х=17,5...

sonyalovaa @sonyalovaa

July 2022 1 8 Report

Решите пожалуйста
А) х+1/х=6,5
Б) х-1/х=17,5

Answers & Comments

Эрамонд А) $x+ \frac{1}{x} =6,5 \\ x+ \frac{1}{x}- \frac{13}{2}=0 \\ \frac{ 2x^{2} -13x+2}{2x}=0 \\ 
2x^{2} -13x+2=0 \\ D=169-4*2*2=169-16=153 \\ 
 \left \{ {{x_{1} = \frac{13+ \sqrt{153} }{4} } \atop {{x_{2}=\frac{13- \sqrt{153} }{4}}} \right.$

б) $x- \frac{1}{x} =17,5 \\ x-\frac{1}{x} -\frac{35}{2} =0 \\ \frac{2x^{2} -35x-2}{2x} =0 \\ 
2x^{2} -35x-2=0 \\ D=1225-4*(-2)*2=1241 \\ 
 \left \{ {{ x_{1} = \frac{35+ \sqrt{1241} }{4} } \atop {x_{2} = \frac{35- \sqrt{1241} }{4}}} \right.$

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