((4a)/(a+15))=(4/(a-9))

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Solution for ((4a)/(a+15))=(4/(a-9)) equation:


D( a )

a+15 = 0

a-9 = 0

a+15 = 0

a+15 = 0

a+15 = 0 // - 15

a = -15

a-9 = 0

a-9 = 0

a-9 = 0 // + 9

a = 9

a in (-oo:-15) U (-15:9) U (9:+oo)

(4*a)/(a+15) = 4/(a-9) // - 4/(a-9)

(4*a)/(a+15)-(4/(a-9)) = 0

(4*a)/(a+15)-4*(a-9)^-1 = 0

(4*a)/(a+15)-4/(a-9) = 0

(4*a*(a-9))/((a+15)*(a-9))+(-4*(a+15))/((a+15)*(a-9)) = 0

4*a*(a-9)-4*(a+15) = 0

4*a^2-40*a-60 = 0

4*a^2-40*a-60 = 0

4*(a^2-10*a-15) = 0

a^2-10*a-15 = 0

DELTA = (-10)^2-(-15*1*4)

DELTA = 160

DELTA > 0

a = (160^(1/2)+10)/(1*2) or a = (10-160^(1/2))/(1*2)

a = (4*10^(1/2)+10)/2 or a = (10-4*10^(1/2))/2

4*(a-((10-4*10^(1/2))/2))*(a-((4*10^(1/2)+10)/2)) = 0

(4*(a-((10-4*10^(1/2))/2))*(a-((4*10^(1/2)+10)/2)))/((a+15)*(a-9)) = 0

(4*(a-((10-4*10^(1/2))/2))*(a-((4*10^(1/2)+10)/2)))/((a+15)*(a-9)) = 0 // * (a+15)*(a-9)

4*(a-((10-4*10^(1/2))/2))*(a-((4*10^(1/2)+10)/2)) = 0

( a-((10-4*10^(1/2))/2) )

a-((10-4*10^(1/2))/2) = 0 // + (10-4*10^(1/2))/2

a = (10-4*10^(1/2))/2

( a-((4*10^(1/2)+10)/2) )

a-((4*10^(1/2)+10)/2) = 0 // + (4*10^(1/2)+10)/2

a = (4*10^(1/2)+10)/2

a in { (10-4*10^(1/2))/2, (4*10^(1/2)+10)/2 }

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