(17/3)x=34

Solution for (17/3)x=34 equation:

(17/3)x=34

We move all terms to the left:

(17/3)x-(34)=0


Domain of the equation: 3)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+17/3)x-34=0

We multiply parentheses

17x^2-34=0

a = 17; b = 0; c = -34;
Δ = b2-4ac
Δ = 02-4·17·(-34)
Δ = 2312
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:

$\sqrt{\Delta}=\sqrt{2312}=\sqrt{1156*2}=\sqrt{1156}*\sqrt{2}=34\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-34\sqrt{2}}{2*17}=\frac{0-34\sqrt{2}}{34}
=-\frac{34\sqrt{2}}{34}
=-\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+34\sqrt{2}}{2*17}=\frac{0+34\sqrt{2}}{34}
=\frac{34\sqrt{2}}{34}
=\sqrt{2}
$