The number of real roots for the equation $${x^2} + 9\left| x \right| + 20 = 0$$ is

If n is a root of the equation x² + px + m = 0 and m is a root of the equation x² + px + n = 0, where m ≠ n, then what is the value of p + m + n?

What is the number of real roots of the equation (x - 1)² + (x - 3)² + (x - 5)² = 0?

Direction : Consider the following for the items that follow :  

The roots of the quadratic equation 

a²(b² - c²)x² + b²(c² - a²)x + c²(a² - b²) = 0 are equal (a² ≠ b² ≠ c²).

Which one of the following statements is correct?