1/2(4x+2)=2(x+1/2)

Question

a. 1=1;infinite real solutions
b. x=4;exactly one real solution
c. x=2;exactly one real solution

Answer 1

To solve the equation, we need to distribute the 1/2 on the left side:

1/2 * 4x + 1/2 * 2 = 2 * x + 2 * 1/2
2x + 1 = 2x + 1

We can see that the equation simplifies to 1 = 1, which is always true. This means that for any value of x, the equation is satisfied. Therefore, option a) 1=1;infinite real solutions is the correct answer.