# Answer to Question #8837 in Geometry for THA BOSS

Question #8837

1/2x+1/3x+5+90=180 whats the answer?

Expert's answer

1/(2x)+1/(3x+5)+90=180

=> x < >0, x< > -5/3

1/(2x)+1/(3x+5)=90

(3x+5+2x)/(2x)/(3x+5)=90

(5x+5)/(2x)/(3x+5)=90

(x+1)/(2x)/(3x+5)=18

(x+1)/(3x^2+5x)=36

x+1=108x^2+180x

108x^2+179x-1=0

x1,2=(-179=-sqrt(179^2+4*180))/2/108 - answer

=> x < >0, x< > -5/3

1/(2x)+1/(3x+5)=90

(3x+5+2x)/(2x)/(3x+5)=90

(5x+5)/(2x)/(3x+5)=90

(x+1)/(2x)/(3x+5)=18

(x+1)/(3x^2+5x)=36

x+1=108x^2+180x

108x^2+179x-1=0

x1,2=(-179=-sqrt(179^2+4*180))/2/108 - answer

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