Question

This question will make you think. This is for a lot of points so please answer correctly and clearly state the answer. If you want to reach out to me: you can find my number like this: 8133208481. For all of those haters and reporters goody-two-shoes, this is totally not my number...........this is a math equation

Answer 1

6

Explanation:

Let x by the unknown number.

Given:

• Eighty-five more than the square of a number is the same as the square of the quantity that is 17 less than the number.

Therefore, the equation representing the given information is:

`\boxed{x^2+85=(x-17)^2}`

To solve for x, expand the right side:

`\implies x^2+85=(x-17)^2`

`\implies x^2+85=(x-17)(x-17)`

`\implies x^2+85=x^2-34x+289`

Subtract x² from both sides of the equation:

`\implies 85=-34x+289`

Add 34x to both sides:

`\implies 34x+85=289`

Subtract 85 from both sides:

`\implies 34x=204`

Divide both sides by 34:

`\implies x=6`

Therefore the unknown number is 6.