0 %
Úprava zlomku v reálných číslech
Uprav v \mathbb{R} a urči podmínky:
\large \Large \frac{{ - x}}{{3-x}}\large - \Large \frac{3}{{x-3}}\large
\frac{{ – x}}{{3\ –\ x}} – \frac{3}{{x\ –\ 3}} = \frac{{ – x}}{{3\ –\ x}} + \frac{3}{{3\ –\ x}}= \frac{{x\ –\ 3}}{{3\ –\ x}} =
= -1
\large x \neq 3
\frac{{ – x}}{{3\ –\ x}} – \frac{3}{{x\ –\ 3}} = \frac{{ – x}}{{3\ +\ x}} + \frac{3}{{3\ –\ x}}= \frac{{3\ –\ x}}{{3\ +\ x}} =
= 0
\large x \neq 3
\frac{{ – x}}{{3\ –\ x}} – \frac{3}{{x\ –\ 3}} = \frac{{ – x}}{{3\ –\ x}} + \frac{3}{{x\ +\ 3}}= \frac{{3\ +\ x}}{{3\ –\ x}} =
= 1
\large x \neq 3
\frac{{ – x}}{{3\ –\ x}} – \frac{3}{{x\ –\ 3}} = \frac{{ – x}}{{3\ –\ x}} + \frac{3}{{3\ –\ x}}= \frac{{3\ –\ x}}{{3\ –\ x}} =
= 1
\large x \neq 3