Matematika

Pertanyaan

Pers kuadrat
a.) x^2 - 3x + 2 =0

b.) X^2-5x+6=0

c.) 3x^2- 7x +2 = 0

pliss

2 Jawaban

  • Mapel : Matematika
    Kelas : VIII SMP
    Bab : Persamaan Kuadrat

    Pembahasan :
    x² - 3x + 2 = 0
    (x - 2)(x - 1) = 0
    x = 1
    x = 2

    x² - 5x + 6 = 0
    (x - 3)(x - 2) = 0
    x = 2
    x = 3

    3x² - 7x + 2 = 0
    (3x - 1)(x - 2) = 0
    x = 1/3
    x = 2

  • A.
    [tex]{ x }^{ 2 }-3x+2=0\\ (x-2)(x-1)=0[/tex]
    x - 2 = 0
    x = 2
    atau
    x - 1 = 0
    x = 1
    B.
    [tex]{ x }^{ 2 }-5x+6=0\\ (x-3)(x-2)=0[/tex]
    x - 3 = 0
    x = 3
    atau
    x - 2 = 0
    x= 2
    C.
    [tex]{ 3x }^{ 2 }-7x+2=0\\ { x }_{ 1 },{ x }_{ 2 }=\frac { -b\pm \sqrt { { b }^{ 2 }-4ac } }{ 2a } \\ { x }_{ 1 },{ x }_{ 2 }=\frac { 7\pm \sqrt { 49-4\cdot 3\cdot 2 } }{ 2\cdot 3 } \\ { x }_{ 1 },{ x }_{ 2 }=\frac { 7\pm \sqrt { 49-24 } }{ 6 } \\ { x }_{ 1 },{ x }_{ 2 }=\frac { 7\pm \sqrt { 25 } }{ 6 } \\ { x }_{ 1 }=\frac { 7+5 }{ 6 } =2\\ { x }_{ 2 }=\frac { 7-5 }{ 6 } =\frac{1}{3}[/tex]

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