Question

Am si eu nevoie de ajutor la ex asetea patru, cine le face corect are coroana. Multumesc !

Answer 1

Răspuns:

Explicație pas cu pas:

a)

x/√6 = 7√30/15 + √30/5

x/√6 = 7√30/15 + 3√30/15

x/√6 = 10√30/15

x = √6*10√30/15 = 2√180/3 = 2*6√5/3 = 4√5

_________

b)

x/√20 = √320/10 + 3√80/10 = 2√80/10 + 3√80/10 = 5√80/10 = √80/2

x = √20*√80/2 = √1600/2 = 40/2 = 20

__________

c)

x/√24 = √150/4 + 3√96/16 = 5√6/4 + 3*4√6/16 = 5√6/4 + 3√6/4 = 8√6/4

x/√24 = 2√6

x = √24*2√6 = 2√6*2√6 = 24

______________

d)

x/√12 = 3√60/4 + 3√20/√27 - √12/√5 - 4√135/9

= 6√15/4 + 6√5/3√3 - 2√3/√5 - 12√15/9

= 3√15/2 + 2√15/3 - 2√15/5 - 4√15/3

= 3√15/2 - 2√15/3 - 2√15/5

= 45√15/30 - 20√15/30 - 12√15/30 = 13√15/30

x = √12*13√15/30 = 2√3*13√15/30 = 13√45/15 = 39√5/15 = 13√5/5