Exercises 177–179 will help you prepare for the material covered ...

Question

Exercises 177–179 will help you prepare for the material covered in the next section.

If - 8 is substituted for x in the equation 5x^(2/3) + 11x^(1/3) + 2 = 0, is the resulting statement true or false?

Accepted Answer

So this problem says if X equals to 1012 X to the one third minus exit, two thirds spanish 20 equals zero. If you want to see if this is true or false. Let's go ahead and write it up everywhere where there's an X. I'm gonna replace this with 1000. So we have 12 times 1000 to the one third minus 1000 To the 2/3 -20 equals zero. Let's go ahead and simplify our exponents. 1000 to the one third. We can put this in the calculator That will give us times 10. Now we have -1000 to the two thirds. We can put this in the calculator again That gets us finally minus 20 and then equals zero. So we can simplify this even further. 12 times 10 is 1 20. We have -100 -20 equals zero At the end. We should get zero equals zero once you simplify all the subtraction on the left side. So these do equal each other which means this answer is true. Okay I hope to help you solve the problem. Thank you for watching. Goodbye

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