T z T_z today

Algebra Level pending

What is z z when T z = 2 z 1 2 z + 1 = 21 T_z=\frac{2z-1}{2z+1}=21 ?

+ 20 11 +\frac{20}{11} 11 20 -\frac{11}{20} 20 11 -\frac{20}{11} + 11 20 +\frac{11}{20}

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1 solution

Zeeshan Ali
May 24, 2018

T z = 2 z 1 2 z + 1 = 21 2 z 1 = 42 z + 21 0 = 40 z + 22 z = 22 40 = 11 20 T_z=\frac{2z-1}{2z+1}=21 \implies 2z-1=42z+21 \implies 0=40z+22 \implies z=-\frac{22}{40}=-\frac{11}{20} .

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