Question

log base 3 power 27 is a root of quadratic equation X square + 5 x + p is equal to zero then find the value of p​

Answer 1

Answer:

$log base \: 3 \: power \: 27 = 3 \\ \: let \: p(x) = x {}^{2} + 5x + p \\ if \: we \: put \: p(3) = 0 \\ we \: get \: 9 + 15 + p = 0 \\ p = - 24$

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