If a and b are the roots of the equation x2 +ax –b = 0, then find a and b

If a and b are the roots of the equation x2 +ax –b = 0, then find a and b

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Ariana

1 thought on “If a and b are the roots of the equation x2 +ax –b = 0, then find a and b”

  1. Step-by-step explanation:

    a and b are roots of equation

    a^2+a^2-b=0

    2a^2=b

    b^2+ab-b=0

    b^2+(b/2)^1/2*b-b=0

    b(b+(b/2)^1/2-1)=0

    (b/2)^1/2=1-b

    b/2=1+b^2-2b

    b=2+2b^2-4b

    2b^2-5b+2=0

    2b^2-4b-b+2=0

    2b(b-2)-1(b-2)=0

    (b-2)(2b-1)=0

    b=2 or 1/2

    2a^2=2 or 2a^2=1/2

    a=+1 or -1 a=1/2or -1/2

    for b=2

    a=1 or -1

    for b=1/2

    a=1/2 or -1/2

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