Eq with reciprocal

Solve the given equation with a reciprocal member:

a-6/a+10=4/8

Correct answer:

a1 =  0.5944
a2 =  -10.0944

Step-by-step explanation:

a−6/a+10=4/8  a−a6​+10 = 84​ a<>0  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​=2p−q±D​​=2−9.5±114.25​​ a1,2​=−4.75±5.34439 a1​=0.594389582 a2​=−10.094389582  a1​=0.5944

Our quadratic equation calculator calculates it.

a2​=(−10.0944)=−10.0944

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