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What is the sum of all values of z such that z^2 = 12z - 7 + 9z - 5?

 Sep 1, 2021
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What is the sum of all values of z such that z^2 = 12z - 7 + 9z - 5?

 

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\(z^2-21z+12=0\\ z=10.5\pm \sqrt{110.25-12}\\ z=10.5\pm \sqrt{98.25}\\ \sum z=20.412114+0.587886\)

\(\sum z=21\)

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 Sep 1, 2021

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