Question

решите неравенство х^2-(9-x)^2>-2x x^2<(25-x)^2+25xпамагите пажалуста срочно

Answer 1

$1)x^2-(9-x)^2\ \textgreater \ -2x \\ x^2-(81-18x+x^2)\ \textgreater \ -2x \\ x^2-81+18x-x^2\ \textgreater \ -2x \\ -81+18x\ \textgreater \ -2x \\ 18x+2x\ \textgreater \ 81 \\ 20x\ \textgreater \ 81 \\ x\ \textgreater \ \frac{81}{20} =4 \frac{1}{20} =4,05 \\ \\ \\ 2)x^2\ \textless \ (25-x)^2+25x \\ x^2\ \textless \ 625-50x+x^2+25x \\ 0\ \textless \ 625-25x \\ 25x\ \textless \ 625 \\ x\ \textless \ 25$