Question

if x=2and x=3 are solution of equation 3xsaquare-2mx+2n=0 find value of m amd n

Answer 1

Here m=15/2 and n=9 is the ans of this question

Answer 2

x = {2, 3}

p(x) = 3x² - 2m + 2n = 0

putting x = 2 in p(x)

3(2)² - 2m(2) + 2n = 0
→ 4m - 2n = 12 ....1

putting x = 3 in p(x)

3(3)² - 2m(3) + 2n = 0
→ 6m - 2n = 27 ....2

Subtracting 1 from 2:

6m - 2n = 27
- 4m - 2n = 12
-------------------------
2m = 15

→ m = 7.5

4(7.5) - 2n = 12
→ 30 - 2n = 12
→ 2n = 18
→ n = 9

Answer : m = 7.5 and n = 9