Question

If x=2 and x=3 are roots of the equation 3x 2 -2kx-2m=0 , find the value of k and m.

Answer 1

X=2
3(2)2-2k(2)-2m=0
12-4k-2m=0
4k+2m=12 -(1)

now
X=3
3(3)2-2k(3)- 2m=0
27-6k-2m=0
6k+2m=27 -(2)
solving the equation by elimination method
6k+2m= 27
4k+2m= 12
(-) (-) (-)
__________
2k = 15
k=15/2 or k=7.5

putting the value of k in equation (2)
4×15/2+2m=12
30+2m=12
2m=12-30
m= -9

Answer 2

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