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 103E
To determine

Find all the real solutions of given equation.

Expert Solution

Answer to Problem 103E

  x=27,x=729

Explanation of Solution

Given information:

  x123x13=3169

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:

  x123x13=3169x123x13316+9=0(x12316)+(3x13+9)=0=x16[x(12)(16)3]3(x133)=0

  x16(x133)3(x123)=0

Now factoring out (x133)

  (x133)(x163)=0x133=0,x163=0x3=3,x6=3x=27,x=729

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