Bài 3 : Tìm x biết
a ) ( 2x+1) ^2 – 4 (x+2)^2 =9
b ) 3 (x -1)^2 – 3x ( x-5 ) = 21
c ) ( x -1 ) ( x^2 + x+1 ) – x ( x+2 ) ( x-2 )= 5
d) ( x-1)^3 – ( x+3 ) ( x^2- 3x +9 )+ 3(x -2 )(x+2 ) = 2
Bài 3 : Tìm x biết
a ) ( 2x+1) ^2 – 4 (x+2)^2 =9
b ) 3 (x -1)^2 – 3x ( x-5 ) = 21
c ) ( x -1 ) ( x^2 + x+1 ) – x ( x+2 ) ( x-2 )= 5
d) ( x-1)^3 – ( x+3 ) ( x^2- 3x +9 )+ 3(x -2 )(x+2 ) = 2
Đáp án:
Giải thích các bước giải:
a ) ( 2x+1) ^2 – 4 (x+2)^2 =9
<->4x^2+4x+1-4(x^2+4x+1)=9
<->4x^2+4x+1-4x^2-16x-16=9
<->-12x -15=9
<->-12x=24
<->x=-2
=>S={-2}
b ) 3 (x -1)^2 – 3x ( x-5 ) = 21
<->3(x^2-2x+1)-3x^2+15x=21
<->3x^2-6x+3-3x^2+15x=21
<->9x+3=21
<->9x=18
<->x=2
=>{2}
c ) ( x -1 ) ( x^2 + x+1 ) – x ( x+2 ) ( x-2 )= 5
<->x^3-1-x(x^2-4)=5
<->x^3-1-x^3-4x=5
<->-4x=6
<->x=-3/2
=>S={-3/2}
d) ( x-1)^3 – ( x+3 ) ( x^2- 3x +9 )+ 3(x -2 )(x+2 ) = 2
<->x^3-3x^2+3x-1-(x^3+27)+3(x^2-4)=2
<->x^3-3x^2+3x-1-x^3-27+3x^2-12=2
<->3x=1+27+12+2
<->3x=42
<->x=14
=>S={14}
Chúc bạn học tốt!Cho mình ctlhn nhé~~