step 1 So we have 3 plus 5x squared, and we want to know when this is going to be less than or equal to

Question

$(2 x-3)^2=5$

Name: Problem 18, Chapter 8: Elementary and Intermediate Algebra
Uploaded: 2020-07-13T19:54:26-08:00
Duration: 1 min 19 s
Channel: Peter Winans
Description: (2 x-3)^2=5

    $(2 x-3)^2=5$

Elementary and Intermediate Algebra

Stefan Baratto,… 4th Edition

Chapter 8, Problem 18

Instant Answer

Solved by Expert Peter Winans

07/13/2020

Step 1

Step 1: Start with the given equation: $(2x - 3)^2 = 5$. Show more…

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$(2 x-3)^2=5$

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Key Concepts

Quadratic Equations

These are equations where the variable is raised to the second power. They typically have up to two solutions and can be approached through various methods such as factoring, completing the square, or using the quadratic formula.

Square Root Property

This property is used when an equation is structured so that a square (or other even power) is applied to an expression. It involves taking the square root of both sides of the equation, remembering to include both the positive and negative roots, which is essential to capture all possible solutions.

Inverse Operations

This concept involves using operations that reverse the effect of each other. In the context of the problem, squaring and taking the square root are inverse operations, which allows one to isolate the variable by undoing the squaring operation.

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