5a^2-5+3a=0

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Solution for 5a^2-5+3a=0 equation: 



5a^2-5+3a=0

a = 5; b = 3; c = -5;
Δ = b2-4ac
Δ = 32-4·5·(-5)
Δ = 109
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{-(3)-\sqrt{109}}{2*5}=\frac{-3-\sqrt{109}}{10}
$


$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{109}}{2*5}=\frac{-3+\sqrt{109}}{10}
$

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