Răspuns:
(3x-1)²=9
9x²-6x+1=9
9x²-6x+1-9=0
9x²-6x-8=0
==> ∆=b²-4ac=(-6)²-4•9•(-8)=324
X1,2=-b±√∆/2a
X1=-b-√∆/2a=6-√324/2•9=6-18/18= -2/3
X2=-b+√∆/2a=6+√324/2•9=6+18/18=24/18=8/6=4/3
Răspuns:
Explicație pas cu pas:
[tex]\bf (3x-1)^2=9[/tex]
[tex]\bf (3x-1)^2=3^{2}\implies 3x-1 = 3[/tex]
[tex]\bf 3x = 3 +1[/tex]
[tex]\bf 3x = 4[/tex]
[tex]\boxed{\bf x =\dfrac{4}{3} }[/tex]
