Matematika

Pertanyaan

jika [tex] x_{1} dan x_{2} adlh akar" dri persamaan kuadrat x^{2} +x-7 =0, nilai x_{1} ^{2} + x_{2} ^{2} [/tex] adalah

2 Jawaban

  • Persamaan Kuadrat

    x² + x - 7 = 0
    x1 + x2 = -b/a = -1/1 = -1
    x1x2 = c/a = -7/1 = -7

    x1² + x2²
    = (x1 + x2)² - 2x1x2
    = (-1)² - 2(-7)
    = 1 + 14
    = 15
  • x^2+x-7=0
    x1 + x2 =-1
    x1 × x2 =-7

    [tex]x1^{2} + x2 ^{2} [/tex]
    ((x1+x2)^2)-2(x1x2)
    ((-1)^2)-2(-7)
    1+14
    15
    semoga membantu

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