Question

solve for x, where x is a real number:
x4−1/x3=0

Answer 1

\[x^4-1/x^3 = 0\]

Answer 2

Solve for x over the real numbers:
-1/x^3+x^4 = 0
Write the left hand side as a single fraction.
Bring x^4-1/x^3 together using the common denominator x^3:
(-1+x^7)/x^3 = 0
Multiply both sides by a polynomial to clear fractions.
Multiply both sides by x^3:
-1+x^7 = 0
Isolate terms with x to the left hand side.
Add 1 to both sides:
x^7 = 1
Elminate the power on the left hand side.
Take 7^th roots of both sides:
Answer: |
| x = 1