Question

the product of two consecutive positive integers is 306. We need to find the integets

Answer 1

Answer:

Step-by-step explanation:

X*(x+1)=306

X²+x=306

X²+x-306=0

X²+(18-17)x-306=0

X²+18x-17x-306=0

X(x+18)-17(x+18)=0

(X+18)(x-17)=0

Therefore x could be -18 or 17

Since negative numbers are not integers, the consecutive positive numbers are, 17 and 17+1=18

Answer 2

Answer:

given the product of 2 consecutive no. be 306

let one no. be 'x' and another be x+1

Step-by-step explanation:

as given

x × [x+1] = 306

x^2+x = 306

x^+x-306 = 0

x^2+18x-17x-306 = 0

[x^2+18x] +[-17x -306] =0

x[x+18] -17[x+18] = 0

x-17=0 and x+18=0

x=17 and x=-18

taking x as 17  the no. are 17&18

taking x as -18 the no. are -18&-17 [ here -17 bcoz case was 'x+1' that is -18+1=-17]

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