Solve the following equation quadratic in form:

Mathematics
Tutor: None Selected Time limit: 1 Day

x2/3 - 9x1/3 + 8 = 0

A. {1, 219}

B. {1, 328}

C. {1, 129}

D. {1, 512}

May 21st, 2015
Let x^(1/3) = y

So the given equation is: y² - 9y + 8 = 0
Factorizing (y - 8)*(y - 1) = 0;
So either y = 8 or y = 1

When y = 8, x^(1/3) = 8
Taking cube power on both sides, x = 512.

When y = 1, x^(1/3) = i; ==> x = 1

Thus x = {1, 512}
So choice D


May 21st, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
May 21st, 2015
...
May 21st, 2015
Feb 22nd, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer