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Chapter 9: Q. 198E (page 919)

The product of two consecutive odd numbers is 1,023. Find the numbers.

Short Answer

Expert verified

Two consecutive odd integers whose product is 1023 are 31,33 androle="math" localid="1645119043490" -33,-31.

Step by step solution

01

Step 1. Given information

There are two consecutive odd numbers. Its product is 1023.

Find theses numbers using quadratic equation.

02

Step 2. Calculation

Consider first odd number is x. so second consecutive odd number is x+2.

So the equation becomes xx+2=1023

x2+2x-1023=0

Solve the equation.

x-31x+33=0

So, by the Zero Product Property ,

x-31=0⇒x=31

x+33=0⇒x=-33

03

Step 3. Conclusion

  • If first odd number is 31 then second odd number is 33.
  • If First odd number is -33 then second odd number is -31.

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