Question

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

Answer 1

x =-14 x=13

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