Given that α and β are the roots of the quadratic equation , and α=2β, a) find the value of p. b) form a quadratic equation with roots α+2 and β+2

Step-by-step explanation:

Hello,

It means that

And we know that

So we got two equations

For

For

I assume that we are after two different roots so the solution for p is p=-11

b)

So a quadratic equation with the expected roots  is

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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