- Write the general form of the quadratic formula and state its use.
- State the conditions that must be met to use the quadratic formula.
- Identify equations that can be solved using the quadratic formula.
- Use the quadratic formula to find the solutions to a quadratic equation.
- Define the discriminant and state what it tells about the solutions to the equation.
- Apply the quadratic formula to find the roots of a quadratic equation.
- Use the discriminant to determine how many roots a polynomial has.
- Complex Numbers – The set of all numbers of the form a + bi, where a and b are any real numbers and i equals .
- Discriminant – The number under the radical sign in the quadratic formula. It is given by the expression .
- Imaginary Number – The square root of a negative number. The imaginary number i is defined as the square root of –1.
- You can use to find the square root of any negative number.
- Quadratic Formula – A formula used to solve quadratic equations.
- The solutions to the quadratic equation are given by the formula .
- Radical – A term that has the form where b can be a number, a variable, or an expression that contains both.
- The symbol indicates the nth root.
- The symbol (no n) indicates a square root.
- Roots – Values for which a function equals zero.
- The roots are also called zeros of the function.
- Any x-value at which the graph of a function crosses the x-axis is a root of the function.
|Deriving the Quadratic Formula|
|Solving Quadratic Equations|
|Discriminants and Complex Numbers|