If $\alpha$ and $\beta$ are zeroes of the polynomial $2 x^{2}-9 x+5$, then value of $\alpha^{2}+\beta^{2}$ is

Explanation

Using the sum and product of roots of a quadratic equation, we have α + β = 9/2 and αβ = 5/2. Therefore, α^2 + β^2 = (α + β)^2 - 2αβ = (9/2)^2 - 2(5/2) = 81/4 - 5 = 61/4.

If $\alpha$ and $\beta$ are zeroes of the polynomial $2 x^{2}-9 x+5$, then value of $\alpha^{2}+\beta^{2}$ is

Explanation

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