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m2=11m+20
We move all terms to the left:
m2-(11m+20)=0
We add all the numbers together, and all the variables
m^2-(11m+20)=0
We get rid of parentheses
m^2-11m-20=0
a = 1; b = -11; c = -20;
Δ = b2-4ac
Δ = -112-4·1·(-20)
Δ = 201
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}$$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-\sqrt{201}}{2*1}=\frac{11-\sqrt{201}}{2} $$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{201}}{2*1}=\frac{11+\sqrt{201}}{2} $
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