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The product of two consecutive Even numbers is 328.Find the numbers .

Short Answer

Expert verified

Therefore , two consecutive even numbers are 22 and 24 .

Step by step solution

01

Given information

The given statement states that the product of two consecutive Even numbers is 528.

02

Two consecutive even numbers  

Take two numbers are n and n +2.

Product of two consecutive even numbers

nn+2=528Simplifytheequationn2+2n=528n2+2n-528=0

03

Using Quadratic formula

n2+2n-528=0Whereasa=1,b=2andc=-528n=-2±22-41-52821n=-2±21162n=-2±462n=442n=22n+2=24

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