You get a bonus - 1 coin for daily activity. Now you have 1 coin

Modified and generalized equations of the fourth degree

Lecture



ax 4 + bx 3 + cx 2 - bx + a = 0. - Modified return equation.

To solve this equation, it is necessary to make a replacement:
y = x - 1 / x,
as a result, we get a quadratic equation:
ay 2 + by + c + 2a = 0.

A fourth-degree generalized return equation reduces to a quadratic equation by substitution Modified and generalized equations of the fourth degree . Among all the equations of the fourth degree Modified and generalized equations of the fourth degree these equations are distinguished by the fact that for their coefficients the following relationship holds true:

Modified and generalized equations of the fourth degree

see also

return equation

algebraic equation

See also

created: 2014-10-05
updated: 2024-11-14
440



Rating 3 of 10. count vote: 2
Are you satisfied?:



Comments


To leave a comment
If you have any suggestion, idea, thanks or comment, feel free to write. We really value feedback and are glad to hear your opinion.
To reply

HANDBOOK ON MATHEMATICS, SCHOOL MATHEMATICS, HIGHER MATHEMATICS

Terms: HANDBOOK ON MATHEMATICS, SCHOOL MATHEMATICS, HIGHER MATHEMATICS