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

Toán Lớp 8: cho `P=(x^2+3x)/((x-1)^2)` tìm `x` để `P>1`?

Toán Lớp 8: cho P=(x^2+3x)/((x-1)^2)
tìm x để P>1?

Comments ( 1 )

  1. P = $\frac{x² + 3x}{( x – 1)²}$ 
    P > 1
    <=> $\frac{x² + 3x}{( x – 1)²}$  > 1
    mà  ( x – 1 )^2 > 0
    => x^2 + 3x > ( x – 1 )^2
    <=> x^2 + 3x – x^2 + 2x – 1 > 0
    <=> 5x – 1 > 0
    <=> 5x > 1
    => x > 1/5
    Vậy  x > 1/5  thì  P  >  1
     

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