Introduction
This exercise includes a series of mathematical problems related to solving equations. The exercises are from the 10-11 age group and include problems 16, 17, and 27.
Ecuaciones Bicuadradas
Ecuaciones Bicuadradas are a type of quadratic equation in which the highest power of the variable is the fourth power. An example of such an equation is x^4-13x²+36 = 0.
T² = XY (x²)² is an example of applying a factorization method to solve an ecuacion bicuadrada. In this example, the equation T = x² is verified with the value X=4.
Ecuaciones Racionales
Ecuaciones Racionales are equations that contain a variable in the denominator. To solve these types of equations, it is necessary to treat them as algebraic fractions.
An example of solving an ecuacion racional is T²-13T+36=0, which is verified using various calculations to find the value of X.
Ecuaciones Polinómicas de Grado Mayor Que Dos
Ecuaciones Polinómicas de Grado Mayor Que Dos refer to equations that are, or can be converted into, a polynomial equation equal to zero.
An example of solving such an equation is x²-x²-12-0, and it involves various computations to find the values of X.
These exercises cover a range of equations and are designed to provide practical examples of solving different types of equations.
Ecuaciones Irracionales
Another type of equation, Ecuaciones Irracionales, involves solving an equation with the variable under the radical sign. An example of this type of equation is √2x-3/√x+7-4-√2x-3, which involves manipulation to find the value of X.
This set of exercises provides a comprehensive overview of various types of equations and their solutions, offering a practical learning experience for students.