SOLUTION: answer for this problem x+7/x=8

Question 72062: answer for this problem x+7/x=8
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Since the heading on your problem indicates you are working on quadratic equations,
I interpret your problem as being:
.

.
You can convert this to a quadratic equation by multiplying both sides of this equation
by x to get:
.

.
Then subtract 8x from both sides to get:
.

.
This could be solved using the quadratic formula, but it is easier to solve this by noting
that this quadratic equation factors into:
.

.
(You can check by multiplying and satisfy yourself that the result is
.

.
This equation will be true if either of the factors equals zero because any multiplier
that equals zero on the left side causes the entire left side to be zero and that makes
it equal to the right side.
.
So, all we need to do is solve:
.

.
and
.

.
The two solutions to these equations are and and these two values
for x will each satisfy the quadratic equation .
.
Hope this helps you to understand how to do quadratic equations that can be factored.

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