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ICSE Class 10 Answered

If x=2 and x=3 are the roots of the equation 3x2-2kx+2m=0. then what is the value of m. 
Asked by mishraurmila597 | 17 Aug, 2020, 08:16: AM
answered-by-expert Expert Answer

Given, x=2 and x=3 are the roots of the equation 3x2 - 2kx + 2m = 0    

Therefore, x=2 and x=3 will satisfy the given equation. So, we have:

12 - 4k + 2m = 0  … (i)

27 - 6k + 2m = 0  … (ii)

Subtracting (ii) from (i),

-15 + 2k = 0

k = 15/2

Now, substitute this value of k in any one of equation to get the value of m.

Answered by Renu Varma | 17 Aug, 2020, 12:00: PM

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