Solving Rational Equations

Front

What is a rational equation?

Back

A rational equation is an equation that involves at least one rational expression, which is a fraction where the numerator and the denominator are polynomials.

Front

What is the discriminant in a quadratic equation?

Back

Front

If the discriminant is greater than 0, how many solutions does the quadratic equation have?

Back

2 Solutions.

Front

If the discriminant is equal to 0, how many solutions does the quadratic equation have?

Back

1 Solution.

Front

If the discriminant is less than 0, how many solutions does the quadratic equation have?

Back

No Real Solutions.

Front

What is the vertex form of a quadratic equation?

Back

Front

What does the value of 'p' represent in the context of conic sections?

Back

The value of 'p' represents the distance from the vertex to the focus or the directrix in parabolas.

Front

How do you determine if a parabola opens upwards or downwards?

Back

Front

What is the process for simplifying a rational expression?

Back

Factor the numerator and denominator, cancel out common factors, and simplify the expression.

Front

Back