find the answer in terms of $a$ and $b$ only ($a, b$ are roots of $\ x^4 + x^3 - 1 = 0$
47949
If $a$ and $b$ are two roots of $x^4 + x^3 - 1 = 0$ prove that $ab$ is a root of $x^6 + x^4 + x^3 - x^2 - 1$.
117352
Show $x^n+ax+b=0$ has most two solutions
125057
How do I solve a problem with term $a^{n} + b^{n}$?
89705
How to solve $a_n = 2a_{n-1} + 1, a_0 = 0, a_1 = 1$?
87735
Prove that the roots $\in \Bbb R$ of $x^3+x+1=0$ aren't rational without RRT
145125
How to prove that $A^{-1} + B^{-1}$ is invertible given the conditions
66558
Find the value of $a$ and $b$ if $x+1$ and $x−2$ are factors of $ax^3−4x^2+bx−12$
66317
How to solve $z^3+z+1=0$?
26287
Find $\frac{a^2}{2a^2+bc}+\frac{b^2}{2b^2+ac}+\frac{c^2}{2c^2+ab}$ if $a+b+c=0$
103276
Solving an equation over the reals: $ x^3 + 1 = 2\sqrt[3]{{2x - 1}}$
134857
Find $(a,b)$ if $x^2-bx+a = 0, x^2-ax+b = 0$ both have distinct positive integers roots
116616
Could $X^3 + X + 1$ have a root in $E?$
110408
Solving for $A$ in $Ax = b$
56697
How to show that the given equation has at least one complex root ,a s.t |a|>12
121759
If this equation in x has real roots find the value of a and b.
135774
Alternating roots of $f(x) = \exp(x) \sin(x) -1$ and $\exp(x)\cos(x) +1$
153170
Find the number of solutions of the equation $e^{4x}+e^{3x}-4e^{2x}+e^x+1=0$