Can you help me find the numnber?

Question

The sum of a positive number and its square is 72. Find the number.

Answer 1

let number= x

 

square = x²

 

 

x+ x²= 72

 

 

x²+x-72=0

 

factor the quadratic equation

 

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

 

x=-9  or x=8

 

so  positive no. is x=8