Question

the product of 2 consecutive positive no is 8372.what is the greater no?

Answer 1

92 is the bigger no. x(x+1)=8372 x^2 +x -8372=0 use determinant Values of x=-92 and 91 Since no. Is positive take 91 . Bigger number =x+1=92

Answer 2

Let the consecutive no be x and x+1
The product is x(X+1)
ATQ  we have  x²+x=8372
                 ⇒ x²+x - 8372=0
                 ⇒ x² +92x - 91x -8372=0
                 ⇒ x(x+92) - 91(x+92) =0
                 ⇒ (x-91)(x+92)=0
                 ⇒ x= 91 or -92
                 ⇒ x=91
Greater no is 91+1=92