(17/8)x=30

Solution for (17/8)x=30 equation:

(17/8)x=30

We move all terms to the left:

(17/8)x-(30)=0


Domain of the equation: 8)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+17/8)x-30=0

We multiply parentheses

17x^2-30=0

a = 17; b = 0; c = -30;
Δ = b2-4ac
Δ = 02-4·17·(-30)
Δ = 2040
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:

$\sqrt{\Delta}=\sqrt{2040}=\sqrt{4*510}=\sqrt{4}*\sqrt{510}=2\sqrt{510}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{510}}{2*17}=\frac{0-2\sqrt{510}}{34}
=-\frac{2\sqrt{510}}{34}
=-\frac{\sqrt{510}}{17}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{510}}{2*17}=\frac{0+2\sqrt{510}}{34}
=\frac{2\sqrt{510}}{34}
=\frac{\sqrt{510}}{17}
$