How many solutions does this equation have?
12+2x 2
= 13
Responses
A no solution
B exactly one solution
C exactly two solutions
D infinitely many solutions
The given equation is 12 + 2x^2 = 13.
Rearranging the equation, we have 2x^2 = 1.
Dividing both sides by 2, we get x^2 = 1/2.
Taking the square root of both sides, we have x = ± √(1/2).
Thus, the equation has exactly two solutions.
Therefore, the correct answer is C) exactly two solutions.