Question

2019% + 2019-*= 3, then the value of
20196x - 2019-6x
2019* - 2019-X
​

Answer 1

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

Answer 2

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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