The product of two consecutive even integers is 72. Use to represent the smaller integer.?

Question

Enter the equation that represents the problem.

Answer 1

the equation is
xy=72
x+1=y

x is the 1st integer, y is the 2nd, try to finish the rest

Answer 2

There is no solution to this problem as stated.

We would let x = the first of the two even integers. Since the second integer must also be even it would be two integers away, and we would represent it as x+2
the equation would be x(x+2) = 72
simplifying we get x^2 +2x - 72 =0
while this can easily be solved using the quadratic formula, the zeros are not integers.
Perhaps you did not mean to say consecutive EVEN integers, but just consecutive integers.
Then the solution is 8 and 9

Answer 3

Let x represent the smaller numer.

then the bigger number is" x+2" because it is consecutive AND even. Consecutive would only add 1, but because also even, add 2

so the equation to solve is:

x(the small number) multiplied by (x+2) (the bigger number) equals 72


x(x+2)=72
x^2+2x=72
which is:

x^2+2x-72=0, finding the zeroes is an easier problem
Two ways to solve this:
1. Using the quadratic formula:

x= -root(73) -1 or root(73) +1



2. Use a graphing calculator, graph the function, then find the zeroes
hmmm but those are not even are they.....


hmmm..

I don't think there is a solution to this.

I think you mean, just "two consecutive integers" with the "even" left out....
then it would be 8,9

Answer 4

the only two consecutive intergers that will produce 72 are 8 times 9 -two even integers would be 6 times 12-- I do not understand "Use to represent the smaller integer.?"

Answer 5

x(x + 2) = 72
x^2 + 2x = 72
x^2 + 2x - 72 = 0

x = (-b ± sqrt(b^2 - 4ac))/(2a)

x = (-2 ± sqrt(2^2 - 4(1)(-72)))/(2(1))
x = (-2 ± sqrt(4 + 288))/2
x = (-2 ± sqrt(292))/2
x = (-2 ± sqrt(4 * 73))/2
x = (-2 ± 2sqrt(73))/2
x = -1 ± sqrt(73)

so unless you wrote something wrong, this isn't possible.

there are 2 consecutive intergers that when multiply give you 72, which is 8 and 9, but not 2 even or odd intergers

Answer 6

x(x+2)=72 the answer:30,32

Answer 7

go to hotmath.com it helps a lot.