Question

(х-4)^2=(х+1)^2 Решите подробно:)

Answer 1

Ответ:

x=1,5

Пошаговое объяснение:

(х-4)^2=(х+1)^2

x^2-8x+16=x^2+2x+1

-10x=-15

x=-15/-10

x=1,5

Проверка

(х-4)^2=(х+1)^2

(1,5-4)^2=(1,5+1)^2

(-2,5)^2=2,5^2

Answer 2

${(x - 4)}^{2} = {(x + 1)}^{2} \\ {x}^{2} - 2 \times x \times 4 + {4}^{2} = {x}^{2} + 2 \times x \times 1 + {1}^{2} \\ {x}^{2} - 8x + 16 = {x}^{2} + 2x + 1 \\ {x}^{2} - {x}^{2} - 8x - 2x = 1 - 16 \\ - 8x - 2x = - 15 \\ - 10x = - 15 \\ x = \frac{ - 15}{ - 10} \\ x = \frac{3}{2} \\ x = 1.5$