Mathematics

Question

the product of 2x-3 and x+4 can be expressed as what

2 Answer

  • (2x - 3)*(x+4) =
    2x*x + 2x*4 - 3*x - 3*4 =
    2x^2 + 8x - 3x - 12 =
    2x^2 + 5X - 12 =
    a = 2; b = 5, c = - 12
    Δ = b^2 - 4.a.c
    Δ = 5^2 - 4.2.(-12)
    Δ = 25 - 8. (-12)
    Δ = 25 + 96
    Δ = 121

    x = -b±√Δ / 2.a
    x = -5±√121 / 2.2
    x = -5±11 / 4

    x' = -5-11 / 4 = -16/4 => x' = -4
    x" = -5+11 / 4 = 6/4 (÷2) => x" = 3/2


  • Hope it cleared your doubt.
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