Question

Marque a opção que contemple a forma fatorada.

p²+6p=16p-25

a) (p-6)^2
b) (p-3)^2
c) (p-4)^2
d) (p-5)^2​

Answer 1

$p²+6p=16p-25 \\ \\ p {}^{2} + 6p - 16p + 25 = 0 \\ p {}^{2} - 10p + 25 = 0 \\ {\red{(p - 5) {}^{2} = 0 }} \\ p - 5 = 0 \\ p = 5$

resposta: d) (p-5)^2