(X^2+4x+4)^2+3(x+2)^2=4

Question

(X^2+4x+4)^2+3(x+2)^2=4

Answer 1

Х²+4х+4=(х+2)²


((х+2)²)²+3(х+2)²=4

(х+2)²=у ⇒ у>0

у²+3у=4
у²+3у-4=0
у=1

(х+2)²=1
х+2=1 или х+2=-1
х=-1 или  х=-3