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(^2+5+6)D=0.D(0)=0.D(0)=15
We move all terms to the left:
(^2+5+6)D-(0.D(0))=0
We add all the numbers together, and all the variables
(^2+5+6)D-0=0
We add all the numbers together, and all the variables
(^2+5+6)D=0
We multiply parentheses
D^2+5D+6D=0
We add all the numbers together, and all the variables
D^2+11D=0
a = 1; b = 11; c = 0;
Δ = b2-4ac
Δ = 112-4·1·0
Δ = 121
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}$$D_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{121}=11$$D_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-11}{2*1}=\frac{-22}{2} =-11 $$D_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+11}{2*1}=\frac{0}{2} =0 $
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