w-2/w=7/w

Solution for w-2/w=7/w equation:

w-2/w=7/w

We move all terms to the left:

w-2/w-(7/w)=0


Domain of the equation: w!=0

w∈R



Domain of the equation: w)!=0

w!=0/1

w!=0

w∈R


We add all the numbers together, and all the variables

w-2/w-(+7/w)=0

We get rid of parentheses

w-2/w-7/w=0

We multiply all the terms by the denominator


w*w-2-7=0

We add all the numbers together, and all the variables

w*w-9=0

Wy multiply elements

w^2-9=0

a = 1; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·1·(-9)
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6}{2*1}=\frac{-6}{2}
=-3
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6}{2*1}=\frac{6}{2}
=3
$