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Chapter 10: Q 10.75 (page 1199)

The product of two consecutive odd integers is 99. Find the integers.

Short Answer

Expert verified

The integers are 9 and 11.

Step by step solution

01

Given information 

The product of two consecutive odd integers is 99.

02

Solve the equation 

Let n=the first odd integer

n+2=the next odd integer.

The product of two consecutive odd integers is 99.

The product of the first odd integer and the second odd integer is 99.

nn+2=99n2+2n=99n2+2n-99=0a=1,b=2andc=-99Usingquadraticformulan=-b±b2-4ac2a

03

Substitution

Substitute the value of a,b,andc

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