Question

I think of a number, if I subtract 10 from my number, then square the result, I get the same answer as if I square my number, then subtract 10 from the result

Answer 1

Answer:

x =5.5

Step-by-step explanation:

The directions say to use x for the number.

"take 10 away from"

x - 10

"then square the result"

(x - 10)^2

"I get the same answer" means the two expressions will be equal to each other.

"if I square my number"

x^2

"then subtract 10 from the result"

x^2 - 10

SET EQUAL TO EACH OTHER.

(x - 10)^2 = x^2 -10

Multiply on the left side.

x^2-20x+100 =x^2-10

subtract x^2 from both sides.

-20x + 100 = -10

subtract 100.

-20x = -110

divide by -20

x = 11/2 or 5.5

CHECK:

(5.5-10)^2=20.25

5.5^2 - 10=20.25

Answer 2

The Algebraic equations (x - 10)² and x² - 10 have an equal value My number is 5.5.

What is an Algebra equation?

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

I think of a number, if I subtract 10 from my number, then square the result, I get the same answer as if I square my number, then subtract 10 from the result.

Let the number be x.

If I subtract 10 from my number that is x - 10 then square the result that is (x-10)².

And if I square my number that is x² then subtract 10 from the result that is x² - 10.

Both the result are the same then we have

          (x - 10)² = x² - 10

x² - 20x + 100 = x² - 10

    -20x + 100 = -10

                    x = 5.5

My number is 5.5.

More about the Algebra equation link is given below.

https://brainly.com/question/953809