SOLUTION: I appreciate a respond "If {{{x+1/x=8}}}, what is the value of {{{x^4+1/x^4}}}? "

Question 201440: I appreciate a respond "If , what is the value of ? "

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
"If , what is the value of ? "
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Multiply thru by x

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=60 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 7.87298334620742, 0.127016653792583. Here's your graph:

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