11w2-621=9205-23w2

Solution for 11w2-621=9205-23w2 equation:

11w^2-621=9205-23w^2

We move all terms to the left:

11w^2-621-(9205-23w^2)=0

We get rid of parentheses

11w^2+23w^2-9205-621=0

We add all the numbers together, and all the variables

34w^2-9826=0

a = 34; b = 0; c = -9826;
Δ = b2-4ac
Δ = 02-4·34·(-9826)
Δ = 1336336
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1336336}=1156$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1156}{2*34}=\frac{-1156}{68}
=-17
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1156}{2*34}=\frac{1156}{68}
=17
$