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The Quadratic Formula. Something you will remember long after you have left high school and not know why!. The Quadratic Formula. Start with following quadratic equation: 0 Let’s try to solve it by completing the square, since there doesn’t seem to be anything else we can do.
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The Quadratic Formula Something you will remember long after you have left high school and not know why!
The Quadratic Formula • Start with following quadratic equation: • 0 • Let’s try to solve it by completing the square, since there doesn’t seem to be anything else we can do.
The Quadratic Formula • Take of the factor “a” from the first two terms • Now, take the coefficient of the “x” term, divide it by two, then square it, add and subtract it.
The Quadratic Formula • Factor the first three terms of the R.S. Simplifying this equation, you get
The Quadratic Formula • Move what you can easily to the L.S. • Now it gets really interesting! • Take the square root on both sides
The Quadratic Formula • = • OK, so now we need to get “x” completely by itself • Like that!
The Quadratic Formula • Now let’s clean it up a bit • Almost there
The Quadratic Formula • Finally we have it, the quadratic formula! • We can now use this to solve problems. i.e. find the roots of quadratic equations or the zeros of quadratic functions.
