34e=70/2e

Solution for 34e=70/2e equation:

34e=70/2e

We move all terms to the left:

34e-(70/2e)=0


Domain of the equation: 2e)!=0

e!=0/1

e!=0

e∈R


We add all the numbers together, and all the variables

34e-(+70/2e)=0

We get rid of parentheses

34e-70/2e=0

We multiply all the terms by the denominator


34e*2e-70=0

Wy multiply elements

68e^2-70=0

a = 68; b = 0; c = -70;
Δ = b2-4ac
Δ = 02-4·68·(-70)
Δ = 19040
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{19040}=\sqrt{16*1190}=\sqrt{16}*\sqrt{1190}=4\sqrt{1190}$
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{1190}}{2*68}=\frac{0-4\sqrt{1190}}{136}
=-\frac{4\sqrt{1190}}{136}
=-\frac{\sqrt{1190}}{34}
$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{1190}}{2*68}=\frac{0+4\sqrt{1190}}{136}
=\frac{4\sqrt{1190}}{136}
=\frac{\sqrt{1190}}{34}
$