Question

If a number is increased by its square, the result is 72. Find the number.

Answer 1

Consider writing out exactly that in an equation form as "a number" being "x". "the result is" as "="

Answer 2

let x be that number
a number increased by its square is x + x^2 = 72
x^2 +x - 72 = 0
(x+9)(x-8) = 0
equate each factor to zero then solve for x

Answer 3

x+x^2=72 sfx

Answer 4

@mathwhiz99 has already explained it pretty well.

Answer 5

Yup, he did!

Answer 6

If a number is increased by its square, the result is 72. Find the number.
( x )
( + )
( x^2 )
( = 72)

x+x^2=72

Answer 7

the answer is 8

Answer 8

Congratulations.

Answer 9

and -9