Question

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

Answer 1

Answer: $x = -3$

Step-by-step explanation:

Let the number be x , that means the square of x = $x^{2}$.

4 is subtracted from the square of a number, the result is 5 times the number implies :

$x^{2} -24=5x$

re - arranging , we have

$x^{2} -5x-24 = 0$

factorizing the quadratic expression , we have :

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

either $x- 8 = 0$ or $x + 3 = 0$

Therefore:

$x = 8$ or $x = -3$

Therefore , the negative solution is -3

Answer 2

Answer:

-3.

Step-by-step explanation:

If the number is x we have:

x^2 - 24 = 5x

x^2 - 5x - 24 = 0

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

x = 8, -3

The negative solution is -3.