Use the method described in Exercises 83–86, if applicable, and p...

Question

Use the method described in Exercises 83–86, if applicable, and properties of
absolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 can
be solved by inspection.) | 4x^2 - 23x - 6 | = 0

Accepted Answer

Hello everyone. We're going to solve the equation. The absolute value of two X squared minus seven. X minus nine equals zero because of equal zero. We do not need to set up two separate equations. We are just going to work with two X squared minus seven. X minus nine equals zero. If zero had an opposite we would have to set up a second equation since it does not we don't. So I'm gonna see if I think this is factory bubble as if it's fact arable, that'll save us a couple of steps and it looks like it is, it looks like we can do two x - Times X-plus one and that should give us what we need, yep it does. Alright so now to solve this I'm going to set each set of parentheses equal to zero. So two x -9 equals zero and X plus one equals zero solving it. Two X minus nine equals zero. I had nine to both sides. two x equals nine, dividing by two. I have x equals 9/2. And on the other half X plus one equals zero. I subtract one from both sides and I get x equals negative one. So those are my two solutions x equals negative one And x equals 9/2. And looking at this it looks like that is answer choice D negative one and nine halves have a nice day

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Use the method described in Exercises 83–86, if applicable, and properties of absolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 can be solved by inspection.) | 4x^2 - 23x - 6 | = 0