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If 2 and 3 are the roots of the polynomial 3x^2 - 2kx + 2m=0 then find the value of m

Jun 24, 2020

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You could plug in the values of 2 and 3 to create a system of equations with two variables.

However, since this problem is only asking for the value of m, we can use Vieta's Formula instead.

Vieta's Formula states that the product of the roots in the equation $$ax^2+bx+c=0$$ equals $$\frac{c}{a}$$. In our equation, c = 2m and a = 3.

So $$\frac{2m}{3}=2*3$$.

Solve to get m = 9.

Jun 24, 2020