The square of a number plus the number is 182. Find any numbers that satisfy the situation.

x = -14 x=13

Step-by-step explanation:

Let x be the unknown number

x^2 + x = 182

Subtract 182 from each side

x^2 + x - 182 = 182-182

x^2 + x - 182=0

What two numbers multiply to - 182 and add to 1

14*-13 = 182

14-13 = 1

(x+14) (x-13) = 0

Using the zero product property

x+14=0 x-13 = 0

x = -14 x=13