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3.5=-0.0625d^2+2.7d
We move all terms to the left:
3.5-(-0.0625d^2+2.7d)=0
We get rid of parentheses
0.0625d^2-2.7d+3.5=0
a = 0.0625; b = -2.7; c = +3.5;
Δ = b2-4ac
Δ = -2.72-4·0.0625·3.5
Δ = 6.415
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2.7)-\sqrt{6.415}}{2*0.0625}=\frac{2.7-\sqrt{6.415}}{0.125} $$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.7)+\sqrt{6.415}}{2*0.0625}=\frac{2.7+\sqrt{6.415}}{0.125} $
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