SOLUTION: 16x2 - 16x + 4 > 0 Solve each rational inequality. State and graph the solution set.

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Question 118879This question is from textbook Elementary and Intemediate Algebra
: 16x2 - 16x + 4 > 0 Solve each rational inequality. State and graph the solution set. This question is from textbook Elementary and Intemediate Algebra

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

…..divide both sides by
…..
Solve it as an first:
…..
Use quadratic formula to solve for








…………there is only one solution





So, your solution will be:

or (,)

Graph it, and everything to the right from
excluding


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=0 is zero! That means that there is only one solution: .
Expression can be factored:

Again, the answer is: 0.5, 0.5. Here's your graph:


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