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

Toán Lớp 8: Tìm x a, 2x^2+5x=0 b, 4x^2-25=0 c, x^3+2x^2=2

Toán Lớp 8: Tìm x
a, 2x^2+5x=0
b, 4x^2-25=0
c, x^3+2x^2=2

Comments ( 2 )

  1. a, 2x^2+5x=0
    ↔x(2x+5)=0
    +)Trường hợp 1:
    x=0
    +)Trường hợp 2:
    2x+5=0
    ↔2x=-5
    ↔x=-5:2
    ↔x=-5/2
    Vậy x∈{0;-5/2}
    b, 4x^2-25=0
    ↔(2x)^2-5^2=0
    ↔(2x-5)(2x+5)=0
    +)Trường hợp 1:
    2x-5=0
    ↔2x=5
    ↔x=5:2
    ↔x=5/2
    +)Trường hợp 2:
    2x+5=0
    ↔2x=-5
    ↔x=-5:2
    ↔x=-5/2
    Vậy x∈{5/2;-5/2}
    c, x^3+2x^2=0
    ↔x^2.(x+2)=0
    +)Trường hợp 1:
    x^2=0
    ↔x=0
    +)Trường hợp 2:
    x+2=0
    ↔x=-2
    Vậy x∈{0;-2}

  2. Tìm x:
    a)2x²+5x=0
    ⇔x.(2x+5)=0
    ⇔$\left \{ {{x=0} \atop {2x+5=0}} \right.$
    ⇔$\left \{ {{x=0} \atop {2x=-5}} \right.$
    ⇔$\left \{ {{x=0} \atop {x= \frac{-5}{2}}} \right.$
    Vậy x=0 hoặc x=$\frac{-5}{2}$
    b)4x²-25=0
    ⇔(2x)²-5²=0
    ⇔(2x-5).(2x+5)=0
    ⇔$\left \{ {{2x-5=0} \atop {2x+5=0}} \right.$
    ⇔$\left \{ {{2x=5} \atop {2x=-5}} \right.$
    ⇔$\left \{ {{x=\frac{5}{2}} \atop {x=\frac{-5}{2}}} \right.$
    Vậy x=$\frac{5}{2}$ hoặc x=$\frac{-5}{2}$ 
    c)x³-2x²=0
    ⇔x².(x-2)=0
    ⇔$\left \{ {{x²=0} \atop {x-2=0}} \right.$
    ⇔$\left \{ {{x=0=2} \atop {x=2}} \right.$
    Vậy x=0 hoặc x=2
    ~ chúc tus học tốt nha!!!~ 
     

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