Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Question

Chapter 10.7, Problem 37E

To determine

Tofind:the solution of the equation of y using quadratic formula and draw the graph.

Expert Solution & Answer

Answer to Problem 37E

y=(2x+5)+(2x+5)2−4(x2−5x)2 and y=(2x+5)−(2x+5)2−4(x2−5x)2.

Explanation of Solution

Given:

x2−2xy+y2−5x−5y=0.

Concept used:

First solve the given equation for y , it can write the equation in the form of ay2+by+c=0 .

y=−b±b2−4ac2a .

Graph of an equation can be plot using the Desmos graphing calculator.

Calculation:

Consider the equation of the conic:

x2−2xy+y2−5x−5y=0.

First solve the given equation for y , it can write the equation in the form of ay2+by+c=0 .

x2−2xy+y2−5x−5y=0.y2−(2x+5)y+(x2−5x)=0.

Now use the quadratic formula to solve for y :

The two roots of the y are:

y=(2x+5)+(2x+5)2−4(x2−5x)2 and y=(2x+5)−(2x+5)2−4(x2−5x)2.

The graph of the equation x2−2xy+y2−5x−5y=0. is:

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 10.7, Problem 37E

Hence, the new equation so form is y=(2x+5)+(2x+5)2−4(x2−5x)2 and y=(2x+5)−(2x+5)2−4(x2−5x)2. .

Chapter 10.7, Problem 36E

Chapter 10.7, Problem 38E

Chapter 10 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 10.1 - Prob. 1CFU Ch. 10.1 - Prob. 2CFU Ch. 10.1 - Prob. 3CFU Ch. 10.1 - Prob. 4CFU Ch. 10.1 - Prob. 5CFU Ch. 10.1 - Prob. 6CFU Ch. 10.1 - Prob. 7CFU Ch. 10.1 - Prob. 8CFU Ch. 10.1 - Prob. 9CFU Ch. 10.1 - Prob. 10CFU

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Tofind:the solution of the equation of y using quadratic formula and draw the graph.

Answer to Problem 37E

Explanation of Solution

Chapter 10 Solutions

Additional Math Textbook Solutions