# quadratic equation

## Example 03 - Sum and product of roots of quadratic equation

## Example 02 - Quadratic equation problem

**Problem**

Determine the equation whose roots are the reciprocals of the roots of the equation 3x^{2} - 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 *x*^{2}*b* = coefficient of *x**c* = constant term or simply constant*a* cannot be equal to zero while either *b* or *c* can be zero