Question

3^4х+2*16/9*4^2х+2=5 1/16

Answer 1

3^4 x+2×16/9×4^2 x+2 = 81/16
(1241 x)/9+2 = 81/16
(1241 x)/9+2 = (1241 x)/9+18/9:
(1241 x)/9+18/9 = 81/16
(9 (1241 x+18))/9 = 9×81/16
9×81/16 = (9×81)/16:
(9 (1241 x+18))/9 = (9×81)/16
(9 (1241 x+18))/9 = 9/9×(1241 x+18) = 1241 x+18:
1241 x+18 = (9×81)/16
9×81 = 729:
1241 x+18 = 729/16
1241 x+(18-18) = 729/16-18
18-18 = 0:
1241 x = 729/16-(18×16)/16
16 (-18) = -288:
1241 x = 729/16+-288/16
729/16-(288)/16 = (729-288)/16:
1241 x = (729-288)/16
729-288 = 441:
1241 x = 441/16
x = 441/(16×1241)
16×1241 = 19856:
Answer:
| x = 441/19856