# Equations

What is an equation? And how do you solve equations involving polynomials, square roots, trigonometric functions and exponential functions?

### Context: Holland Particle Therapy Centre

This video shows proton therapy and the Holland Particle Therapy Centre as a context to explain the importance of equations. It gives a simplified explanation of how a CT scan works and generates equations.

### Equations involving polynomials

How do you solve an equation involving polynomials of degree 1 and 2? This video shows you how! For degree 2 you will see how you can factorize, use the quadratic formula or complete the square.

### Equations involving polynomials - part 2

How do you solve an equation involving polynomials of degree 3 and higher? This video shows you that there is no general method, but gives some tools.

### Equations involving fractions

How do you solve an equation containing fractions? This video shows you how to simplify, solve and check these equations.

### Equations involving square roots

How do you solve an equation containing square roots? This video shows you how to simplify, solve and check these equations.

### General techniques for equations

This video shows you general techniques to solve an equation! Simplify the equation, Solve it and Check your answers in the original equation!

### Summary about equations - part 1

What is an equation? How do you solve equations of polynomials, with fractions or roots? Simplify, Solve and Check! This video gives the summary of week 3 of the edX course: pre-university Calculus (Calc001x).

### Trigonometric equations

How do you solve an equation involving sine, cosine and tangent? Using the periodicity of the sine and cosine you can find all solutions!

### Equations involving exponentials and logarithms

How do you solve an equation containing exponentials and logarithms? Simplify the equation by changing to one base, possibly use substitution and reduce to a basic equation form.

### Solving inequalities

Solving an inequality means finding the answer to the question: For what input is the one function larger than the other?

### System of equations

How do you solve a system of equations? This video shows you how to do this using the substitution method!

### Summary about equations - part 2

How do you solve trigonometric equations (sine, cosine) and equations involving exponentials and logarithms? How do you solve an inequality or a system of equations? This video gives the summary of week 4 of the edX course: pre-university Calculus (Calc001x).

### Preview linear programming

This university preview discusses how you can optimize a situation using linear programming. Using the example of producing Delft Blue cups and tiles we try to find the optimal mix to maximize profit.