If f(x) = 6/x-1
for what value of x does f(x) = 5 ?

x=1

Step-by-step explanation:

Solution,

f(x) = 6/x-1

When f(x)=5, then

f(x) = 6/x-1

5 = 6/x-1

5+1=6/x-1+1

6=6/x

Now by cross multiplication, we get

6×x=6

6x=6

6x/6=6/6

x=1

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.