If x = 2 and x = 3 are roots of the equation 3x² – 2kx + 2m = 0.

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asked Feb 8 in Class X Maths by aditya23 (-151 points)

If x = 2 and x = 3 are roots of the equation 3x² – 2kx + 2m = 0. Find the values of k and m.

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answered Feb 8 by muskan15 (-1,979 points)

x = 2 is a root of  given equation substitute x = 2 in L.H.S.

L.H.S. = 3(2)2 – 2k × 2 + 2m = 0

12 – 4k + 2m = 0

4k – 2m = 12  …(i)

Similarly when x = 2 is root of given equation

Substitute x = 3  in L.H.S.

L.H.S. = 3(3)2 – 2k × 3 + 2m = 0

27 – 6k + 2m = 0

6k – 2m = 27  …(ii)

On solving equations (i) and (ii), we get

k  = 15/2 and m = 9 

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