Question

Find the quadrater Equalion for which
sum of roots is 1 and sum of the squares of the roots is 13​

Answer 1

If we square α+β=1, we get α²+β²+2αβ=1. Now, by comparison with α²+β²=13, we can observe that 2αβ=-12. ⇒Therefore, multiplication of roots is -6. Here is our answer.

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