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9w*5*4w=36
We move all terms to the left:
9w*5*4w-(36)=0
Wy multiply elements
180w^2*4-36=0
Wy multiply elements
720w^2-36=0
a = 720; b = 0; c = -36;
Δ = b2-4ac
Δ = 02-4·720·(-36)
Δ = 103680
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}$$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{103680}=\sqrt{20736*5}=\sqrt{20736}*\sqrt{5}=144\sqrt{5}$$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144\sqrt{5}}{2*720}=\frac{0-144\sqrt{5}}{1440} =-\frac{144\sqrt{5}}{1440} =-\frac{\sqrt{5}}{10} $$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144\sqrt{5}}{2*720}=\frac{0+144\sqrt{5}}{1440} =\frac{144\sqrt{5}}{1440} =\frac{\sqrt{5}}{10} $
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