5w^2=676

Solution for 5w^2=676 equation:

5w^2=676

We move all terms to the left:

5w^2-(676)=0

a = 5; b = 0; c = -676;
Δ = b2-4ac
Δ = 02-4·5·(-676)
Δ = 13520
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{13520}=\sqrt{2704*5}=\sqrt{2704}*\sqrt{5}=52\sqrt{5}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-52\sqrt{5}}{2*5}=\frac{0-52\sqrt{5}}{10}
=-\frac{52\sqrt{5}}{10}
=-\frac{26\sqrt{5}}{5}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+52\sqrt{5}}{2*5}=\frac{0+52\sqrt{5}}{10}
=\frac{52\sqrt{5}}{10}
=\frac{26\sqrt{5}}{5}
$