SOLUTION: A friend of mine told me that if you need help with algebra this was the website to submit your question. I am confused on what steps to take the get the final answer. If someone c

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Question 362564: A friend of mine told me that if you need help with algebra this was the website to submit your question. I am confused on what steps to take the get the final answer. If someone could be so kind as to show me what to do, I would be appreciate it. I know it's time consuming, but could you please work the problem in all vital steps (maybe with some direction) so I know how to complete the next series that I have to do for my assignment?
11.4, #9
Directions: Solve the equation by making an appropriate substitution.
x^(-2)+〖8x〗^(-1)=-10 (should be x - squared, and 8x to -1 power)

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
(should be x - squared, and 8x to -1 power)
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Sub y for x^-1

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=24 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -1.55051025721682, -6.44948974278318. Here's your graph:

----------------
The solutions shown are for y.
y = -4 ± sqrt(6)
1/x = = -4 ± sqrt(6)
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x = 1/(-4 + sqrt(6))
x = (-4 - sqrt(6))/(16 - 6)
x = (-4 ± sqrt(6))/10
=========================
Substitution is not the best method, tho.

Multiply thru by x^2


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=24 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -0.155051025721682, -0.644948974278318. Here's your graph:

----------------
Simpler, less work, less time.
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