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

Toán Lớp 8: Tìm x a) (x + 5 )^2 + x(7 – x) = 8 b) 4x(x – 5) – 3x + 15 = 0

Toán Lớp 8: Tìm x
a) (x + 5 )^2 + x(7 – x) = 8
b) 4x(x – 5) – 3x + 15 = 0

Comments ( 2 )

  1. a) (x+5)^2 + x(7-x) =8
    <=> x^2 + 2x .5 +5^2 + 7x – x^2 =8
    <=> x^2 + 10x + 25 + 7x – x^2 =8
    <=> (x^2 – x^2) + (10x + 7x) + 25 =8
    <=> 17x + 25 =8
    <=> 17x = -17
    <=> x= -1
    Vậy x =-1
    b) 4x(x-5) – 3x + 15 =0
    <=>4x(x-5) – 3(x-5) =0
    <=> (4x-3)(x-5)=0
    <=> \(\left[ \begin{array}{l}4x-3=0\\x-5=0\end{array} \right.\) 
    <=> \(\left[ \begin{array}{l}4x=3\\x=5\end{array} \right.\) 
    <=> \(\left[ \begin{array}{l}x=\frac{3}{4}\\x=5\end{array} \right.\)
    Vậy x in { 3/4 ; 5}
     

  2. Giải đáp:
     a) x=-1          b) x ∈ {3/4;5}
    Lời giải và giải thích chi tiết:
     a) (x+5)²+x.(7-x)=8
    ⇔ x²+10x+25+7x-x²=8
    ⇔ (x²-x²)+(10x+7x)+25=8
    ⇔ 17x+25=8
    ⇔ 17x=-17
    ⇔ x=-1
    Vậy x=-1
    b) 4x.(x-5)-3x+15=0
    ⇔ 4x.(x-5)-3.(x-5)=0
    ⇔ (4x-3).(x-5)=0
    ⇔ 4x-3=0      ⇔ 4x=3    ⇔ x=3/4
    ⇔ x-5=0        ⇔ x=5      ⇔ x=5
    Vậy x ∈ {3/4;5}
    @Festivals

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