SOLUTION: Hi, i cant seem to solve (8/x)+(108/x^2)=96.88 ^2 = squared Can anybody help me with this please?

Question 174691: Hi, i cant seem to solve (8/x)+(108/x^2)=96.88
^2 = squared
Can anybody help me with this please?
Found 3 solutions by Alan3354, stanbon, jim_thompson5910:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Hi, i cant seem to solve (8/x)+(108/x^2)=96.88
-------------
Multiply thru by x^2
8x + 108 = 96.88x^2
Divide by 4, and put in standard form
24.22x^2 - 2x - 27 = 0

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=2619.76 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.09792714947549, -1.01535076632107. Here's your graph:

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
solve (8/x)+(108/x^2)=96.88
^2 = squared
I think you garbled your posting.
Cheers,
Stan H.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Multiply EVERY term by the LCD to clear out the fractions.

Simplify

Multiply both sides by 100 to make every number a whole number.

Subtract from both sides.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Simplify the square root (note: If you need help with simplifying square roots, check out this solver)

or Break up the expression.

So the answers are or

which approximate to or

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