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Question Number 63291 by aliesam last updated on 02/Jul/19

find some of all real x such that    ((4x^2 +15x+17)/(x^2 +4x+12)) = ((5x^2 +16x+18)/(2x^2 +5x+13))

findsomeofallrealxsuchthat4x2+15x+17x2+4x+12=5x2+16x+182x2+5x+13

Commented by Prithwish sen last updated on 02/Jul/19

((2x^2 +5x+13)/(x^2 +4x+12)) = ((5x^2 +16x+18)/(4x^2 +15x+17))  ((x^2 +x+1)/(x^2 +4x+12)) = ((x^2 +x+1)/(4x^2 +15x+17))  either x^2 +x+1=0  or 4x^2 +15x+17−x^2 −4x−12 =0  3x^2 +11x+5=0  ∴ x = ((−1±(√(−3)))/2) , ((−11±(√(61)))/6)  please check

2x2+5x+13x2+4x+12=5x2+16x+184x2+15x+17x2+x+1x2+4x+12=x2+x+14x2+15x+17eitherx2+x+1=0or4x2+15x+17x24x12=03x2+11x+5=0x=1±32,11±616pleasecheck

Commented by aliesam last updated on 02/Jul/19

well done sir

welldonesir

Commented by Prithwish sen last updated on 02/Jul/19

thank you

thankyou

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