# Answer to Question #16920 in Geometry for murray

Question #16920

(2x² + 15) + (29x - 45) = 180

Expert's answer

(2x² + 15) + (29x - 45) = 180

2x² + 15 + 29x - 45 = 180

2x² + 29x - 30 - 180=0

& 2x² + 29x - 210=0

D=29^2+4*210*2=2521>0 => there are two different real roots

x1,2=(-29+-sqrt(2521))/4

x1=(-29+sqrt(2521))/4

x2=(-29-sqrt(2521))/4

2x² + 15 + 29x - 45 = 180

2x² + 29x - 30 - 180=0

& 2x² + 29x - 210=0

D=29^2+4*210*2=2521>0 => there are two different real roots

x1,2=(-29+-sqrt(2521))/4

x1=(-29+sqrt(2521))/4

x2=(-29-sqrt(2521))/4

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