SOLUTION: Solve the equation: x^-2

SOLUTION: Solve the equation: x^-2 - 15x^-1 + 44 = 0

Question 144509: Solve the equation:
x^-2 - 15x^-1 + 44 = 0
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!

Multiply 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=49 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.25, 0.0909090909090909. Here's your graph:

x = 0.25, x=1/11
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