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Types of algebraic equations

Lecture





ax + b = 0. - Linear equation.

ax 2 + bx + c = 0. - Quadratic equation.

ax 3 + bx 2 + cx + d = 0. - Cubic equation.

ax 4 + bx 2 + c = 0. - Biquadratic equation.

ax 4 + bx 3 + cx 2 + bx + a = 0. - Returnable (algebraic) equation.

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

ab 2 x 4 + bx 3 + cx 2 + dx + ad 2 = 0. - Generalized return equation.

ax 4 + bx 3 + cx 2 + dx + e = 0. - Equation of fourth degree of general form.

x n - a = 0. - A two - term algebraic equation of the nth degree.

ax 2 n + bx n + c = 0. - Special case of the equation

a o x 2n + a 1 x 2n? 1 + a 2 x 2n? 2 + ... + a 2 x 2 + a 1 x + a 0 = 0. - Return (algebraic) equation.

a n x n + a n-1 x n-1 + ... + a 1 x + a 0 = 0. - Algebraic equation of the n-th degree of general form.

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HANDBOOK ON MATHEMATICS, SCHOOL MATHEMATICS, HIGHER MATHEMATICS

Terms: HANDBOOK ON MATHEMATICS, SCHOOL MATHEMATICS, HIGHER MATHEMATICS