1)x²-5x+6=0 2)y²+8y+16=0 3)-t²-3t+1=0 4)3a²+a=4 5)x²-7x+10=0

Решаем квадратные уравнения.

1) x^2 - 5 * x + 6 = 0;

D = 25 - 24 = 1;

х1 = (5 + 1)/2 = 3;

х2 = (5 - 1)/2 = 2;

2) y^2 + 8 * y + 16 = 0;

D = 64 - 64 = 0;

у = -8/2 = -4;

3) -t^2 - 3 * t + 1 = 0;

D = 9 + 4 = 13;

t1 = (3 + √13)/(-2) = -3,3;

t2 = (3 - √13)/(-2) = 0,3;

4) 3 * a^2 + a - 4 = 0;

D = 1 + 48 = 49;

а1 = (-1 + 7)/6 = 1;

а2 = (-1 - 7)/6 = -8/6 = -4/3;

5) x^2 - 7 * x + 10 = 0;

D = 49 - 40 = 9;

х1 = (7 + 3)/2 = 5;

х2 = (7 - 3)/2 = 2.