Question

Is 3 a solution of $z^{2}+1=4+3 z ?$

   Is 3 a solution of $z^{2}+1=4+3 z ?$

Prealgebra and Introductory Algebra

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 5, Problem 16

Instant Answer

Solved by Expert Ethan Somes

06/20/2020

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Is 3 a solution of $z^{2}+1=4+3 z ?$

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Key Concepts

Algebraic Manipulation

Algebraic manipulation includes simplifying expressions and performing arithmetic operations to compare both sides of an equation. It is crucial in solving and verifying equations by ensuring that each step logically transforms the equation without altering its solution set.

Substitution

Substitution is the process of replacing a variable in an equation with a specific value to determine if that value satisfies the equation. This technique is essential when verifying if a given number is a solution to an equation.

Solution Verification

Solution verification involves checking both sides of an equation after substituting a candidate solution to ensure that the equality holds. This process confirms whether the candidate is indeed a valid solution.

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