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Formula for finding the sum of the roots:
Formula for finding the product of the roots:
1.)
Given:
2.)
3.)
4.)
5.)
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Verified answer
The Sum and Product of the Roots of the Quadratic Equation
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DIRECTION:
Formula for finding the sum of the roots:
Formula for finding the product of the roots:
1.)![\large\tt{8x²=6x+9} \large\tt{8x²=6x+9}](https://tex.z-dn.net/?f=%5Clarge%5Ctt%7B8x%C2%B2%3D6x%2B9%7D)
Standard Form:
SOLUTION:
Given:![\large\tt{a=8,b=-6,c=-9} \large\tt{a=8,b=-6,c=-9}](https://tex.z-dn.net/?f=%5Clarge%5Ctt%7Ba%3D8%2Cb%3D-6%2Cc%3D-9%7D)
2.)![\large\tt{4x²+8x+3=0} \large\tt{4x²+8x+3=0}](https://tex.z-dn.net/?f=%5Clarge%5Ctt%7B4x%C2%B2%2B8x%2B3%3D0%7D)
Given:![\large\tt{a=4,b=8,c=3} \large\tt{a=4,b=8,c=3}](https://tex.z-dn.net/?f=%5Clarge%5Ctt%7Ba%3D4%2Cb%3D8%2Cc%3D3%7D)
3.)![\large\tt{x²+4x+3=0} \large\tt{x²+4x+3=0}](https://tex.z-dn.net/?f=%5Clarge%5Ctt%7Bx%C2%B2%2B4x%2B3%3D0%7D)
Given:![\large\tt{a=1,b=4,c=3} \large\tt{a=1,b=4,c=3}](https://tex.z-dn.net/?f=%5Clarge%5Ctt%7Ba%3D1%2Cb%3D4%2Cc%3D3%7D)
4.)![\large\tt{x²+4x-3=0} \large\tt{x²+4x-3=0}](https://tex.z-dn.net/?f=%5Clarge%5Ctt%7Bx%C2%B2%2B4x-3%3D0%7D)
Given:![\large\tt{a=1,b=4,c=-3} \large\tt{a=1,b=4,c=-3}](https://tex.z-dn.net/?f=%5Clarge%5Ctt%7Ba%3D1%2Cb%3D4%2Cc%3D-3%7D)
5.)![\large\tt{x²+4x-21=0} \large\tt{x²+4x-21=0}](https://tex.z-dn.net/?f=%5Clarge%5Ctt%7Bx%C2%B2%2B4x-21%3D0%7D)
Given:![\large\tt{a=1,b=4,c=-21} \large\tt{a=1,b=4,c=-21}](https://tex.z-dn.net/?f=%5Clarge%5Ctt%7Ba%3D1%2Cb%3D4%2Cc%3D-21%7D)
Kindly swipe your screen to the left to see the continuation of the solution.
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