Find The Number whose Square Is 24 More Than 5 Times The Number.?

Question

How Do U Do This

Answer 1

x^2=5x+24
x^2-5x-24=0
(x+3)(x-8)=0

x=-3 and x=8

Answer 2

x^2 = 24 + 5x, or x^2 - 5x + 24 factors to (x - 8)(x + 3). So, the answers are 8 and -3.

To check this:

8^2 = 64 = 24 + 5 * 8

(-3)^2 = 9 = 24 + (-3) * 5

Answer 3

First thing, let's say the number is x

x^2 = 5x + 24
x^2 - 5x - 24 = 0
(x-8) (x+3) = 0

So, we have two probabilities:
First probability : x = 8
Second probability: x = -3

Let's check the first:
8^2 = 5*8 + 24
64 = 40 +24
64 = 64
PROVEN

Let's check the second:
(-3)^2 = 5*(-3) + 24
9 = (-15) + 24
9 = 9
PROVEN

So, the number can be either 8 or (-3)

Answer 4

x^2 = 5x + 24 >>>>
x^2 - 5x - 24 = 0
and then you have to factor it out and you get x = 8 or -3

Answer 5

n - the number

n^2 = 24 + 5n

now solve the quadratic equation to get n...