There are two consecutive even integers. The square of the larger one is three hundred eight more than the smaller one. Which of the following equations could you use to find the smaller integer? A. (x + 2)2 - 308 = x
B. (x + 2)2 + 308 = x
C. (x + 1)2 + 308 = x
D. (x + 1)2 = x - 308
E. (x + 1)2 - 308 = x
F. (x + 2)2= x - 308

e.) (x+1)2-308=x

Step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions