If 2 and 3 are two roots of the equation 2x^3 | vedclass

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(B) Given the equation $2x^3 + mx^2 - 13x + n = 0$. Since $2$ and $3$ are roots,they must satisfy the equation.For $x = 2$:$2(2)^3 + m(2)^2 - 13(2) +

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$-5, 30$

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(B) Given the equation $2x^3 + mx^2 - 13x + n = 0$. Since $2$ and $3$ are roots,they must satisfy the equation.For $x = 2$:$2(2)^3 + m(2)^2 - 13(2) + n = 0$$16 + 4m - 26 + n = 0$$4m + n = 10$  --- $(i)$For $x = 3$:$2(3)^3 + m(3)^2 - 13(3) + n = 0$$54 + 9m - 39 + n = 0$$9m + n = -15$ --- $(ii)$Subtracting $(i)$ from $(ii)$:$(9m + n) - (4m + n) = -15 - 10$$5m = -25 \Rightarrow m = -5$Substituting $m = -5$ in $(i)$:$4(-5) + n = 10$$-20 + n = 10 \Rightarrow n = 30$Thus,the values are $m = -5$ and $n = 30$.

If $2$ and $3$ are two roots of the equation $2x^3 + mx^2 - 13x + n = 0$,then the values of $m$ and $n$ are respectively

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