the terms by the denominator


X*9X-56*9X-2=0

Wy multiply elements

9X^2-504X-2=0

a = 9; b = -504; c = -2;
Δ = b2-4ac
Δ = -5042-4·9·(-2)
Δ = 254088
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:

$\sqrt{\Delta}=\sqrt{254088}=\sqrt{36*7058}=\sqrt{36}*\sqrt{7058}=6\sqrt{7058}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-504)-6\sqrt{7058}}{2*9}=\frac{504-6\sqrt{7058}}{18}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-504)+6\sqrt{7058}}{2*9}=\frac{504+6\sqrt{7058}}{18}
$