Attempt following question by selecting a choice to answer.
c
Find the solution of the equation
e9x+e- 9x2 = 4.D cA.
c x = 15.746, 1.746
B.
c x = 0.0951, - 0.2292
C.
c x = - 0.2292, 0.2292
D.
c x = -1.6826, 0.0951
c
C
Step 1: e9x+e-9x2 = 4
Step 2: e9x + e-9x = 8
Step 3: e9x + 1e9x = 8
Step 4: (e9x)2 - 8e9x + 1 = 0
Step 5: e9x = (8 ±[64 - 4])2[Quadratic formula.]
Step 6: e9x = 8 ± 2152 = 4 ± 15
Step 7: e9x = 4 + 15 or ex = 4 - 15
Step 8: x = 19(ln (4 + 15)), 19(ln (4 - 15))[Change it into logarithmic form.]
Step 9: x = 19(ln (4 + 15)) = 19(ln 7.872) = 0.2292
Step 10: x = 19ln (4 - 15) = - 19(ln (4 + 15)) = - 0.2292[Multiply and divide 4 - 15 by its conjugate and simplify.]
Step 11: So, x = - 0.2292, 0.2292