In this lesson, we learn how to use the quadratic formula to find real irrational roots when factoring is not possible. We are reminded to first identify the values of A, B, and C in the quadratic formula, and then evaluate the discriminant to determine whether the roots will be real or complex. If the discriminant is not a square number, we know that the roots will be irrational. We also learn a helpful technique for simplifying the radical in our final answer. Overall, the quadratic formula is a powerful tool that can help us solve even the most challenging quadratic equations.
How to factor using the quadratic formula finding real irrational roots
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Questions answered by this video:
How do I solve a quadratic equation using the quadratic formula?
How do I simplify the irrational solutions after using the quadratic formula?
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This video shows how to solve a quadratic equation using the quadratic formula. After solving the equation, the instructor demonstrates how to simplify the irrational solutions.