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What is an Equation? Video Lecture | Mathematics for ACT

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FAQs on What is an Equation? Video Lecture - Mathematics for ACT

1. What is an equation?
An equation is a mathematical statement that shows the equality between two expressions. It contains an equal sign (=) and may contain variables, constants, and mathematical operations.
2. How do you solve an equation?
To solve an equation, you aim to find the value(s) of the variable(s) that make the equation true. You can solve an equation by performing operations on both sides of the equation to isolate the variable. This typically involves simplifying, rearranging terms, and applying inverse operations.
3. What are the different types of equations?
There are various types of equations, including linear equations, quadratic equations, polynomial equations, exponential equations, logarithmic equations, and trigonometric equations. Each type has its own characteristics and methods for solving.
4. Can an equation have multiple solutions?
Yes, an equation can have multiple solutions, depending on the equation's nature and degree. For example, a quadratic equation can have two, one, or no real solutions. Similarly, a polynomial equation can have multiple solutions, which may include real and complex numbers.
5. How are equations used in real-life applications?
Equations are used in a wide range of real-life applications, such as physics, engineering, economics, and finance. They help model and solve problems involving quantities, relationships, and unknowns. For instance, equations can be used to calculate distances, determine optimal solutions, predict outcomes, and analyze data.
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