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How can you determine whether a polynomial equation has imaginary solutions?
To determine whether a polynomial equation has imaginary solutions, you must first identify what type of equation it is. If it is a quadratic equation, you can use the quadratic formula to solve for the solutions. If the equation is a cubic or higher order polynomial, you can use the Rational Root Theorem to determine if there are any imaginary solutions. The Rational Root Theorem states that if a polynomial equation has rational solutions, they must be a factor of the constant term divided by a factor of the leading coefficient. If there are no rational solutions, then the equation has imaginary solutions. To use the Rational Root Theorem, first list out all the possible rational solutions. Then, plug each possible rational solution into the equation and see if it is a solution. If there are any solutions, then the equation has imaginary solutions. If not, then there are no imaginary solutions.
Cauchy problem for first order partial differential equation?
There is a theorem called the Cauchy-Kowalevski theoremwhich deals with the existence of solutions to a system of mdifferential equation in n dimensions when the coefficients are analytic functions. I am guessing this is what you are asking about. A special case of this theorem was proved by Cauchy alone.The theorem talks about the local existence of a solution.Since this is a complicated topic, I will provide a link.
Did anyone oppose to the pythgreom theorm?
Although the Pythagorean theorem (sums of square of a right angled triangle) is called a theorem it has many mathematical proofs (including the recent proof of Fermats last theorem which tangentially also prooves Pythagorean theorem). In fact Pythagorean theorem is an 'axiom', a kind of 'super law'. It doesn't matter if anyone does oppose it, it is one of the few fundamental truths of the universe.
What math equation did sonya kovalskaya figure out?
She did not figure out a particular equation but found the set of conditions under which solutions to a class of partial differential equations would exist. This is now known as the Cauchy-Kovalevskaya Theorem.
What is the basic of Fermat's last Theorem?
The basis for Fermat's Last Theorem was Pythagoras's theorem. The latter showed that in any right angled triangle, the lengths of the sides satisfies a^2 + b^2 = c^2. In particular, that there are integer solutions to the equation: such as {3, 4, 5} or {5, 12, 13}. Fermat's theorem proved that there were no non-trivial solutions for a^n + b^n = c^n for any positive integers a, b, c and n where n > 2
What is fermats last theorem?
Fermat's Last Theorem is sometimes called Fermat's conjecture. It states that no three positive integers can satisfy the equation a*n + b*n = c*n, for any integer n greater than two.
What was not a feat of chinggis khan?
Solving Fermats theorem.
How can you determine whether a polynomial equation has imaginary solutions?
To determine whether a polynomial equation has imaginary solutions, you must first identify what type of equation it is. If it is a quadratic equation, you can use the quadratic formula to solve for the solutions. If the equation is a cubic or higher order polynomial, you can use the Rational Root Theorem to determine if there are any imaginary solutions. The Rational Root Theorem states that if a polynomial equation has rational solutions, they must be a factor of the constant term divided by a factor of the leading coefficient. If there are no rational solutions, then the equation has imaginary solutions. To use the Rational Root Theorem, first list out all the possible rational solutions. Then, plug each possible rational solution into the equation and see if it is a solution. If there are any solutions, then the equation has imaginary solutions. If not, then there are no imaginary solutions.
Who is person who is solving Fermat?
Andrew Wiles solved/proved Fermats Last Theorem. The theorem states Xn + Yn = Zn , where n represents 3, 4, 5,......... there is no solution.
How many real solutions does a cubic equation have?
A cubic has from 1 to 3 real solutions. The fact that every cubic equation with real coefficients has at least 1 real solution comes from the intermediate value theorem. The discriminant of the equation tells you how many roots there are.
Solve x cubed plus y cubed equals z cubed?
The equation x^3 + y^3 = z^3 is known as Fermat's Last Theorem, which states that there are no integer solutions for x, y, and z when the exponent is greater than 2. This theorem was famously proven by mathematician Andrew Wiles in 1994 after centuries of attempts. Therefore, there are no whole number solutions to the equation x^3 + y^3 = z^3.
What is the fermat last theorem?
That there are no whole number solutions to the equation: xn + yn = zn when n > 2. If n = 2 this is: x2 + y2 = z2 is known as Pythagoras' Theorem, and has many whole number solutions, eg 32 + 42 = 52, 52 + 122 = 132.
Cauchy problem for first order partial differential equation?
There is a theorem called the Cauchy-Kowalevski theoremwhich deals with the existence of solutions to a system of mdifferential equation in n dimensions when the coefficients are analytic functions. I am guessing this is what you are asking about. A special case of this theorem was proved by Cauchy alone.The theorem talks about the local existence of a solution.Since this is a complicated topic, I will provide a link.
Did anyone oppose to the pythgreom theorm?
Although the Pythagorean theorem (sums of square of a right angled triangle) is called a theorem it has many mathematical proofs (including the recent proof of Fermats last theorem which tangentially also prooves Pythagorean theorem). In fact Pythagorean theorem is an 'axiom', a kind of 'super law'. It doesn't matter if anyone does oppose it, it is one of the few fundamental truths of the universe.
What math equation did sonya kovalskaya figure out?
She did not figure out a particular equation but found the set of conditions under which solutions to a class of partial differential equations would exist. This is now known as the Cauchy-Kovalevskaya Theorem.
What is the equation for Pythagoras theorem?
The equation for the Pythagoras Theorem is written as: a2 + b2 = c2. The theory of this equation is to provide analysis of the sum of squares from 2 different sides.
What is the basic of Fermat's last Theorem?
The basis for Fermat's Last Theorem was Pythagoras's theorem. The latter showed that in any right angled triangle, the lengths of the sides satisfies a^2 + b^2 = c^2. In particular, that there are integer solutions to the equation: such as {3, 4, 5} or {5, 12, 13}. Fermat's theorem proved that there were no non-trivial solutions for a^n + b^n = c^n for any positive integers a, b, c and n where n > 2
