Question

решить систему уровнений

Answer 1

$left { {{x+y=7} atop {x^{2}-9y=7}} right. y=7-x x^{2} -9(7-x)=7 x^{2} -63+9x=7 x^{2} +9x-70=0 D=9^{2} -4*1*(-70)=81+280=361 x_{1}= frac{-9-19}{2*1}= frac{-28}{2}=-14 x_{2}= frac{-9+19}{2*1}= frac{10}{2}=5 -14+y=7 y=21 5+y=7 y=2$
Ответ:(-14;21) и (5;2)

$left { {{xy=12} atop { frac{3}{x}- frac{1}{y}= frac{5}{12} }} right. left { {{y= frac{12}{x} } atop { frac{2}{x}- frac{1}{y}= frac{5}{12} }} right. left { {{y= frac{12}{x} } atop { frac{2}{x}- frac{x}{12}= frac{5}{12} }} right. 24- x^{2}=5x - x^{2}-5x+24=0 x^{2} +5x-24=0 D=5^{2} - 4*1*(-24)=25+96=121 x_{1}= frac{-5-11}{2*1}= frac{-16}{2}=-8 x_{2}= frac{-5+11}{2*1}= frac{6}{2}=3 y_{1}= frac{12}{-8}=-1.5 y_{2} = frac{12}{3}=4$
Ответ: (-8;3) и (3;4)