Question

If $y=x^{2}-3 x+2,$ find $x$ when $y=0 .[1.1]$

   If $y=x^{2}-3 x+2,$ find $x$ when $y=0 .[1.1]$

Essentials of Precalculus

Essentials of Precalculus

Richard N. Aufmann,… 1st Edition

Chapter 1, Problem 97

Instant Answer

Solved by Expert Julie Silva

07/09/2021

Step 1

So, we substitute $0$ for $y$ in our equation. This gives us: \[0=x^{2}-3x+2\] Show more…

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If $y=x^{2}-3 x+2,$ find $x$ when $y=0 .[1.1]$

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Key Concepts

Factoring

Factoring is the process of rewriting an expression as a product of simpler expressions, called factors. In the context of quadratic equations, if the quadratic can be factored into two binomials, it becomes much easier to solve by setting each factor equal to zero.

Quadratic Equation

A quadratic equation is any equation that can be written in the form ax² + bx + c = 0, where a, b, and c are constants and a ? 0. It represents a parabola when graphed, and solving the equation involves finding the values of x that make the equation true.

Zero Product Property

The zero product property states that if the product of two factors is zero, then at least one of the factors must be equal to zero. This property is essential when solving quadratic equations by factoring, as it allows the equation to be split into simpler, solvable parts.

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