For what value of k will 7/3 be a root of 3x^2-13x-k=0
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If any number is a root of an equation then substituting that number in that equation will result in zero.
3(7/3)²₋13(7/3)₋k≈0
3(49/9)₋13(7/3)≈k
(49/3)₋(91/3)≈k
₋42/3≈k
k≈₋14
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