Discussion
The average of a non-zero number and its square is 5 times the number. The number is:
Answer: A
Let the number be x.
The average of the number and its square is \(\frac{x + x^2}{2}\).
This is equal to 5 times the number, so \(5x\).
\(\frac{x + x^2}{2} = 5x\)
\(x + x^2 = 10x\)
Since x is non-zero, we can divide by x:
1 + x = 10
x = 9.
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