How to Know an Equation Has Infinite Solutions?

Equations with infinite solutions are commonly known as identity equations. An identity equation is formally defined as an equation that holds true for every single value of the variable. Essential... Read More »
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How to Prove a Conjecture With Infinite Solutions?

Proving something true for an infinite number of situations poses some obvious problems: How do you check all those cases? How do you know there is a case you never thought of? If you are talking a... Read More »
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How to Perform Simultaneous Equation Solutions?

Often, in higher-level algebra courses, you will have to solve simultaneous equations, or equations of at least two variables that must be true at the same time. Regardless of the number of variabl... Read More »
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How to Find All Real Solutions of an Equation?

Frequently, in Algebra class, you will be called to find all "real solutions" of an equation. Such questions essentially are asking you to find all solutions of an equation, and should any imaginar... Read More »
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How to Know If a Quadratic Equation Will Have One, Two or Three Answers?

A quadratic equation can have three different types of solutions for its roots or answers. The first type of solution is a single real root, the second type has two different real roots, and the th... Read More »

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