solution in radicals造句

This solution in radicals involves the imaginary number \ sqrt and hence involves the cube roots of complex conjugate numbers.
Analogously to cubic equations, there are solvable quintics which have five real roots all of whose solutions in radicals involve roots of complex numbers.
Galois theory, named after 蓈ariste Galois, showed that some equations of at least degree 5 do not even have an idiosyncratic solution in radicals, and gave criteria for deciding if an equation is in fact solvable using radicals.
However, the quotient group } ( isomorphic to itself ) is not simple and non-abelian, and hence not solvable, it also says that the general polynomials of all degrees higher than the fifth also have no solution in radicals.
involve two variables, " d " 1 and " d " 0, however the reduction is actually to an algebraic function of one variable, very much analogous to a solution in radicals, since we may further reduce the Bring & ndash; Jerrard form.
It's difficult to find solution in radicals in a sentence. 用solution in radicals造句挺难的

The solution in radicals ( without trigonometric functions ) of a general cubic equation contains the square roots of negative numbers when all three roots are real numbers, a situation that cannot be rectified by factoring aided by the rational root test if the cubic is irreducible ( the so-called casus irreducibilis ).
An "'algebraic solution "'or "'solution in radicals "'is a closed form expression, and more specifically a closed-form algebraic expression, that is the solution of an algebraic equation in terms of the coefficients, relying only on addition, subtraction, multiplication, division, raising to integer powers, and the extraction of nth roots ( square roots, cube roots, and other integer roots ).