roots of quadratic equation

Example 03 - Sum and product of roots of quadratic equation

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

Example 02 - Quadratic equation problem

Problem
Determine the equation whose roots are the reciprocals of the roots of the equation 3x2 - 13x - 10 = 0.
 

Example 01 - Quadratic equation problem

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 Equations in One Variable

Quadratic Equation
Quadratic equation is in the form
 

$ax^2 + bx + c = 0$

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
 

 
 
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