contestada

Kent multiplies both sides of the equation below by an expression. k+12/k=8 Then he moves all the terms to one side of the equal sign in the resulting equation. Which equation must he solve now?

Respuesta :

mergl
(k+12)/k=8
(k+12)=8k
12=8k-k
12=7k
12/7=k

Answer:

The required equation is [tex]k^2-8k+12=0[/tex].

Step-by-step explanation:

The given equation is

[tex]k+\frac{12}{k}=8[/tex]

Multiply both sides by k.

[tex]k^2+12=8k[/tex]

Subtract 8k from both sides to move all the terms to one side of the equal sign.

[tex]k^2+12-8k=8k-8k[/tex]

[tex]k^2-8k+12=0[/tex]

Therefore the required equation is [tex]k^2-8k+12=0[/tex].