Question

Determine o valor de k no polinomio P(x) = 2x² + 2kx - 5 para que se tenha P(3) = 49

Answer 1

Explicação passo-a-passo:

Temos que $P(x)=2x^{2} +2kx-5$ e $P(3)=49$.

$P(3)=49\\\\2.3^{2} +2.k.3-5=49\\\\2.9+6k-5=49\\\\18+6k-5=49\\\\6k+13=49\\\\6k=49-13\\\\6k=36\\\\k=\frac{36}{6} \\\\k=6$