$3x^2 - 7x + 4 = 0$
$D = 7^2 - 4 * 3 * 4 = 49 - 48 = 1$
$x = \frac{7 ± \sqrt{1}}{2 * 3}$
$x_1 = \frac{7 - 1}{2 * 3} = \frac{6}{6} = 1$
$x_2 = \frac{7 + 1}{2 * 3} = \frac{8}{6} = \frac{4}{3} = 1\frac{1}{3}$
Ответ:
$x_1 = 1$;
$x_2 = 1\frac{1}{3}$.

$5x^2 - 8x + 3 = 0$
$D = 8^2 - 4 * 5 * 3 = 64 - 60 = 4$
$x = \frac{8 ± \sqrt{4}}{2 * 5}$
$x_1 = \frac{8 - 2}{2 * 5} = \frac{6}{10} = 0,6$
$x_2 = \frac{8 + 2}{2 * 5} = \frac{10}{10} = 1$
Ответ:
$x_1 = 0,6$;
$x_2 = 1$.

$3x^2 - 13x + 14 = 0$
$D = 13^2 - 4 * 3 * 14 = 169 - 168 = 1$
$x = \frac{13 ± \sqrt{1}}{2 * 3}$
$x_1 = \frac{13 - 1}{2 * 3} = \frac{12}{6} = 2$
$x_2 = \frac{13 + 1}{2 * 3} = \frac{14}{6} = \frac{7}{3} = 2\frac{1}{3}$
Ответ:
$x_1 = 2$;
$x_2 = 2\frac{1}{3}$.

$2y^2 - 9y + 10 = 0$
$D = 9^2 - 4 * 2 * 10 = 81 - 80 = 1$
$y = \frac{9 ± \sqrt{1}}{2 * 2}$
$y_1 = \frac{9 - 1}{2 * 2} = \frac{8}{4} = 2$
$y_2 = \frac{9 + 1}{2 * 2} = \frac{10}{4} = \frac{5}{2} = 2\frac{1}{2}$
Ответ:
$y_1 = 2$;
$y_2 = 2\frac{1}{2}$.

$5y^2 - 6y + 1 = 0$
$D = 6^2 - 4 * 5 * 1 = 36 - 20 = 16$
$y = \frac{6 ± \sqrt{16}}{2 * 5}$
$y_1 = \frac{6 - 4}{2 * 5} = \frac{2}{10} = 0,2$
$y_2 = \frac{6 + 4}{2 * 5} = \frac{10}{10} = 1$
Ответ:
$y_1 = 0,2$;
$y_2 = 1$.

$4x^2 + x - 33 = 0$
$D = 1^2 - 4 * 4 * (-33) = 1 + 528 = 529$
$x = \frac{-1 ± \sqrt{529}}{2 * 4}$
$x_1 = \frac{-1 - 23}{2 * 4} = \frac{-24}{8} = -3$
$x_2 = \frac{-1 + 23}{2 * 4} = \frac{22}{8} = \frac{11}{4} = 2\frac{3}{4}$
Ответ:
$x_1 = -3$;
$x_2 = 2\frac{3}{4}$.

$y^2 - 10y - 24 = 0$
$D = 10^2 - 4 * 1 * (-24) = 100 + 96 = 196$
$y = \frac{10 ± \sqrt{196}}{2}$
$y_1 = \frac{10 - 14}{2} = \frac{-4}{2} = -2$
$y_2 = \frac{10 + 14}{2} = \frac{24}{2} = 12$
Ответ:
$y_1 = -2$;
$y_2 = 12$.

$p^2 + p - 90 = 0$
$D = 1^2 - 4 * 1 * (-90) = 1 + 360 = 361$
$p = \frac{-1 ± \sqrt{361}}{2}$
$p_1 = \frac{-1 - 19}{2} = \frac{-20}{2} = -10$
$p_2 = \frac{-1 + 19}{2} = \frac{18}{2} = 9$
Ответ:
$p_1 = -10$;
$p_2 = 9$.