roots

Solve for $x$ from the following equations:

5. $\left( \dfrac{x^2 - 15}{x} \right)^2 - 16\left( \dfrac{15 - x^2}{x} \right) + 28 = 0$
    
6. $\dfrac{x}{\sqrt{x} + \sqrt{9 - x}} + \dfrac{x}{\sqrt{x} - \sqrt{9 - x}} = \dfrac{24}{\sqrt{x}}$

Determine the value of $x$ from the following equations:

3. $\sqrt{(4 - x^2)^3} + 3x^2\sqrt{4 - x^2} = 0$
    
4. $\dfrac{1}{3x - 2} - \dfrac{8}{\sqrt{3x - 2}} = 9$
    

Problem
Find the sum and product of roots of the quadratic equation x² - 2x + 5 = 0.
 

Quadratic Equation
Quadratic equation is in the form
 

Where
a, b, & c = real-number constants
a & b = numerical coefficient or simply coefficients
a = coefficient of x²
b = coefficient of x
c = constant term or simply constant
a cannot be equal to zero while either b or c can be zero