You can put this solution on YOUR website! Hi, Hope I can help,
.
Solve and check each of the following for X:
A:
B:
.
First we will solve equation A
.
A:
.
First, you have to get the same denominator for all the fractions, you have to change to
.
Now we can put in place of in the equation
.
A:
.
Now we can subtract on the left side
.
A:
.
Now we will use cross multiplication to get rid of the fractions
.
.
Now we will multiply the both sides
.
.
Now we can solve for "x"
.
.
.
.
x = "5"
We can check by replacing "x" with "5" in the original equation
.
A:
.
A:
.
W have to change to again
.
A:
.
A:
.
A:
.
The answer to Equation A: is "5"
.
Now we will solve equation B
.
B:
.
You don't have to change the right side, but you need to change to
. has factors of (x+1) and (x+6) (the factors of 6 add up to 7)
.
We need to multiply by to make the same denominator
.
B:
.
Now we need to multiply 5(x+1)
.
B:
.
Now we can add the left side
.
B:
.
B:
.
Now we will multiply the right side using the distributive property
.
B:
.
Now we will use cross multiplication
.
.
It will end up to be
.
.
We will now put everything on one side
.
.
.
It is a cubic equation, the best way to get the answer is to use a cubic equation calculator on the computer. ( You can't really memorize the cubic equation formula, because it is way to big, and complicated)
.
The three answers to equation "B" are rounded to
.
x(1) = -0.47075530247265
x(2) = -6.29117730768554
x(3) = -1.2380673898418
.
Hope I helped, Levi
(