2019% + 2019-*= 3, then the value of
20196x - 2019-6x
2019* - 2019-X
Answers
Answer:
x + 34 + x - 2c = 6x + 514 3(x + 3) + 2(x - 2)12 = x + 514 3x + 9 ... If 4x+3+6 x−2=146x+5, then the value ... 35−30=36x −35x 5=x. December 26, 2019 avatar
Given : 2019^x+2019^-x=3
To Find : value of √2019^6x-√2019^-6x÷2019^x-2019^-x
Solution:
2019^x+2019^-x=3
Let say 2019^x = a
=> 2019^-x = 1/a
a + 1/a = 3
(√2019^6x-√2019^-6x)÷ (2019^x-2019^-x)
= (2019^3x - 2019^-3x)÷ (2019^x-2019^-x)
= ( a³ - 1/a³) ÷ (a -1/a)
m³ - n³ = (m - n)³ + 3mn(m - n)
m = a n = 1/a
=(a - 1/a)³ + 3a(1/a)(a - 1/a) ÷ (a -1/a)
= (a - 1/a)² + 3
= (a + 1/a)² - 4 + 3
= (a + 1/a)² - 1
= 3² - 1
= 8
√2019^6x-√2019^-6x÷2019^x-2019^-x = 8
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