If x + z = 2y and b2 = ac, then let us show that ay–z bz–x cx–y = 1.
Given that x + z = 2y and b2 = ac
We can write from x + z = 2y
…eq(1)
Now, b2 = ac
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Now, we can write as
and
…eq(2)
Now, LHS = ay–z bz–x cx–y
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= b0 = 1 = RHS
Therefore, LHS = RHS
Hence, proved .
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