In a 10th grade class, each student writes a letter to all the other students of the class. If the total number of letters is 870, how many students are there in the class?
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each child gives a gift to another Therefore
x(x-1)=870 or, x2 - x – 870 or, x2 – 30x – 29x – 870 or, x(x-30) + 29(x-30) or, (x+29)(x-30) x = -29 , x = 30 {are the two factors } x=-29 is not possible so it is X=30
IT IS A BASIC WORD PROBLEMS FROM QUADRATIC EQUATION (THANKS)