The Quadratic Formula - Concept

Concept Concept (1)

A square root is an exponent of one-half. A cube root is an exponent of one-third. Square roots of negative numbers do not have real number roots since the product of any real number and itself is positive. Cube roots do exist for negative numbers since the product of three negatives is a negative. Cube roots re-appear often in Geometry and in Algebra II.

Sample Sample Problems (13)

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The Quadratic Formula - Problem 1

Solve x² − 2x − 8 = 0 using the quadratic formula.

Problem 1
How to use the quadratic formula when the solutions are integers.
The Quadratic Formula - Problem 2

Solve using the quadratic formula:

7x² − 2x − 8 = 0
Problem 2
How to use the quadratic formula with decimal approximations or simple radical form solutions.
The Quadratic Formula - Problem 3

Solve x² − 2x + 2 = 0 using the quadratic formula.

Problem 3
How to use the quadratic formula when there are no solutions.
The Quadratic Formula - Problem 4
Problem 4
Simple radical form versus decimal approximations.
The Quadratic Formula - Problem 5
Problem 5
Tips for solving with the quadratic formula correctly.
The Quadratic Formula - Problem 6
Problem 6
Using the quadratic formula to determine when an object will hit the ground.
The Quadratic Formula - Problem 7
Problem 7
Solving with the Quadratic Formula after dividing by a common factor.
The Quadratic Formula - Problem 8
Problem 8
Interpreting the +, - symbol as two expressions to simplify.
The Quadratic Formula - Problem 9
Problem 9
Derivation of the quadratic formula using completing the square.
The Quadratic Formula - Problem 10
Problem 10
Identifying which quadratic solving method would be best in different circumstances.
The Quadratic Formula - Problem 11
Problem 11
Songs to help remember the quadratic formula.
The Quadratic Formula - Problem 12
Problem 12
Rational solutions from the quadratic formula means factoring would be possible, as well.
The Quadratic Formula - Problem 13
Problem 13
Simplifying radicals in using the quadratic formula to find exact solutions.