How to solve quartic equations Solve a quartic equation Factorization Bezout's theorem long division

Опубликовано: 01 Октябрь 2026
на канале: Подслушано по Математике
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How to solve a 4-degree equation?
How to determine if an equation is truly fourth-degree?
How to make substitutions in an equation?
How to determine the type of equation    • Как решать уравнения всех видов Решите ура...  

00:13 How to distinguish and solve a 4th degree equation
01:36 Equation 1) x^4=16 and x^4=-16
04:32 Equation 2) x^4+7x^2-8=0
08:26 Equation 3) x^4+3x^3-x-3=0
23:49 Equation 4) x^4+3x^3-13x^2-9x+30=0
38:08 Equation 5) 4(x-2)^4+3(x-2)^2-1=0
44:00 Equation 6) (x^2-5x+4)(x^2-5x+6)=120
50:11 Equation 7) (x^2-25)^2+(x^2+3x-10)^2=0
54:18 Equation 8) (4x^2-1)^2-(2x^2+x-1)^2=0
01:12:13 Equation 9) x^4=(4x-5)^2
01:18:32 Equation 10) (x^2-3)^2=5-x^2
01:22:20 Solve it yourself - 5 equations for practice

How to determine the type of an equation    • Как решать уравнения всех видов Решите ура...  
1) Linear equation    • Как решать линейные уравнения Решите уравн...  
2) Quadratic equation    • Как решать квадратные уравнения Решите ура...  
3) Cubic equation    • Как решать кубические уравнения Решите ура...  
4) Equation of degree 4    • Как решать уравнения 4 степени Решите урав...  
5) Product of elements = 0    • Как решать уравнение со скобками Уравнение...  
6) Product of elements = expression    • Как решать уравнение со скобками Уравнение...  
7) Fraction = 0    • Как решать уравнение с дробями Уравнение в...  
8) Fraction = expression    • Как решать уравнение с дробями Уравнение в...  
9) With a root - irrational equation    • Как решать уравнение с корнями Иррациональ...  
10) Equation with absolute value    • Как решать уравнение с модулем Уравнение с...  
11) x to the power - exponential equation
12) with log - logarithmic equation
13) Trigonometric equation
14) Mixed equation

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