[tex]\frac{3x}{x^{2}-2x+3}+\frac{6x}{x^{2}-3x+3}=14[/tex] помогите решить. Created by FraerOKAY. algebra-ru

tex] помогите решить...

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August 2022 1 3 Report

[tex]\frac{3x}{x^{2}-2x+3}+\frac{6x}{x^{2}-3x+3}=14[/tex] помогите решить

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$\frac{3x}{x^2-2x+3}+\frac{6x}{x^2-3x+3}=14;\\\\ x^2-2x+3 \neq 0; x^2-3x+3 \neq 0;\\\\ (x-3)(x+1) \neq 0;x^2-3x+3=(x-1.5)^2+0.75>0;\\\\ x \neq 3; x \neq -1;\\\\ \frac{3}{x-2+\frac{3}{x}}+\frac{6}{x-3+\frac{3}{x}}=14;\\\\$

$y=x+\fracNO NUMERIC NOISE KEY 1041no numeric noise key 1040-2.5;\\\\ \fracno numeric noise key 1039no numeric noise key 1038+\fracno numeric noise key 1037no numeric noise key 1036=14;\\\\ 3(y-0.5)+6(y+0.5)=14(y+0.5)(y-0.5);\\\\ 3y-1.5+6y+3=14y^2-3.5;\\\\\ 14y^2-9y-5=0;\\\\D=(-9)^2-4*14*(-5)=361=19^2;\\\\ y_1=\fracNO NUMERIC NOISE KEY 1035no numeric noise key 1034=-\fracNO NUMERIC NOISE KEY 1033no numeric noise key 1032=-\fracNO NUMERIC NOISE KEY 1031no numeric noise key 1030;\\\\ y_2=\fracNO NUMERIC NOISE KEY 1029no numeric noise key 1028=\fracNO NUMERIC NOISE KEY 1027no numeric noise key 1026=1;\\\\$

$x+\frac{3}{x}-2.5=-\frac{5}{14};\\\\14x^2-35x+42+5x=0;\\\\14x^2-30x+42=0;\\\\7x^2-15x+21=0;\\\\D=(-15)^2-4*7*21=-363$

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