3g^2+10g-13=0

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Solution for 3g^2+10g-13=0 equation:



3g^2+10g-13=0
a = 3; b = 10; c = -13;
Δ = b2-4ac
Δ = 102-4·3·(-13)
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-16}{2*3}=\frac{-26}{6} =-4+1/3 $
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+16}{2*3}=\frac{6}{6} =1 $

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