(1/4)e-14=8

Solution for (1/4)e-14=8 equation:

(1/4)e-14=8

We move all terms to the left:

(1/4)e-14-(8)=0


Domain of the equation: 4)e!=0

e!=0/1

e!=0

e∈R


We add all the numbers together, and all the variables

(+1/4)e-14-8=0

We add all the numbers together, and all the variables

(+1/4)e-22=0

We multiply parentheses

e^2-22=0

a = 1; b = 0; c = -22;
Δ = b2-4ac
Δ = 02-4·1·(-22)
Δ = 88
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:

$\sqrt{\Delta}=\sqrt{88}=\sqrt{4*22}=\sqrt{4}*\sqrt{22}=2\sqrt{22}$
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{22}}{2*1}=\frac{0-2\sqrt{22}}{2}
=-\frac{2\sqrt{22}}{2}
=-\sqrt{22}
$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{22}}{2*1}=\frac{0+2\sqrt{22}}{2}
=\frac{2\sqrt{22}}{2}
=\sqrt{22}
$