7/w2=28

Solution for 7/w2=28 equation:

7/w2=28

We move all terms to the left:

7/w2-(28)=0


Domain of the equation: w2!=0

w^2!=0/

w^2!=√0

w!=0

w∈R


We multiply all the terms by the denominator


-28*w2+7=0

We add all the numbers together, and all the variables

-28w^2+7=0

a = -28; b = 0; c = +7;
Δ = b2-4ac
Δ = 02-4·(-28)·7
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28}{2*-28}=\frac{-28}{-56}
=1/2
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28}{2*-28}=\frac{28}{-56}
=-1/2
$