If alpha and beta are quadratic equation 9x²-24x+8=0then find .1) alpha plus beta plus three alpha beta.2)alpha cube plus beta cube
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Answer
1) α+ β+ 3αβ =16/3
2) α³+ β³ = 320/27
Solution
Given ,
α and β are the roots of the equation 9x² - 24x + 8 = 0
We have from sum of the roots
And the product of the roots
Calculating (1) we have ,
Calculating (2) we have :
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