Question

if an integer is added to square the sum is 72 find the integer

Answer 1

Answer:

-9 or 8

Step-by-step explanation:

Let x = the number

 

x2 + x = 72  ; when the number is added to its square the result is 72

 

Solve quadratic equation by factoring (suggested):

 

x2 + x - 72 = 0

 

(x + 9)(x - 8) = 0

 

So, x = -9 OR x = 8.

 

Check: (-9)2 + (-9) = 72

 

          (8)2 + 8 = 72