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

Question

Kailey Barron

Mathematics

8 October, 09:04

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

+5

Answers (2)

Know the Answer?

Coy · Answer 1

Answer:-3

Step-by-step explanation:

let the number be X

X^2-24=5x

X^2-5X-24=0

X^2-8x+3x-24=0

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

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

X+3=0 or x-8=0

X=-3 or x=8

Therefore the negative value is - 3

Johanna Humphrey · Answer 2

Step-by-step explanation:

x² - 24 = 5x

x² - 5x - 24 = 0

x² - 8x + 3x - 24

Factorize

x (x - 8) + 3 (x - 8)

(x + 3) (x - 8)

x + 3 = 0 or x - 8 = 0

x = - 3 or x = 8

The negative solution is:

x = - 3