30a^2+17a-2=0

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Solution for 30a^2+17a-2=0 equation:



30a^2+17a-2=0
a = 30; b = 17; c = -2;
Δ = b2-4ac
Δ = 172-4·30·(-2)
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529}=23$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-23}{2*30}=\frac{-40}{60} =-2/3 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+23}{2*30}=\frac{6}{60} =1/10 $

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