Suppose that the roots of x3 + 3x2 + 4x − 11 = 0 are a, b and c, and that the roots of x3 + rx2 + 5s + t = 0 are a + b, b + c, c + a. Find t.
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6
We know that,
Now,
Given that
So,
Now, again given that,
So,
On adding and Subtracting abc, we get
Now on rearranging the terms, we get
On substituting the values, evaluated above, we get
Hence,
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2
Answer:
the answer's 23
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