step 1 Z plus 1 squared equals 5. So using the even root property, we can take the square root of both

Question

$(3 z+1)^2-5=0$

Name: Problem 19, Chapter 8: Elementary and Intermediate Algebra
Uploaded: 2020-04-14T23:04:34-08:00
Duration: 37 s
Channel: Cory Kuzinski
Description: (3 z+1)^2-5=0

   $(3 z+1)^2-5=0$

Elementary and Intermediate Algebra

Stefan Baratto,… 4th Edition

Chapter 8, Problem 19

Instant Answer

Solved by Expert Cory Kuzinski

04/14/2020

Step 1

Step 1: Start with the given equation: (3z + 1)^2 - 5 = 0 Show more…

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$(3 z+1)^2-5=0$

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Key Concepts

Algebraic Manipulation

Algebraic manipulation involves rearranging, combining, or splitting terms within an equation to isolate variables or expressions. This is a fundamental skill for solving equations, as it allows one to transform complex expressions into simpler forms that are easier to solve.

Square Root Property

The square root property is used to solve equations of the form (expression)^2 = value. By taking the square root of both sides, and considering both the positive and negative square roots, one can simplify the equation to find all possible solutions.

Quadratic Equations

Quadratic equations are polynomial equations of degree two. They can be solved using various methods such as factoring, completing the square, or the quadratic formula. Recognizing when an equation fits into this form is essential for selecting the appropriate solving strategy.

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