We need to determine the number of real solutions to the equation:
In order to do so, we can apply the quadratic formula:
where a is the constant multiplying x², b is the one multiplying x and c is the independent term.
In this problem, we have:
Then, let's use those values to find the number inside the square root. We obtain:
Notice that the term inside the square root is negative. And since the square root of a negative number is an imaginary number, the equation has no real solutions.
Answer: Zero real solutions.