8x=3-5*(-1/17)

Solution for 8x=3-5*(-1/17) equation:

8x=3-5(-1/17)

We move all terms to the left:

8x-(3-5(-1/17))=0

We multiply all the terms by the denominator


8x*17))-(3-5(-1=0

Wy multiply elements

136x^2-1=0

a = 136; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·136·(-1)
Δ = 544
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:

$\sqrt{\Delta}=\sqrt{544}=\sqrt{16*34}=\sqrt{16}*\sqrt{34}=4\sqrt{34}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{34}}{2*136}=\frac{0-4\sqrt{34}}{272}
=-\frac{4\sqrt{34}}{272}
=-\frac{\sqrt{34}}{68}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{34}}{2*136}=\frac{0+4\sqrt{34}}{272}
=\frac{4\sqrt{34}}{272}
=\frac{\sqrt{34}}{68}
$