Question

If I subtract 10 from my number, then square it, I get the same as when I square my number and subtract 10. What is the number?

a) 5
b) -5
c) 10
d) -10

Answer 1

To find the number, we solve the equation (x - 10)^2 = x^2 - 10. After simplifying the equation, we find that the number is 5.

Step-by-step explanation:

To solve this problem, let's assume the number as x. According to the given information, (x - 10)^2 = x^2 - 10. Now, let's solve this equation step by step:

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

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

-20x + 100 = -10

-20x = -110

x = 5

Therefore, the number is 5.