Question

Multiply. State any restrictions on the variable. What are the restrictions on the variable? 2. What are the restrictions on the variable? x ≠ ________.B. There are no restrictions on x.

Answer 1

To simplify the equation;

`(x^2-13x+40)/(x^2-25)*(x^2+6x+5)/(x^2-7x-8)=1`
`((x-5)(x-8))/((x-5)(x+5))*((x+5)(x+1))/((x-8)(x+1))=1`

Equating the denominators to zero;

`x+5=0\text{ ie x=-5}`
`x-8=0\text{ ie x=8}`
`\begin{gathered} x-5=0\text{ ie x=5} \\ x+1=0\text{ ie x=-1} \end{gathered}`
`Hence,x\\e-1,-5,5,8`