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аноним1000000
@аноним1000000
July 2022
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3(x²+2x)²=35(x+1)²+115
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Verified answer
3(x²+2x)²=35(x+1)²+115
3(x²+2x)²=35(x²+2х+1)+115
пусть х²+2х=t
3t²=35(t+1)+115
3t²-35(t+1)-115=0
3t²-35t-35-115=0
3t²-35t-150=0
D=1225+4*3*150=3025
t=(35-55):6=-20/6=-10/3
t=(35+55):6=15
х²+2х=-10/3
3x²+6x=-10
3x²+6x+10=0
D=36-4*3*10<0 - корней нет
или
х²+2х=15
х²+2х-15=0
D=4+60=64
x=(-2-8):2=-5
x(-2+8):2=3
ответ: -5; 3
2 votes
Thanks 1
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Answers & Comments
Verified answer
3(x²+2x)²=35(x+1)²+1153(x²+2x)²=35(x²+2х+1)+115
пусть х²+2х=t
3t²=35(t+1)+115
3t²-35(t+1)-115=0
3t²-35t-35-115=0
3t²-35t-150=0
D=1225+4*3*150=3025
t=(35-55):6=-20/6=-10/3
t=(35+55):6=15
х²+2х=-10/3
3x²+6x=-10
3x²+6x+10=0
D=36-4*3*10<0 - корней нет
или
х²+2х=15
х²+2х-15=0
D=4+60=64
x=(-2-8):2=-5
x(-2+8):2=3
ответ: -5; 3