If a number is subtracted from its square,the result is 110. Find the number(s).

Question

Can you help me I cannot figure this out :( .

Answer 1

Let x be the unknown number. It's square is x², so a number subtracted from its square is x² - x and that equals 110:

x² - x = 110

x² - x - 110 = 0

Solve for x by factoring or using the quadratic formula.

Answer 2

n - number

Writing the equation:

n² - n = 110

n² - n - 110 = 0. → factoring

(n - 11)(n + 10) = 0

n - 11 = 0, n = 11

n + 10 = 0, n = -10

Answer: 11, -10