17w^2=10625

Solution for 17w^2=10625 equation:

17w^2=10625

We move all terms to the left:

17w^2-(10625)=0

a = 17; b = 0; c = -10625;
Δ = b2-4ac
Δ = 02-4·17·(-10625)
Δ = 722500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{722500}=850$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-850}{2*17}=\frac{-850}{34}
=-25
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+850}{2*17}=\frac{850}{34}
=25
$