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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 10: `\frac{2x-1}{x+1} + \frac{3x-1}{x+2} = \frac{x-7}{x-1} + 4`

Home/ Toán Lớp 10: `\frac{2x-1}{x+1} + \frac{3x-1}{x+2} = \frac{x-7}{x-1} + 4`

Toán Lớp 10: `\frac{2x-1}{x+1} + \frac{3x-1}{x+2} = \frac{x-7}{x-1} + 4`

Tháng Sáu 6, 2022 Toán học 1 Comment 0 views

Toán Lớp 10: \frac{2x-1}{x+1} + \frac{3x-1}{x+2} = \frac{x-7}{x-1} + 4

Comments ( 1 )

  1. ankim
    ankim
    6 Tháng Sáu, 2022 at 2:19 chiều
    Reply
    \frac{2x-1}{x+1}+\frac{3x-1}{x+2}=\frac{x-7}{x-1}+4
    <=> (2x-1)(x+2)(x-1)+(3x-1)(x+1)(x-1)=(x-7)(x+1)(x+2)+4(x+1)(x+2)(x-1)
    <=> 5x^3-8x+3=5x^3+4x^2-23x-22
    <=> 5x^3+4x^2-23x-25=5x^3-8x
    <=> 5x^3+4x^2-15x-25-5x^3=5x^3-5x^3
    <=> 4x^2+5x-20x-25=0
    <=> (4x+5)(x-5)=0
    TH1:
    4x+5=0
    <=> 4x=-5
    <=> x=-5/4
    TH2:
    x-5=0
    <=> x=5
    Vậy x∈{-5/4;5} 
     

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222-9+11+12:2*14+14 = ? ( )

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