35r2+3r-2=0

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Solution for 35r2+3r-2=0 equation:



35r^2+3r-2=0
a = 35; b = 3; c = -2;
Δ = b2-4ac
Δ = 32-4·35·(-2)
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-17}{2*35}=\frac{-20}{70} =-2/7 $
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+17}{2*35}=\frac{14}{70} =1/5 $

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