Question

(100 БАЛЛОВ) Найди значение переменнной t

Answer 1

$\frac{1}{t-7}$ - $\frac{5}{t+7}$ = $\frac{1}{t-7}$ * $\frac{5}{t+7}$

$\frac{(t+7)-5(t-7)}{(t-7)(t+7)}$ = $\frac{5}{(t-7)(t+7)}$

$\frac{t+7-5t+35}{(t-7)(t+7)}$ = $\frac{5}{(t-7)(t+7)}$

$\frac{42-4t}{(t-7)(t+7)}$ = $\frac{5}{(t-7)(t+7)}$   | * (t-7)(t+7)

42-4t = 5

-4t = 5-42

-4t = -37

t = -37 : (-4)

t = $\frac{37}{4}$

t = 9 $\frac{1}{4}$

t = 9,25

Ответ: 9,25