Question:
α and β are the roots of the equation x2+9x+18=0, where α>β. Then for the equation x2-ax+b=0 with its roots as (α+β) and (-3α), find the value of (a+b).
α and β are the roots of the equation x2+9x+18=0, where α>β. Then for the equation x2-ax+b=0 with its roots as (α+β) and (-3α), find the value of (a+b).
Updated On: Aug 31, 2024
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- -81
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The Correct Option is B
Solution and Explanation
α = -3, β = -6
⇒ (α+β) = -9 , (-3α) = 9
⇒ a = 0, b = -81
⇒ (a+b) = -81
So, the correct option is (B): -81.
⇒ (α+β) = -9 , (-3α) = 9
⇒ a = 0, b = -81
⇒ (a+b) = -81
So, the correct option is (B): -81.
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