Question

Valoarea lui x din propozitia x supra radical 0,07{1} = radical 1,13{7} supra 0,4096 este

Answer 1

√0,07(1) = √(71-7)/900 = √64/900 = √64/√900 = 8/30 = 4/15

√1,13(7) = √(1137-113)/900 = √1024/900 = √1024/√900 = 32/30 = 16/15

0,4096 = 4096/10000 = 256/625

⇒ x/4/15 = 16/15/256/625

x×15/4 = 16/15×625/256

x×15/4 = 125/48

x = 125/48 : 15/4

x = 125/48×4/15

x = 25/36