Question

Cele 6 exercitii din imagine cu tot cu rezolvare va rog frumos
dau coronita
multumesc!

Answer 1

34)4/3x+1=x+53/9⇒⇒
4x+3/3=9x+53/9⇒⇒
9(4x+3)=3(9x+53)⇒⇒
36x+27=27x+159⇒⇒
36x-27x=-27+159⇒⇒9x=132⇒⇒
x=-132/9

36)2x+3=17⇒⇒2x=17-3⇒⇒2x=14⇒x=14/2⇒⇒x=7

38)(x+1)²+(3x-1)²=(x-3)²+(3x+4)²⇒
(x²+2x+1)+(9x²-6x+1)=(x²-6x+9)+(9x²+24x+16)=
x²+2x+1+9x²-6x+1=x²-6x+9+9x²+24x+16⇒
10x²-4x+2=10x²+18x+16⇒
-18x+2-25⇒-18x=-23⇒x=-23/-18

39)x-2/2x+1=3x+2/6x+5⇒
(x-2)(6x+5)=(2x+1)(3x-2)⇒
6x²+5x-12x-10=6x²-4x+3x-2⇒
-7x+x+12⇒⇒-6x+12⇒-6x=-12⇒x=-12/-6⇒x=2
40)y²-6y+8=0
a=1
b=-6
c=8
Δ=b²-4ac⇒36-32⇒Δ=4⇒⇒√Δ=√4⇒Δ=2
y1y2=-b+-√Δ/2a⇒
y1=6+2/2⇒8/2⇒y1=4
y2=6-2/2⇒4/2⇒y2=2
sucees