How to find the quadratic equation when two roots are given?
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use the k(x2 - (alpa plus beta)x + alpha beta)
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Form an equation whose roots are 2, and - 1212.
Solution:
The given roots are 2 and -1212.
Therefore, sum of the roots, S = 2 + (-1212) = 3232
And tghe product of the given roots, P = 2 ∙ -1212 = - 1.
Therefore, the required equation is x22 – Sx + p
i.e., x22 - (sum of the roots)x + product of the roots = 0
i.e., x22 - 3232x – 1 = 0
i.e, 2x22 - 3x - 2 = 0
Solution:
The given roots are 2 and -1212.
Therefore, sum of the roots, S = 2 + (-1212) = 3232
And tghe product of the given roots, P = 2 ∙ -1212 = - 1.
Therefore, the required equation is x22 – Sx + p
i.e., x22 - (sum of the roots)x + product of the roots = 0
i.e., x22 - 3232x – 1 = 0
i.e, 2x22 - 3x - 2 = 0
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