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5a^2=320
We move all terms to the left:
5a^2-(320)=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:$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{6400}=80$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-80}{2*5}=\frac{-80}{10} =-8 $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+80}{2*5}=\frac{80}{10} =8 $
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