Question

Determinati multimile solutiilor ecuatiilor:
a) x(2x-3)+(3x-4)=7
b) 3x-2(x-5)=12+3(x-2)
c)x(1-x)=(3+x)(2-x)
d)(2x+3)(2x-3)=(2x-1)²
e)9(x-2)²-(3x-2)²=8
f)(x+2)²=(2x+1)²-3x²

Answer 1

a) 2x²-3x+3x-4=7
2x²=7+4
2x²=11/ :2
x²=11/2

b) 3x-2x+10=12+3x-6
3x-2x-3x= -10+12-6
2x=22-6
2x=16 /:2
x= 8

c) x-x= 36+ 3x + 2x +x²
-3x-2x = 36
-5x=36 / •(-1)
x= -36/5

d) 4x²+12x-9= 4x²-4x-1
12x+4x =9-1
16x=8 /:16
x= 2