can you help me to solve this equation?

P = sqrt(27.8*exp(5*x)-1) == cos((120*x^2+sqrt(2*x))/(17*x-65))^(-1) 

[Alex Sha]

There are multi-solution with real data type:

x: 0.806253525595036

or

x: 1.29507590447776

or

x: 1.5762255940371

Answer 1

[KSSV]

syms x 
P = sqrt(27.8*exp(5*x)-1) == cos((120*x^2+sqrt(2*x))/(17*x-65))^(-1)  ;

s = vpasolve(P,x)

s = 

Answer 2

[VBBV]

syms x real
P = sqrt(27.8*exp(5*x)-1) == acos((120*x^2+sqrt(2*x))/(17*x-65));  % better to use acos function
s = double(vpasolve(P,x))

s = 0.0654 - 32.1398i