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Chapter 9: Q. 200E (page 919)

The product of two consecutive even numbers is 528. Find the numbers

Short Answer

Expert verified

Two consecutive even integers whose product is 528 are22,24and-22,-24

Step by step solution

01

Step 1. Given information

There are two consecutive even numbers. Its product is 528.

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=528

x2+2x-528=0

Solve the quadratic equation.

x-22x+24=0

Use the Zero Product Property.

x-22=0鈬�x=22

x+24=0鈬�x=-24

03

Step 3. Conclusion.


  • If first even number is 22 then second even number is 24.
  • If first even number is -22 then second even number is -24.

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