Equations are fundamental to mathematics, expressing relationships between quantities and enabling problem-solving across disciplines. They vary from simple linear equations to complex polynomial ones and are used in fields like physics for motion, economics for cost analysis, and biology for modeling phenomena. Understanding and solving these equations is key to advancing science and technology.
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1
The main objective in dealing with equations is to determine the ______ of variables that satisfy the equation.
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2
Role of equations in proofs
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3
Principle of equivalence
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4
In mathematics, ______ equations are known for their straight-line graphs and indicate a proportional link between two variables.
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5
______ equations are second-degree polynomials that produce ______ graphs and can have either real or complex solutions.
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6
Components of algebraic equations
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7
Purpose of algebraic equations
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8
Use of numerical equations
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9
To solve systems of ______ equations, one can use substitution, elimination, or ______ analysis.
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10
______ equations, which link functions with their derivatives, can be solved by ______ of variables or integration.
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11
Differential Equations Usage
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12
Linear Equations in Economics
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13
Quadratic Equations in Physics
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