Question

What are the solutions to the equation x-7/x = 6

Answer 1

x = - 1

Explanation:

`(x-7)/(x)=6\\ \\x-7=6x\\\\-7=6x+x\\\\7x=-7\\\\x=-1`

Answer 2

Answer:x=-7 Or x=-1

Explanation:

x-7/x=6

(x^2-7)/x=6

Collect like terms

x^2-7=6x

Arrange the quadratic equation

x^2-6x-7=0

x^2+x-7x-7=0

x(x+1)-7(x+1)=0

(x-7)(x+1)=0

x-7=0. x+1=0

x=7 x=-1