I Tavi

I
Tavi
48
I Tavis damatebiTi savarjiSoebi:
1 aageT A da B wertilebis simetriuli wertilebi x da y RerZebis mimarT,
Tu
a) A( – 2;3), B(1; – 2); b) A( – 3; – 5), B(1;4).
2 aageT y = 2x – 1, x∈[1;3] monakveTis simetriuli monakveTebi rogorc x,
aseve y RerZis mimarT.
4 amoxseniT grafikulad:
a) x2 + x – 6 = 0; b) 1,7x2 + 1,7x – 10,2 = 0; g) 3x2 + 15x + 12 = 0;
d) 5x2 = 12; e) 0,2x2 = 1,2; v) 2x2 = 5x;
z) 4x2 + 11x = 0; T) 2,3x2 + 5 = 0; i) x2 + 4x + 5 = 0.
5 amoxseniT gantoleba:
a) 5x2 – 7x = 0; b) 0,3x = 7,2x2 ; g) 8x2 = 5,12;
d) (2x + 5) 2 = 13; e) 12x2 – 9x = 3(1 – 3x); v) (3 – 4x) 2 – 17 = 0;
z) x2 – 3x – 28 = 0; T) 8x2 + x – 75 = 0; i) 3x2 + 11x – 34 = 0;
k) 16x2 – 18x + 5 = 0; l) 2t2 – 4t + 3 = 0; m) 2m2 – 9m + 4 = 0;
n) x2 – 2 3x – 72 = 0; o) x2 – 5 2x + 12 = 0; p) 5x2 – 3x + 2 7 = 0.
6 amoxseniT gantoleba:
a) 12x2 + 2x = 9x2 + 9x – 2; b) 8y2 + 20 + 4y = 11y2 – 7y;
g) 2m(3m – 4) + 4 = 5m – 3; d) 2(x + 1) – 8x2 = 9x – 11x2 ;
e) 7x2 + 4x – 10 = 10x2 – 7x; v) 3(5 – 2z) = z(12z – 2) + 10 – 4z;
7 amoxseniT gantoleba:
a) (x + 2) 2 + x – 4 = x(3x – 7); b) (3p + 5) 2 – p(7p – 3) = 29p + 25;
g) (4t + 5) 2 – (2t + 9) 2 = (t + 2) 2 ; d) (4x – 5) 2 = (3x – 1) 2 – (7x – 6) 2 ;
e) 2(3x – 1) 2 = (6x + 1) 2 – 6x + 1; v) (12y – 5) 2 = (6y – 4) 2 – 9(y – 1).
8 ipoveT gantolebis amonaxsenTa miaxloebiTi mniSvneloba 0,1-mde sizustiT.
a) x2 – 2x – 2 = 0; b) 2x2 – 3x – 1 = 0; g) x2 – 7x + 5 = 0;
d) 2x2 + 15x + 5 = 0; e) 3x2 + 14x + 4 = 0; v) 4x2 + 3x – 2 = 0.
9 ipoveT gantolebis amonaxsenTa simravle:
a) 19t3 – 7t2 = 16t3 + 4t2 + 20t; b) (3 + 2x)(5 – x) = 0;
g) 3x4 + 2x3 + 5x2 = x2 – 3x3; d) x(3 + 4x)(2 – 5x)(8x – 1) = 0;
e) x(x – 2) – 5(x – 2) = 0; v) (5 – x)(x – 2) – 4(x – 5) = 0.
10*. ipoveT gantolebis amonaxsenTa simravle:
a) (x2 – 5) 2 + 4(x2 – 5) – 5 = 0; b) (x2 + 3) 2 + 84 = 19(x2 + 3).