w^2=9/49

Solution for w^2=9/49 equation:

w^2=9/49

We move all terms to the left:

w^2-(9/49)=0

We add all the numbers together, and all the variables

w^2-(+9/49)=0

We get rid of parentheses

w^2-9/49=0

We multiply all the terms by the denominator


w^2*49-9=0

Wy multiply elements

49w^2-9=0

a = 49; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·49·(-9)
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-42}{2*49}=\frac{-42}{98}
=-3/7
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+42}{2*49}=\frac{42}{98}
=3/7
$