rewsna ruThe sum of a number and its square is 72. What is this number? Show all the steps in your solution?

Question

its math 536 write it in the form of as squared+ bx+ c=0

Answer 1

x² + x = 72
x² + x - 72 = 0
(x - 8)(x + 9) = 0

There are two answers:
x = 8 or x = -9

I assume they want the positive answer which is x = 8.
8² + 8 = 72

Answer 2

Let the number we are looking for be x.

We are told:

x² + x = 72
x² + x - 72 = 0
(x + 9)(x - 8) = 0

Amazingly, this last equation will be true when x = -9 OR when x = 8. Both answers are correct!

Check:
8² + 8 = 72
64 + 8 = 72
Yes!!!

-9² -9 = 72
81 - 9 = 72
Yes!!!

Answer 3

x^2+x=72
x^2+x-72 = 0
x^2 +9x - 8x - 72 = 0
x(x+9) -8(x+9) = 0
(x-8)(x+9) = 0
x = 8 or -9
hope this helps

Answer 4

x+x^2 = 72

subtract 72 from both sides

x^2 + x - 72 = 0

Factor the equation and you should have it.