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Chapter 10: Q 10.76 (page 1199)

The product of two consecutive odd integers is 168.Find the integers.

Short Answer

Expert verified

The two consecutive odd integers is-12and14.

Step by step solution

01

Given Information 

The product of two consecutive odd integers is 168.

02

Solve the equation 

Take n = the first odd integer

n + 1 = the next odd integer.

The product of two consecutive odd integers is 168. The product of the first odd integer and the second odd integers is 168.

nn+1=168n2+n=168n2+n-168=0a=1,b=1andc=-168Usingquadraticformulan=-b卤b2-4ac2an=-2卤22-41-1682n=-2卤262n=-2-262,-2+262n=-282,242n=-14,12n+2=-14+2,12+2=-12,14

n = -14 +2 = -12

n = 12 + 2 = 14

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