Matematika

Pertanyaan

URGENT!

tolong jawab nomor 7&8 dengan caranya, terima kasih.
URGENT! tolong jawab nomor  7&8 dengan caranya, terima kasih.

1 Jawaban

  • 7.
    2x²-9x+10 = 0
    x²-(9/2)x + 5 = 0
    x² - 2(9/4)x + (9/4)² - 1/16 = 0
    (x-(9/4))² = 1/16
    (x-(9/4)) = ±1/4
    x1 = 2
    x2 = 5/2

    8.
    ax² + bx + c = 0
    misal x1,x2 adalah akar2nya
    x1+x2 = -b/a
    x1.x2 = c/a

    x1+x2 = 3/4 + -4 = -13/4
    x1.x2 = 3/4.-4 = -3
    jdi dpat dibuat persmaan misal a = 1
    x²+bx+c = 0
    -b/1 = x1+x2
    b = 13/4
    c/1 = x1x2
    c = -3
    persmaan kuadratnya
    x²+(13/4)x + (-3) = 0
    4x²+13x-12=0