Find an m > 0 such that the the equation x^4−(3m+2)x^2+m^2=0 has four real solutions that form an arithmetic sequence.
1 answer:
Answer:
The value of m is 6.
Step-by-step explanation:
Here, the given equation,
Let the roots of the equation are a-3b, a-b, a+b and a + 3b, ( they must be form an AP )
Thus, we can write,
But m > 0,
Hence, the value of m is 6.
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