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2/5a+a=371
We move all terms to the left:
2/5a+a-(371)=0
Domain of the equation: 5a!=0We add all the numbers together, and all the variables
a!=0/5
a!=0
a∈R
a+2/5a-371=0
We multiply all the terms by the denominator
a*5a-371*5a+2=0
Wy multiply elements
5a^2-1855a+2=0
a = 5; b = -1855; c = +2;
Δ = b2-4ac
Δ = -18552-4·5·2
Δ = 3440985
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1855)-\sqrt{3440985}}{2*5}=\frac{1855-\sqrt{3440985}}{10} $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1855)+\sqrt{3440985}}{2*5}=\frac{1855+\sqrt{3440985}}{10} $
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