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LESSON5.2NameSolving LinearQuadratic EquationsClass5.2DateSolving LinearQuadratic SystemsEssential Question: How can you solve a system composed of a linear equation in two variables and a quadratic
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To fill out linear-quadratic, follow these steps:
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Identify the given equation as a linear-quadratic equation, which is in the form of ax^2 + bx + c = 0.
03
Note down the values of coefficients 'a', 'b', and 'c' from the equation.
04
Use the quadratic formula x = (-b ± √(b^2 - 4ac))/(2a) to find the values of 'x' that satisfy the equation.
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Substitute the calculated values of 'x' into the equation and simplify to check if they indeed satisfy the equation.
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Record the solutions for 'x' obtained from the quadratic formula.

Who needs linear-quadratic?

01
Linear-quadratic equations are primarily used in mathematics and physics.
02
Some specific applications include:
03
- Engineers and architects use linear-quadratic equations to solve problems related to motion, forces, and harmonic oscillations.
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- Economists and financiers use them for modeling economic growth, investment return calculations, and optimization problems.
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- Scientists and researchers use these equations to analyze complex systems and phenomena, such as population dynamics or chemical reactions.
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- Any individual studying mathematics or interested in understanding the relationship between variables can benefit from learning and applying linear-quadratic equations.
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Linear-quadratic is a mathematical model that combines both linear and quadratic functions.
Organizations or individuals who are using linear-quadratic models in their research or analysis may be required to file linear-quadratic reports.
Linear-quadratic forms can be filled out by inputting the appropriate coefficients and variables for the linear and quadratic functions.
The purpose of linear-quadratic is to create a model that captures both the linear relationships and the non-linear relationships between variables.
Linear-quadratic reports typically include the coefficients for the linear and quadratic terms, as well as any relevant variables and data points.
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