Math (Algebra)

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If the ratio of the roots of the quadratic equation x^2−28x+A=0 is 2:5, what is the product of the roots of the quadratic equation x^2+Ax+2A+3=0?

  • Math (Algebra) -

    323

  • Math (Algebra) -

    (x-2)(x-5) = x^2-7x+10
    we have 28, not 7, so scale up by 4:
    (x-8)(x-20) = x^2-28x+160

    That makes our cubic

    x^2 + 160x + 323 = 0

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