Tìm x a,(x-1)^3 -(x+3).(x^2 -3x+9)+3(x^2-4)=2 b,(x+2)(x^2 -2x+4)-x(x+2)^2=0 07/07/2021 Bởi Claire Tìm x a,(x-1)^3 -(x+3).(x^2 -3x+9)+3(x^2-4)=2 b,(x+2)(x^2 -2x+4)-x(x+2)^2=0
a, `(x-1)^3-(x+3)(x^2-3x+9)+3(x^2-4)=2` `<=> x^3-3x^2+3x-1-x^3-27+3x^2-12=2` `<=> 3x-40=2` `<=> 3x=42` `<=> x=14` b, `(x+2)(x^2-2x+4)-x(x+2)^2=0` `<=> x^3+8-x(x^2+4x+4)=0` `<=> x^3+8-x^3-4x^2-4x=0` `<=> -4x^2-4x+8=0` `<=> -4(x^2+x-2)=0` `<=> x^2+2x-x-2=0` `<=> x(x+2)-(x+2)=0` `<=> (x+2)(x-1)=0` `<=> x in {1;-2}` Bình luận
a, (x-1)³ -(x+3).(x² -3x+9)+3(x²-4)=2 <=>x³ – 3x² + 3x – 1 – x³ – 27 + 3x² – 12 – 2 = 0 <=>3x = 42 <=> x = 14 Vậy x = 14 b) (x+2) (x² -2x+4)- x (x+2)²=0 <=> x³ + 8 – x ( x² + 4x + 4) = 0 <=> x³ + 8 – x³ – 4x² – 4x = 0 <=> -4x² – 4x + 8 = 0 <=> -4 ( x² + x – 2 ) = 0 <=> x² + x – 2 = 0 <=> x² – x + 2x – 2 = 0 <=> x ( x-1) + 2 (x-1) = 0 <=> (x-1) ( x+2) = 0 <=> – TH1: x-1 = 0 –> x=1 – TH2 : x+2 = 0 –> x = -2 Vậy x ∈ {1;2} NHỚ VOTE 5 SAO VÀ CTLHN CHO MIK NHÉ. THANKS!!! Bình luận
a, `(x-1)^3-(x+3)(x^2-3x+9)+3(x^2-4)=2`
`<=> x^3-3x^2+3x-1-x^3-27+3x^2-12=2`
`<=> 3x-40=2`
`<=> 3x=42`
`<=> x=14`
b, `(x+2)(x^2-2x+4)-x(x+2)^2=0`
`<=> x^3+8-x(x^2+4x+4)=0`
`<=> x^3+8-x^3-4x^2-4x=0`
`<=> -4x^2-4x+8=0`
`<=> -4(x^2+x-2)=0`
`<=> x^2+2x-x-2=0`
`<=> x(x+2)-(x+2)=0`
`<=> (x+2)(x-1)=0`
`<=> x in {1;-2}`
a, (x-1)³ -(x+3).(x² -3x+9)+3(x²-4)=2
<=>x³ – 3x² + 3x – 1 – x³ – 27 + 3x² – 12 – 2 = 0
<=>3x = 42
<=> x = 14 Vậy x = 14
b) (x+2) (x² -2x+4)- x (x+2)²=0
<=> x³ + 8 – x ( x² + 4x + 4) = 0
<=> x³ + 8 – x³ – 4x² – 4x = 0
<=> -4x² – 4x + 8 = 0
<=> -4 ( x² + x – 2 ) = 0
<=> x² + x – 2 = 0
<=> x² – x + 2x – 2 = 0
<=> x ( x-1) + 2 (x-1) = 0
<=> (x-1) ( x+2) = 0
<=> – TH1: x-1 = 0 –> x=1
– TH2 : x+2 = 0 –> x = -2
Vậy x ∈ {1;2}
NHỚ VOTE 5 SAO VÀ CTLHN CHO MIK NHÉ. THANKS!!!