(p²-6)=4(p²-6)² решите пожалуйста

Question

(p²-6)=4(p²-6)² решите пожалуйста

Answer 1

(p²-6)=4(p²-6)²
(p²-6)-4(p²-6)² = 0
(p²-6)*(1-4(p²-6)) = 0
(p²-6)*(1-4p²+24) = 0
(p²-6)*(25-4p²) = 0
(p²-6)*(5-2p)*(5+2p)=0
p²-6 = 0
p² = 6
p1 = √6
p2 = -√6
5-2p = 0
-2p = -5
p3 = 5\2 = 2,5
5+2p = 0
2p = -5
p4 = -2,5

Ответ: -2,5; 2,5; √6; -√6

Comments

Огромное спасибо!!!