1. Polynomial Equations

Polynomial equations are in the form P(x) = 0, where P(x) is a polynomial.

Types of Polynomial Equations

1.1 Linear Equations

Linear equations are equations of the type ax + b = 0, with a ≠ 0, or any other equation in which the terms can be operated and simplified into an equation of the same form.

(x + 1)² = x² - 2

x² + 2x + 1 = x² - 2

2x + 1 = -2

2x + 3 = 0

1.2 Quadratic Equations

Quadratic equations are equations of the type ax² + bx + c = 0, with a ≠ 0.

Incomplete quadratic equations

ax² = 0

ax² + bx = 0

ax² + c = 0

1.3 Cubic Equations

Cubic equations are equations of the type ax³ + bx² + cx + d = 0, with a ≠ 0.

1.4 Quartic Equations

Quartic equations are equations of the type ax4 + bx³ + cx² + dx + e = 0, with a ≠ 0.

Biquadratic Equations

Biquadratic equations are quartic equations that do not have terms with an odd degree.

ax4 + bx² + c = 0, with a ≠ 0.

2. Rational Polynomial Equations

The rational polynomial equations are of the form , where P(x) and Q(x) are polynomials.

3. Irrational Polynomial Equations

The irrational equations are those that have at least a polynomial under the radical sign.

4. Transcendental Equations

The transcendental equations are equations that include transcendental functions.

4.1 Exponential Equations

Exponential equations are equations in which the unknown appears in the exponent.

4.2 Logarithmic Equations

Logarithmic equations are equations in which the unknown is affected by a logarithm.

4.3 Trigonometric Equations

Trigonometric equations are the equations in which the unknown is affected by a trigonometric function.

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.

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