Answer:
The negative solution is -2
Step-by-step explanation:
Let the number be x
From the question we can deduce the equation below;
[tex]x^{2}- 16 = 6x[/tex]
Solving the quadratic equation by factorization;
[tex]x^{2}- 16 - 6x = 0[/tex]
[tex]x^{2} - 6x - 16 = 0[/tex]
the factors of the quadratic equation are -8 and 2
[tex]x^{2} - 8x + 2x - 16 = 0[/tex]
x(x-8)+2(x-8)=0
(x+2)(x-8)=0
Therefore, x = -2 or 8
The negative solution is -2.
PROOF;
[tex]x^{2}- 16 = 6x[/tex]
[-2]^2 - 16 = 6(-2)
4 - 16 = -12
-12 = -12
