Eq with reciprocal

Solve given equation with reciprocal member:

a-6/a+10=4/8

Correct result:

a1 =  0.5944
a2 =  0

Solution:

a−6/a+10=4/8  a−6a+10=48 a<>0  a2−6+10a=4/8a  a2−6+10a=4/8a a2+9.5a−6=0  p=1;q=9.5;r=−6 D=q2−4pr=9.52−4⋅1⋅(−6)=114.25 D>0  a1,2=−q±D2p=−9.5±114.252 a1,2=−4.75±5.344389581608 a1=0.59438958160799 a2=−10.094389581608   Factored form of the equation:  (a−0.59438958160799)(a+10.094389581608)=0  a1=0.5944

Our quadratic equation calculator calculates it.

a2=0

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