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320=5w^2
We move all terms to the left:
320-(5w^2)=0
a = -5; b = 0; c = +320;
Δ = b2-4ac
Δ = 02-4·(-5)·320
Δ = 6400
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{6400}=80$$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-80}{2*-5}=\frac{-80}{-10} =+8 $$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+80}{2*-5}=\frac{80}{-10} =-8 $
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