Question

Rezolvati in Q ecuatiile :
a) 14+3(2x+1)=x-9
b) 0,8x+1,2=6
c)0,(6)x-0,(5)=0,5
d)√2x-3=x+3√2

Answer 1

a) 14+3(2x+1)=x-9 
 14+6x+3=x-9 
5x=-26
x=-26/5

b) 0,8x+1,2=6
 0,8x=6-1,2
0,8x=4,8
8x=48
x=6

c)0,(6)x-0,(5)=0,5
6x/9-5/9=1/2
12x-10=9
x=19/12

d)√2x-3=x+3√2
√2x-x=3+3√2
x(√2-1)=3(1+√2)
x=3(1+√2)/(√2-1)
x=3(1+√2)(√2+1)/(√2-1)(√2+1)
x=3(1+√2)²/(2-1)
x=3(1+√2)²