- #1
Jhenrique
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Dear!
Is possible to solution a polynomial of kind y = Ax^a + Bx^b ?
Thx!
Is possible to solution a polynomial of kind y = Ax^a + Bx^b ?
Thx!
I assume you are asking if it is possible to find the zeroes of y(x) = Ax^a + Bx^b, where a,b are real numbers?Jhenrique said:Dear!
Is possible to solution a polynomial of kind y = Ax^a + Bx^b ?
Thx!
Jorriss said:I assume you are asking if it is possible to find the zeroes of y(x) = Ax^a + Bx^b, where a,b are real numbers?
Jhenrique said:Dear!
Is possible to solution a polynomial of kind y = Ax^a + Bx^b ?
I count six: A, a, B, b, x, and y.glappkaeft said:You have sevens unknowns and one equation.
Jhenrique said:omg, my question is simple!
I would like to know if is possible to isolate the x variable in equation
[tex]f(x)=ax^{\alpha}+bx^{\beta}[/tex]
Citan Uzuki said:Yes, it's possible, and quite easy. Let us suppose that [itex]\alpha > \beta[/itex]. Let [itex]\zeta = e^{2\pi i/(\alpha - \beta)}[/itex] be a primitive root of unity. Then the polynomial factors as:
[tex]ax^\beta \prod_{k=1}^{\alpha - \beta} (x - \left( \frac{b}{a} \right)^{1/(\alpha - \beta)} \zeta^k)[/tex]
Mentallic said:He's not looking to factor the polynomial but rather to find the inverse [itex]f^{-1}(x)[/itex], I think...
Jhenrique said:omg, my question is simple!
I would like to know if is possible to isolate the x variable in equation
[tex]f(x)=ax^{\alpha}+bx^{\beta}[/tex]
A polynomial of unknown degree is an algebraic expression that contains variables, constants, and coefficients, and the degree of the polynomial is not specified. This means that the highest power of the variable is not known.
The first step in solving a polynomial of unknown degree is to gather all like terms and simplify the expression. Then, try to factor the polynomial by finding common factors. If the polynomial cannot be factored, you can use the quadratic formula or other methods to solve for the variable.
Yes, a polynomial of unknown degree can have multiple solutions. This is because the degree is not specified, so there can be more than one value for the variable that satisfies the equation.
Some common techniques for solving a polynomial of unknown degree include factoring, using the quadratic formula, completing the square, and using the rational root theorem. These techniques can help to find the solutions for the variable in the polynomial equation.
Yes, a polynomial of unknown degree can have imaginary or complex solutions. This can happen when the polynomial cannot be factored and requires the use of the quadratic formula, which can result in complex solutions. It is important to check the solutions to see if they are real or complex.