SOLUTION: The quadratic equation {{{2x^2 + 4x + p=0}}} has roots {{{alpha}}} and {{{beta}}}, and the equation {{{x^2+4x+6 = 0}}} has roots {{{k/alpha}}} and {{{k/beta}}}. Find the values of

Question 1041380: The quadratic equation has roots and , and the equation has roots and . Find the values of k and p.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
<==>
==> and .
Now, ==>
<==>
==> ==> k = p, after clearing fractions and simplifying.
Also, from the given,
==> ==> ===> ===> p = 0,3.
p = 0 is not acceptable because it will imply a root of 0 in and an undefined root in .
Therefore, .

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