the difference between two number is 9 and the product of the number is 162 find the 2 number

Mathematics · Middle School · Tue Nov 03 2020

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If the difference between two numbers is 9 then let one number be X so the second number is (X-9)and the product of the number is 162 so 

X*(X-9)=162 by finding the solution and finding the roots of the equation 

X^2-9X-162=0

X^2-18X+9X-162=0

X(X-18)+9(X-18)=0

(X-18)(X+9)=0

X=18,-9 we consider only the positive value of X so the one number is 18 and the second one is  “X-9=18-9=9”

Two numbers are 18,9 answers.