Question

$$ \text { Solve for }[x]^{2}-3[x]+2=0 $$

Name: Problem 24, Chapter 1: Differential Calculus Booster with Problems and Solutions for JEE Main and Advanced
Uploaded: 2022-02-25T18:02:48-08:00
Duration: 1 min 13 s
Channel: Varsha Aggarwal
Description: Solve for [x]^2-3[x]+2=0

   $$
\text { Solve for }[x]^{2}-3[x]+2=0
$$

Differential Calculus Booster with Problems and Solutions for JEE Main and Advanced

Rejaul Makshud 2019 Edition

Chapter 1, Problem 24

Instant Answer

Solved by Expert Varsha Aggarwal

02/25/2022

Step 1

So, the equation becomes $a^{2}-3a+2=0$. Show more…

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$$ \text { Solve for }[x]^{2}-3[x]+2=0 $$

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Key Concepts

Quadratic Equations

A quadratic equation is a second-degree polynomial equation in one variable, typically written in the form ax² + bx + c = 0, where a, b, and c are constants and a is not zero. Understanding quadratic equations is fundamental in algebra as they appear in various mathematical problems and applications.

Factoring

Factoring is a method used to simplify expressions and solve equations by expressing a polynomial as a product of its factors. For quadratic equations, if the polynomial can be factored into two binomials, identifying these factors can simplify finding the roots of the equation.

Zero Product Property

The zero product property states that if the product of two expressions is zero, then at least one of the expressions must be zero. This property is crucial when solving factored quadratic equations, as it allows us to set each factor equal to zero to determine the solutions for the variable.

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