Question

Rezolvati ecuatiile in Q:
a) 6x+12-5(x-2)=4x-3
b) 5(2x-3) -8(2x+5)=3(6-x)
c) 2[3(5x-1)-2(2x+1)]-5=5[2(3x-1)-1]
d) (√3x-1)² -3(x-1)(x+1)=5-2√3x
e) (3x-2)²-(2x+3)²=5(x-1)(x+3)
f) (x+4)²-(x-5)(x+5)=-7(2x+3)
Va rog ajutati-ma!!!_

Answer 1

a) 6x+12-5(x-2)=4x-3
 6x+12-5x+10=4x-3
x+22=4x-3
3x=25
x=25/3

b) 5(2x-3) -8(2x+5)=3(6-x)
10x-15 -16x-40=18-3x
-55 -6x=18-3x
3x=-73
x=-73/3

c) 2[3(5x-1)-2(2x+1)]-5=5[2(3x-1)-1]
2(15x-3-4x-2)-5=5(6x-2-1)
2(11x-5)-5=5(6x-3)
22x-10-5=30x-15
22x-15=30x-15
22x=30x
x=0

d) (√3x-1)² -3(x-1)(x+1)=5-2√3x
3x²-2√3x+1 -3(x²-1)=5-2√3x
3x²+1 -3x²+3=5
+1 +3=5
nu are solutii


e) (3x-2)²-(2x+3)²=5(x-1)(x+3)
 (9x²-6x+4)-(4x²+12x+9)=5(x²-x+3x-3)
 9x²-6x+4-4x²-12x-9=5x²+10x-15
 -6x+4-12x-9=+10x-15
-18x-5=10x-15
28x=10
x=10/28=5/14

f) (x+4)²-(x-5)(x+5)=-7(2x+3)
 x²+8x+16-x²+25=-14x-21
+8x+16+25=-14x-21
22x=-62
x=62/22=31/11