17. A positive number is divided into two parts
such that the sum of the squares of the
two parts is 20. The square of the larger part
is 8 times the smaller part. Taking as the
smaller part of the two parts, find the number
Answers
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3
Answer:
the number is 6
Step-by-step explanation:
let the two parts be x and y.
x^2 + y^2 = 20
x^2 = 8y
from these two equations,
y^2 + 8y - 20 = 0
(y+10)(y-2) = 0
since y is a positive number, y=2
so x=4
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