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? 

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 is a root of the equation? 

lf f(x) = [x]² - 30[x] + 221 = 0, where [x] is the greatest integer function, then what is the sum of all integer solutions? 

f f(x) = 9x - 8√x such that g(x) = f(x) - 1, then which one of the following is correct?