Question

1.)
The

Product of two consecutive positive interger is 306, we need to find the integers.​

Answer 1

Answer:

Let the unknown integers be ˣ and ˣ⁺¹

therefore ˣ⁺ˣ⁺¹ is equal to ₃₀₆

which is equal to ²ˣ ⁺¹

therefore ²ˣ equal to ₃₀₆⁻₁

equal to ₃₀₅

HOPE THIS HELPS YOU

PLS MARK ME AS THE BRAINIEST

Step-by-step explanation:

Answer 2

Answer: The two consecutive integers are 17 and 18

Step-by-step explanation:

Let the two consecutive integers be X and x+1

x*(x+1)=306

x²+x-306=0

By splitting middle term method,

x²+18x-17x-306=0

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

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

x+18=0, x-17=0

x=-18, x= 17

Since x is positive, x is equal to 17 and not -18

The second consecutive integer=x+1=17+1=18

The two consecutive integers are 17 and 18