John and jivanti together have 45 marbles . Both of them lost 5 marbles each , and the product of the number of marbles they now have is 128. Form the quadratic equation.

Question

John and jivanti together have 45 marbles . Both of them lost 5 marbles each  , and the product of the number of marbles they now have is 128. Form the quadratic equation.

Filo · Accepted Answer

Given;-John and Jivanti together have 45 marbles.Let, the number of marbles john had be =x then the number of marbles jivanti had =(45−x)Now,both of them lost 5 marbles eachtherefore,The number of marbles johns had=(x−5) The number of marbles jivanti had=45−x−5                                                          =(40−x)Now product of the number of  marbles=128therefore,⇒(x−5)(40−x)=128⇒40x−x2−200+5x=128⇒−x2+45x−200−128=0⇒x2−45x+328=0            [Multiplying by −1]Hence,The required quadratic equation is x2−45x+328=0

Question Text	John and jivanti together have $45$ marbles . Both of them lost $5$ marbles each , and the product of the number of marbles they now have is $128$ . Form the quadratic equation.
Answer Type	Text solution:1
Upvotes	150

John and jivanti together have $45$ marbles . Both of them lost $5$ marbles each , and the product of the number of marbles they now have is $128$ . Form the quadratic equation.

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