product of roots

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

Problem
In a quadratic equation problem, one student made a mistake in copying the coefficient of x and got roots of 3 and -2. Another student made a mistake in copying the constant term and got the roots of 3 and 2. What are the correct roots?
 

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