Đáp án:
Giải thích các bước giải:
a,3(x – 1)(2x – 1) = 5(x + 8)(x – 1)
⇔3/5(x-1/x-1)(2x-1):(x+8)=0
⇔(2x-1)=0
⇔x=1/2
b,9x 2 – 1 = (3x + 1)(4x +1)
⇔(3x-1)(3x+1)=(3x+1)(4x+1)
⇔3x-1=0⇔x=1/3
c, (x + 7)(3x – 1) = 49 – x 2
⇔(x + 7)(3x – 1)=(7-x)(7+x)
⇔3x-1=0⇔x=1/3
d) (2x +1) 2 = (x – 1 ) 2
⇔(2x +1) =0⇔x=-1/2
e) x 3 - 5x 2 + 6x =0
⇔x^3-x^2+6x^2-6x=0
⇔x^2(x-1)6x(x-1)=0⇔(x^2-6x)(x+1)=0
⇔x=0 hoặc x-6=0 hoặc x+1=0
⇔x=0 ⇔x=6 x=-1
h) (x 2 – 5 )(x + 3) = 0
⇔x^2-5=0 hoặc x+3=0
⇔x^2=5 ⇔x=-3
⇔x=√5