When 24 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

Answer 1

Translations this from English to math

24 subtracted from the square of a number is x^2 -24 which is equal to 5 times a number (5x)

So we have x^2 -24 = 5x

x^2 -5x -24=0

(x-8) (x+3) = 0

x=8 x=-3.

The negative solution is -3

Lets check and see if this is right by substituting (-3) for x in our original equation

(-3)^2 -24 =5(-3)

9 -24 = 15

-15 = -15 so this answer is correct