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

Toán Lớp 8: Giari phuoưng trình $x^{3}$ $-$ $30x^{2}$ + $225x$ – $500$ = $0$

Toán Lớp 8: Giari phuoưng trình
$x^{3}$ $-$ $30x^{2}$ + $225x$ – $500$ = $0$

Comments ( 2 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
       x^3-30x^2+225x-500=0
    ⇔x^3-20x^2-10x^2+200x+25x-500=0
    ⇔x^2(x-20)-10x(x-20)+25(x-20)=0
    ⇔(x-20)(x^2-10x+25)=0
    ⇔(x-20)(x-5)^2=0
    ⇔\(\left[ \begin{array}{l}x-20=0\\(x-5)^2=0\end{array} \right.\)
    ⇔\(\left[ \begin{array}{l}x=20\\x-5=0\end{array} \right.\)
    ⇔\(\left[ \begin{array}{l}x=20\\x=5\end{array} \right.\)
    Vậy x=20 hoặc x=5

  2. $\\$
    x^3-30x^2 + 225x – 500=0
    ↔ x^3-20x^2 – 10x^2 + 200x +25x-500=0
    ↔ x^2(x-20) – 10x(x-20) +25 (x-20)=0
    ↔ (x-20)(x^2-10x+25)=0
    ↔ (x-20)(x-5)^2=0
    TH1 :
    x-20=0
    ↔x=20
    TH2 :
    (x-5)^2=0
    ↔x-5=0
    ↔x=5
    Vậy S={20;5}
     

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

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