I need help with this math problem I'm struggling with plz Solve for x. Enter the solutions from leastto greatest.x² +9x + 18 = 0lesser x =greater x =

Given a quadratic equation1) Findthe lesser and greater value of x.For the general quadratic…

Answered: Solve for x. Enter the solutions from…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter4: Polynomials

Section4.2: Adding And Subtracting Polynomials

Problem 11P

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Question

I need help with this math problem I'm struggling with plz

Solve for x. Enter the solutions from least
to greatest.
x² +9x + 18 = 0
lesser x =
greater x =

Expert Solution

Step 1: Introduction

Given a quadratic equation

$straight x squared plus 9 straight x plus 18 equals 0$

1) Findthe lesser and greater value of x.

For the general quadratic equation $a x squared plus b x plus c equals 0$ , the roots are given by expression

$straight alpha equals fraction numerator negative straight b plus square root of straight b squared minus 4 ac end root over denominator 2 straight a end fraction space space and space straight beta equals fraction numerator negative straight b minus square root of straight b squared minus 4 ac end root over denominator 2 straight a end fraction$ (1)