113k views
5 votes
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
by
7.8k points

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
by
8.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories