(53/9)x=168

Solution for (53/9)x=168 equation:

(53/9)x=168

We move all terms to the left:

(53/9)x-(168)=0


Domain of the equation: 9)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+53/9)x-168=0

We multiply parentheses

53x^2-168=0

a = 53; b = 0; c = -168;
Δ = b2-4ac
Δ = 02-4·53·(-168)
Δ = 35616
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:

$\sqrt{\Delta}=\sqrt{35616}=\sqrt{16*2226}=\sqrt{16}*\sqrt{2226}=4\sqrt{2226}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{2226}}{2*53}=\frac{0-4\sqrt{2226}}{106}
=-\frac{4\sqrt{2226}}{106}
=-\frac{2\sqrt{2226}}{53}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{2226}}{2*53}=\frac{0+4\sqrt{2226}}{106}
=\frac{4\sqrt{2226}}{106}
=\frac{2\sqrt{2226}}{53}
$