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Answer: 4.5

Let the number be x

(2x - 1)^2 = 64
Find the square root of both sides
2x - 1 = 8
2x = 8 + 1
2x = 9
x = 4.5
Lanuel

If you doubled an unknown number and subtract 1 and then square the answer to get 64, the unknown number is 4.5.

  • Let the unknown number be n.

Given the following data:

  • Output = 64

To find an unknown number:

In this exercise, you're required to solve for an unknown number while performing some arithmetic operations such as multiplication, subtraction and square.

Translating the word problem into an algebraic expression, we have;

Doubling the unknown number, we would multiply by 2:

[tex]2n[/tex]

Subtracting 1 from the above and squaring, we have:

[tex](2n-1)^2 = 64\\\\2n-1=8\\\\2n =8+1\\\\2n=9\\\\n=\frac{9}{2}[/tex]

n = 4.5

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