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Question

If alpha and beta are the roots of the quadratic equations 9x2-24x+8=0,then find alpha + beta and alphabeta?

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Solution

The given quadratic equation is :9x2 - 24x + 8 = 0Comparing it with standard equation, ax2+bx+c = 0, we geta = 9; b = -24; c = 8Now, α and β are the roots of the above equation.So, α + β = -coefficient of xcoefficient of x2 = 249 = 83αβ = constant termcoefficient of x2 = 89

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