For the first question, you can denote t = (x^4 - 1)^3. Then you will get a quadratic equation in t.
For the rest, what have you tried and what difficulties are you having?
leave answer in radical form. Show all work please.
solve : x-5(sqrtx)+6=0 by factoring left side directly (no substitution)
solve : same question but this time isolate the radical and then squaring each side
Thank you so much
You can factor this, for example, by completing the square. Namely, . Find what must go instead of ... and represent that number as a square, i.e., for some number . Then .x-5(sqrtx)+6
This tells you what to do. If you have difficulty proceeding, post the result after isolating the radical and then squaring each side.same question but this time isolate the radical and then squaring each side