Graduate Management Admission Test (GMAT) Practice Test

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Prepare for the GMAT exam with flashcards and multiple choice questions. Each question includes hints and explanations. Enhance your readiness and boost your confidence before your test!

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What is referred to as the root of an equation?

The highest power in the equation
The solution of the equation
The average of variable terms
The constant term in the equation

The correct answer is: The solution of the equation

The root of an equation is defined as the solution that satisfies the equation when substituted for the variable. In other words, if you have an equation set to zero, the root is the value of the variable that makes the equation true (i.e., the equation holds valid). For example, in a simple equation like $ x^2 - 4 = 0 $, the roots are $ x = 2 $ and $ x = -2 $ because substituting either value back into the equation results in a true statement (0 = 0). This demonstrates that roots are directly tied to the concept of finding solutions to equations, particularly algebraic equations. The other options do not define the root accurately. The highest power refers to the degree of the polynomial and offers information about its shape and behavior but not its solutions. The average of variable terms is unrelated to the context of logically solving for roots. The constant term, while an integral part of forming equations, does not in itself identify any solutions or roots of the equation. Thus, the correct choice distinctly highlights the essence of what constitutes a root in mathematical terms.