2. Solve 6x3 – 11x2 – 3x + 2 = 0 given that its roots are in harmonic progression.
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Answer:
Step-by-step explanation:
Consider the given equation,
6x3−11x2+6x−1=0
Put,x=1 we get
6.13−11.12+6.1−1=0
0=0
Hence, x=1 ⇒x−1=0 is zeroes os given equation.
Now
x−1)6x3−11x2+6x−16x2−5x+1
−(6x3−6x2)
−5x2+6x−1
−(−5x2+5x)
x−1
−(x−1)
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