Duride 56 in four parts
are in AP Such that the
ratio of product of their
extremes to the product
of means is 5:6. Find the
four parts.
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Answer:
Answer:Let the four parts that are in AP be a-3d,a+d, a+3d
a-3d+a-d +a+d+a+3d=36
4a=56
a=14
ATQ
(a-3d)(a+3d)=5÷ ( a-d) (a+d)=6
a^2-9d^2÷a^2-d^2=5÷6
6(196-9d^2)=5(196-d^2)
1176-54d^2=980-5d^2
49d^2=196
d=+-2
four part 8,12 d=2 and 20,16,12if d=-2
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