If the product of four consecutive integers is equal to one of them , what is the largest possible value of one of the integers?
If the product of four consecutive integers is equal to one of them , what is the largest possible value of one of the integers? Correct Answer
Let the first integer is xThen the other 3 integers are x+1, x+2 ,x+3 So the equation, x(x+1)(x+2)=(x+3) So, (x2 +1)(x+2)=(x+3)x3+3x2 +x-3=0x= 0.76 or -1.884 So largest value 0.76