Question

Va rog frumos
Rezolvati in multimea numerelor reale urmatoarele ecuatii
a) 2 x+7-3(x+4)=5 x+2(x-5)
b) 3 x+4+2(x-3)=4(x+5)+3
c)2(3 x-2)-3( 2 x-3)=3(x+1)+6
d(x-3)(x+2)-2(x+1)=(x-5)totul la a doua
e) (3-x)(x+3)=x+2 totul la a doua -2(x+1)(x-5)

Answer 1

a) 2x+7-3(x+4)=5x+2(x-5)
    2x+7-3x-12=5x+2x-10
    7-12+10=5x+2x-2x+3x
    5=8x
    x=8/5

b) 3x+4+2(x-3)=4(x+5)+3
    3x+4+2x-6x=4x+20+3
    3x+2x-6x-4x=23-4
    -5x=19
    x = - 19/5

c) 2(3x-2)-3(2x-3)=3(x+1)+6
    6x-4-6x+9=3x+3+6
    5-3-6=3x
    -4=3x
    x = - 3/4

d) (3-x)(x+3)=(x+2)² -2(x+1)(x-5)
    3x+9-x²-3x=x²+4x+4-2(x²-5x+x-5)
    9-x²=x²+4x+4-2x²+10x-2x+10
    9-10-4=x²+x²-2x²+12x
    -5=12x
    x= - 12/5