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If Ź of a number is 5 less than the original number, what is the square of the number?

I. 15
II. 225
III. 125

User Finspin
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1 Answer

1 vote

Final answer:

To find the square of the number, you need to solve the equation Źx = x - 5 and find the value of x. Then, you can find the square of the number by squaring it. The value of x² depends on the value of ź and cannot be determined based on the given options.

Step-by-step explanation:

To solve this problem, let's first set up an equation. Let's say the original number is x.

We are told that Ź of the number is 5 less than the original number, so we can write the equation as Źx = x - 5.

Now, let's solve for x:

Źx = x - 5
x/ź = x - 5
x - x/ź = 5
źx - x = 5
x(ź - 1) = 5
x = 5/(ź - 1)

Now that we have x, we can find the square of the number by squaring it. So, x² = (5/(ź - 1))².

To find the value of x², we can substitute the given values of ź into the equation and calculate:

If ź = 15, then x² = (5/(15 - 1))² = 0.069.
If ź = 225, then x² = (5/(225 - 1))² = 0.004
If ź = 125, then x² = (5/(125 - 1))² = 0.012

Therefore, the square of the number depends on the value of ź and cannot be determined based on the given options.

User Joe Van Dyk
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8.5k points