A quadratic equation has the real roots x=6 and x=9. Determine the equation which is satisfied by these roots.
- x^2 -54x+15=0
- x^2 -15x+54=0
- x^2 +15x-15=0
Explanation
A quadratic with roots 6 and 9 is (x - 6)(x - 9) = 0. Expanding gives x^2 - 15x + 54 = 0, where 15 is the sum of the roots and 54 is their product.
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Community Comments (2)
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Eric Ligi Posts: 6 13.01.2025 / 19:53
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Eric Ligi Posts: 6 13.01.2025 / 19:58
https://www.mathway.com/Algebra this has the same numebers, the first i sent had different numebr, but the solutions is explained better
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