Question

find a number which is when added to its square the sum will be 72.​

Answer 1

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

Answer 2

$\huge \sf \red{Answer}$

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