ОдЗ
3х+1≥0⇒х≥-1/3 U x-6≥0⇒x≥6
x∈[6;∞)
√(3х+1)*(х-6)=3х+1
√(3х+1)*[(х-6)-√(3x+1)]=0
3x+1=0⇒x=-1/3 не удов усл
x-6=√(3x+1)
x²-12x+36=3x+1
x²-15x+35=0
D=225-140=85
x1=(15-√85)/2<6 не удов усл<br>х2=(15+√85)/2
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√[(3х+1)(х-6)]=3x+1
ОДЗ
(3x+1)(x-6)≥0
x=-1/3 x=6
x≤-1/3 U x≥6
3x+1≥0
x≥-1/3
x≥6 U {-1/3}
(3x+1)(x-6)=(3x+1)²
(3x+1)*(3x+1-x+6)=0
3x+1=0
x=-1/3
2x+7=0
x=-3,5 не удов усл