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50b^2-288=0
a = 50; b = 0; c = -288;
Δ = b2-4ac
Δ = 02-4·50·(-288)
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{57600}=240$$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240}{2*50}=\frac{-240}{100} =-2+2/5 $$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240}{2*50}=\frac{240}{100} =2+2/5 $
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