(a) Answer The required solutions of the equation are ( x 1 , x 2 ) . Explanation Given information: The given equation is: a x 2 + b x + c < 0 The given graph of the equation is: Consider the given graph: It is seen that for the value to be smaller than zero, the value of x should be below the x -axis. Hence, the required solution of the equations are ( x 1 , x 2 ) . (b) To determine The solution of the given function. Answer The required solutions of the equation are ( − ∞ , x 1 ) ∪ ( x 2 , ∞ ) . Explanation Given information: The given equation is: a x 2 + b x + c < 0 The given graph of the equation is: Consider the given graph: It is seen that for the value to be greater than zero, the value of x should be above the x -axis. Hence, the required solution of the equations are ( − ∞ , x 1 ) ∪ ( x 2 , ∞ ) . (c) To determine The solution of the given function. Answer The required solutions of the equation are ( x 1 , x 2 ) . Explanation Given information: The given equation is: a x 2 + b x + c < 0 The given graph of the equation is: Consider the given graph: It is seen that the given graph is a reflection of the other graph downward Hence, the required solution of the equations are ( x 1 , x 2 ) .

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

1st Edition

ISBN: 9781680331165

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 3.6, Problem 43E

(a)

To determine

The solution of the given function.

(a)

Expert Solution

Answer to Problem 43E

The required solutions of the equation are (x1,x2) .

Explanation of Solution

Given information:

The given equation is:

ax2+bx+c<0

The given graph of the equation is:

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 3.6, Problem 43E , additional homework tip 1

Consider the given graph:

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 3.6, Problem 43E , additional homework tip 2

It is seen that for the value to be smaller than zero, the value of x should be below the x -axis.

Hence, the required solution of the equations are (x1,x2) .

(b)

To determine

The solution of the given function.

(b)

Expert Solution

Answer to Problem 43E

The required solutions of the equation are (−∞,x1)∪(x2, ∞) .

Explanation of Solution

Given information:

The given equation is:

ax2+bx+c<0

The given graph of the equation is:

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 3.6, Problem 43E , additional homework tip 3

Consider the given graph:

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 3.6, Problem 43E , additional homework tip 4

It is seen that for the value to be greater than zero, the value of x should be above the x -axis.

Hence, the required solution of the equations are (−∞,x1)∪(x2, ∞) .

(c)

To determine

The solution of the given function.

(c)

Expert Solution

Answer to Problem 43E

The required solutions of the equation are (x1, x2) .

Explanation of Solution

Given information:

The given equation is:

ax2+bx+c<0

The given graph of the equation is:

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 3.6, Problem 43E , additional homework tip 5

Consider the given graph:

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 3.6, Problem 43E , additional homework tip 6

It is seen that the given graph is a reflection of the other graph downward

Hence, the required solution of the equations are (x1, x2) .

Chapter 3.6, Problem 42E

Chapter 3.6, Problem 44E

Chapter 3 Solutions

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - Prob. 39E Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - Prob. 42E Ch. 3.1 - Prob. 43E Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.1 - Prob. 46E Ch. 3.1 - Prob. 47E Ch. 3.1 - Prob. 48E Ch. 3.1 - Prob. 49E Ch. 3.1 - Prob. 50E Ch. 3.1 - Prob. 51E Ch. 3.1 - Prob. 52E Ch. 3.1 - Prob. 53E Ch. 3.1 - Prob. 54E Ch. 3.1 - Prob. 55E Ch. 3.1 - Prob. 56E Ch. 3.1 - Prob. 57E Ch. 3.1 - Prob. 58E Ch. 3.1 - Prob. 59E Ch. 3.1 - Prob. 60E Ch. 3.1 - 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