The sum of two roots of a quadratic equation is 5 and sum of their cubes is 35, find the equation
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Answered by
1
Step-by-step explanation:
Answered by
0
Solution:
According to the given condition,
But, a³+b³=(a+b)(a²+ab+b²)....{Formula}
So,
But,
Therefore,
Similarly, by splitting (2αβ)
We get,
But, α²+2αβ+β²= (α+β)²
...{(a+b)²=a²+2ab+b²}
...{Formula}
Therefore,
But, α+β=5
Therefore,
Therefore,
The equation will be..
...{By Formula}
Therefore, following is the required equation.
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