Question

Решите уравнение:
(3х-5)²-(х+3)²=0

Answer 1

(3х-5)²-(х+3)²=0

(3x-5+x+3)(3x-5-x-3)=0

(4x-2)(2x-8)=0

4x-2=0

x=1/2

или

2x-8=0

x=4

ответ: 1/2; 4

Answer 2

$9 {x}^{2} - 30x + 25 - {x}^{2} - 6x - 9 = 0 \\ 8 {x}^{2} - 36x + 16 = 0 \\ 2 {x}^{2} - 9x + 4 = 0 \\ d = 81 - 32 = 49 \\ x1 = \frac{9 + 7}{4} = 4 \\ x2 = \frac{9 - 7}{4} = \frac{2}{4} = \frac{1}{2} = 0.5$