Question

a) 3x²-5x+1=(2x-1)²
b) 6(x+5)-3x=21

REZOLVATI ECUATILE VA ROG MULT!!!!!!!!!!!!!

Answer 1

$a) 3x^{2}-5x+1=(2x-1)^{2}$
$3x^{2}-5x+1=4x-3$
$3x^{2}-5x=4x^{2}-4x$
$3x^{2}-5x-4x^{2}+4x=0$
$x\cdot(3x-5-4x+4)=0$
$x\cdot(-x-1)=0$

$x=0$
$-x-1=0$

$x=0$
$x=-1$

$x_{1}=\fbox{-1}~~~;~~~x_{2}=\fbox{0}$

$b) 6(x+5)-3x=21$
$6x+30-3x=21$
$3x+30=21$
$3x=21-30$
$3x=-9$
$x=-9:3$
$x=\fbox{-3}$