The numbers are 49 and 7 when both are positive and their sum is 56, is equal to the square of the other if they are both positive.
Given that,
We have to find the number that, if both are positive and their sum is 56, is equal to the square of the other if they are both positive.
We know that,
Let the numbers be x and y.
x=y²
x and y are positive
Sum is 56
x+y=56
Substitute x =y² in equation
y²+y=56
y²+y-56=0
y²+8y-7y-56=0
y(y+8)-7(y+8)=0
(y+8)(y-7)=0
y=7 and -8
The number are positive so y is 7.
Substitute x=y²
x=7²
x=49
Therefore, The numbers are 49 and 7 when both are positive and their sum is 56, is equal to the square of the other if they are both positive.
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