# If x=2 and x=3 are solution of the equation 3x 2 -2mx+2n=0,then find the value of m and n.

1
aftr 3x is ther any symbol

nd both variables are 4 x.

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aftr 3x is ther any symbol

nd both variables are 4 x.

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2 is the solution of the equation

3(2)²-2m(2) + 2n = 0

12 - 4m + 2n = 0

4m - 2n = 12 ----------(1)

3 is another solution of the equation

3(3)²-2m(3) + 2n = 0

27 - 6m + 2n = 0

6m - 2n = 27 ---------(2)

Subtracting equation (1) from the equation (2)

6m - 2n = 27

4m - 2n = 12

-----------------

2m = 15

m = 7.5

Substitute m = 7.5 in equation (1)

4(7.5) - 2n = 12

30 - 2n = 12

2n = 18

n = 9