X+-1/7x=48

Solution for X+-1/7x=48 equation:

X+-1/7X=48

We move all terms to the left:

X+-1/7X-(48)=0


Domain of the equation: 7X!=0

X!=0/7

X!=0

X∈R


determiningTheFunctionDomain
X-1/7X-48+=0

We add all the numbers together, and all the variables

X-1/7X=0

We multiply all the terms by the denominator


X*7X-1=0

Wy multiply elements

7X^2-1=0

a = 7; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·7·(-1)
Δ = 28
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:

$\sqrt{\Delta}=\sqrt{28}=\sqrt{4*7}=\sqrt{4}*\sqrt{7}=2\sqrt{7}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{7}}{2*7}=\frac{0-2\sqrt{7}}{14}
=-\frac{2\sqrt{7}}{14}
=-\frac{\sqrt{7}}{7}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{7}}{2*7}=\frac{0+2\sqrt{7}}{14}
=\frac{2\sqrt{7}}{14}
=\frac{\sqrt{7}}{7}
$