Directions: Find the sum and product of the roots of each quadratic equation.
#1: x² - 5x + 6 = 0
Sum:
Product:
#2: 4k² + 20k - 16 = 0
#3: 8x² + 10x + 1 = 0
#4: y² + 3y - 18 = 0
#5: b² + 12b - 28 = 0
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✏️QUADRATIC
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Directions: Find the sum and product of the roots of each quadratic equation.
#1: x² - 5x + 6 = 0
Sum:![\frac{\text-(\text-5)}{1} = \frac{5}{1} = \boxed{\tt \large \green{5}} \\ \frac{\text-(\text-5)}{1} = \frac{5}{1} = \boxed{\tt \large \green{5}} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Ctext-%28%5Ctext-5%29%7D%7B1%7D%20%3D%20%5Cfrac%7B5%7D%7B1%7D%20%3D%20%5Cboxed%7B%5Ctt%20%5Clarge%20%5Cgreen%7B5%7D%7D%20%5C%5C%20)
Product:![\frac{6}{1} = \boxed{\tt \large \green{6}} \\ \frac{6}{1} = \boxed{\tt \large \green{6}} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B1%7D%20%3D%20%5Cboxed%7B%5Ctt%20%5Clarge%20%5Cgreen%7B6%7D%7D%20%5C%5C%20)
#2: 4k² + 20k - 16 = 0
Sum:![\frac{\text-20}{4} = \boxed{\tt \large \green{\text-5}} \\ \frac{\text-20}{4} = \boxed{\tt \large \green{\text-5}} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Ctext-20%7D%7B4%7D%20%3D%20%5Cboxed%7B%5Ctt%20%5Clarge%20%5Cgreen%7B%5Ctext-5%7D%7D%20%5C%5C%20)
Product:![\frac{\text-16}{4} = \boxed{\tt \large \green{\text-4}} \\ \frac{\text-16}{4} = \boxed{\tt \large \green{\text-4}} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Ctext-16%7D%7B4%7D%20%3D%20%5Cboxed%7B%5Ctt%20%5Clarge%20%5Cgreen%7B%5Ctext-4%7D%7D%20%5C%5C%20)
#3: 8x² + 10x + 1 = 0
Sum:![\frac{\text-10}{8} = \boxed{\tt \large \green{\text-\frac{5}{4}}} \\ \frac{\text-10}{8} = \boxed{\tt \large \green{\text-\frac{5}{4}}} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Ctext-10%7D%7B8%7D%20%3D%20%5Cboxed%7B%5Ctt%20%5Clarge%20%5Cgreen%7B%5Ctext-%5Cfrac%7B5%7D%7B4%7D%7D%7D%20%5C%5C%20)
Product:![\boxed{\tt \large \green{\frac{1}{8}}} \\ \boxed{\tt \large \green{\frac{1}{8}}} \\](https://tex.z-dn.net/?f=%20%5Cboxed%7B%5Ctt%20%5Clarge%20%5Cgreen%7B%5Cfrac%7B1%7D%7B8%7D%7D%7D%20%5C%5C%20)
#4: y² + 3y - 18 = 0
Sum:![\frac{\text-3}{1} = \boxed{\tt \large \green{\text-3}} \\ \frac{\text-3}{1} = \boxed{\tt \large \green{\text-3}} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Ctext-3%7D%7B1%7D%20%3D%20%5Cboxed%7B%5Ctt%20%5Clarge%20%5Cgreen%7B%5Ctext-3%7D%7D%20%5C%5C%20)
Product:![\frac{\text-18}{1} = \boxed{\tt \large \green{\text-18}} \\ \frac{\text-18}{1} = \boxed{\tt \large \green{\text-18}} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Ctext-18%7D%7B1%7D%20%3D%20%5Cboxed%7B%5Ctt%20%5Clarge%20%5Cgreen%7B%5Ctext-18%7D%7D%20%5C%5C%20)
#5: b² + 12b - 28 = 0
Sum:![\frac{\text-12}{1} = \boxed{\tt \large \green{\text-12}} \\ \frac{\text-12}{1} = \boxed{\tt \large \green{\text-12}} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Ctext-12%7D%7B1%7D%20%3D%20%5Cboxed%7B%5Ctt%20%5Clarge%20%5Cgreen%7B%5Ctext-12%7D%7D%20%5C%5C%20)
Product:![\frac{\text-28}{1} = \boxed{\tt \large \green{\text-28}} \\ \frac{\text-28}{1} = \boxed{\tt \large \green{\text-28}} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Ctext-28%7D%7B1%7D%20%3D%20%5Cboxed%7B%5Ctt%20%5Clarge%20%5Cgreen%7B%5Ctext-28%7D%7D%20%5C%5C%20)
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