7w^2=1183

Solution for 7w^2=1183 equation:

7w^2=1183

We move all terms to the left:

7w^2-(1183)=0

a = 7; b = 0; c = -1183;
Δ = b2-4ac
Δ = 02-4·7·(-1183)
Δ = 33124
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{33124}=182$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-182}{2*7}=\frac{-182}{14}
=-13
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+182}{2*7}=\frac{182}{14}
=13
$