BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.5, Problem 104E
To determine

Find all the real solutions of given equation.

Expert Solution

Answer to Problem 104E

  x=4,9

Explanation of Solution

Given information:

  x5x+6=0

Formula used:

Splitting the middle term:- in this method, middle term is splitted in such a way that the product of its part is equal to the product of constant and first terms coefficient.

Calculation:

  x5x+6=0

Let x=z

  z25z+6=0

Splitting middle term in such a way that product of its part is equal to product of constant and coefficient of first term.

  z25z+6=0z23z2z+6=0z(z3)2(z3)=0(z3)(z2)=0

  z=2,3x=2,3x=4,9

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