check for extraneous solutions. 0, 7^4 2^4, inside the equation x^5/6 = 9x^7/12 - 14x^1/3
2 answers
the solutions you plug in are 0, 7^4, and 2^4
well, 0 obviously works
(2^4)^5/6 = 2^10/3 = 2^3*2^1/3 = 8*2^1/3
9(2^4)^7/12 = 9*2^7/3 = 36*2^1/3
14(2^4)^1/3 = 14*2^4/3 = 28*2^1/3
8=36-28
looks good to me
You can check 7^4 in a similar manner.
(2^4)^5/6 = 2^10/3 = 2^3*2^1/3 = 8*2^1/3
9(2^4)^7/12 = 9*2^7/3 = 36*2^1/3
14(2^4)^1/3 = 14*2^4/3 = 28*2^1/3
8=36-28
looks good to me
You can check 7^4 in a similar manner.
2 answers