6х²-5|x|-1=0
x>0
6х²-5x-1=0
D= 25+24=49
x₁=(5+7)/12=1
x₂=(5-7)/12= -1/6 < 0
x<0
6х²+5x -1=0
D=49
x₁=(-5+7)/12= 1/6 >0
x₂=(-5-7)/12= -1
Ответ : х=1 ; х= -1
х²+8х -20=0
х²+8х +16- 36=0
(х+4)² - 6²=0
(х+4 - 6)(х+4 +6) = (х-2)(х+10)=0
х-2=0 х= 2
х+10=0 х=-10
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6х²-5|x|-1=0
x>0
6х²-5x-1=0
D= 25+24=49
x₁=(5+7)/12=1
x₂=(5-7)/12= -1/6 < 0
x<0
6х²+5x -1=0
D=49
x₁=(-5+7)/12= 1/6 >0
x₂=(-5-7)/12= -1
Ответ : х=1 ; х= -1
х²+8х -20=0
х²+8х +16- 36=0
(х+4)² - 6²=0
(х+4 - 6)(х+4 +6) = (х-2)(х+10)=0
х-2=0 х= 2
х+10=0 х=-10