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Chapter 1: Problem 128

Determine whether each statement makes sense or does not make sense, and explain your reasoning. When I solve an equation that is quadratic in form, it's important to write down the substitution that I am making.

Short Answer

Expert verified
The statement makes sense because writing down the substitution when solving a quadratic equation provides a clear, followable solution process and allows for verification of your answer.

Step by step solution

01

Understand Quadratic Equation

A quadratic equation is an equation of the form \(ax^2+bx+c=0\), where \(a, b,\) and \(c\) are constants. Solving this type of equation often involves factoring or the application of the quadratic formula.
02

Understand Substitution

Sometimes, to simplify the process of solving a quadratic equation, a substitution is made. A variable is replaced with another variable or expression to make the equation easier to solve.
03

Making sense of the Statement

Given these facts, the statement makes sense. When performing a substitution while solving a quadratic equation, writing down what substitution was made is crucial. Not only does this practice allow for verification of your answer, but it also allows others to understand your process.

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