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=M(M+1)=110
We move all terms to the left:
-(M(M+1))=0
We calculate terms in parentheses: -(M(M+1)), so:We get rid of parentheses
M(M+1)
We multiply parentheses
M^2+M
Back to the equation:
-(M^2+M)
-M^2-M=0
We add all the numbers together, and all the variables
-1M^2-1M=0
a = -1; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·(-1)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$M_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$M_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1}=1$$M_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*-1}=\frac{0}{-2} =0 $$M_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*-1}=\frac{2}{-2} =-1 $
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