For what values of x are the numbers (x+9),(x−6) and 4 in GP?
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If (x+9),(x−6) and 4 are in GP then common ratio will be equal.
⟹
x+9
x−6
=
x−6
4
⟹(x−6)
2
=4(x+9)
⟹x
2
−12x+36=4x+36
⟹x(x−16)=0
⟹x=0 or x=16.
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