$(x + 2)^2 + (x - 3)^2 = 13$
$x^2 + 4x + 4 + x^2 - 6x + 9 = 13$
$2x^2 - 2x = 0$
2x(x − 1) = 0
2x = 0
x = 0
или
x − 1 = 0
x = 1
Ответ:
$x_1 = 0$;
$x_2 = 1$.

$(3x - 5)^2 - (2x + 1)^2 = 24$
$9x^2 - 30x + 25 - 4x^2 - 4x - 1 = 24$
$5x^2 - 34x = 0$
x(5x − 34) = 0
x = 0
или
5x − 34 = 0
5x = 34
x = 6,8
Ответ:
$x_1 = 0$;
$x_2 = 6,8$.

$(x - 4)(x^2 + 4x + 16) + 28 = x^2(x - 25)$
$x^3 - 64 + 28 = x^3 - 25x^2$
$25x^2 = 36$
$x^2 = \frac{36}{25} = (\frac{6}{5})^2$
$x = ±\frac{6}{5} = ±1,2$
Ответ:
$x_1 = -1,2$;
$x_2 = 1,2$.

$(2x + 1)(4x^2 - 2x + 1) - 1 = 1,6x^2(5x - 2)$
$8x^3 + 1 - 1 = 8x^2 - 3,2x^2$
$3,2x^2 = 0$
x = 0