what should be subtracted from 25y2+60y+36 to become a perfect square
Answers
Answer:
60y
Step-by-step explanation:
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Answer:
Let the number to be subtracted be a.
So, 13−a,25−a,55−a are in continued proportion.
If a:b::b:c, then we say that a,b,c are in continued proportion, and c is the third proportional of a and b.
Here, b
2
=ac
=>(25−a)
2
=(13−a)×(55−a)
a
2
−50a+625=a
2
−68a+715
−50a+625=−68a+715
18a=90
a=5
Hence, 5 needs to be subtracted from 13,25,55 such that they are in continued proportion