Question

5(5^x+5^-x)=26 solve the equation​

Answer 1

Answer:

5(5x + 5-x) = 26

let 5x  = y so 5-x = 1/y

5(y + 1/y) = 26

5( (y2 + 1)/y ) = 26

(y2 + 1)/y = 26/5

so 5x = 5  

x = 1Step-by-step explanation:

Answer 2

5(5^x+5^_x)=26

5(5^x+1/5^x)=26

5x=t

5(t+1/t)=26

5t^2+5=26t

5t^2_26t+5=0

5t^2_25t_t+5=0

(5t_1)(t_5)

t=5,1/5

5^x=t

5^x=5=5'

x=1

5^x=1/5=5^_1

x=_1

x=+1