Question

√5x+√2x-6/√5x-√2x-6=4 find x using componendo and dividendo​

Answer 1

Answer:

x = 18/  (3√5 - 5√2)

Step-by-step explanation:

√5x+√2x-6/√5x-√2x-6=4 find x using componendo and dividendo​

if a/b = c/d

then using Componendo and Dividendo

=> (a+b)/(a-b) = (c+d)/(c-d)

a = √5x+√2x-6 & b = √5x-√2x-6

c = 4  & d = 1

a+b = 2(√5x-6)   & a-b = 2√2x    c+d = 5  c-d = 3

=> (2(√5x-6))/(2√2x) = 5/3

=> 3(√5x-6) =  5√2x

=> x (3√5 - 5√2) = 18

=> x = 18/  (3√5 - 5√2)

Answer 2

Answer:

Please see the attachment...

Hope it helped you...