5g^2+3g-7=0

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Solution for 5g^2+3g-7=0 equation: 



5g^2+3g-7=0

a = 5; b = 3; c = -7;
Δ = b2-4ac
Δ = 32-4·5·(-7)
Δ = 149
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-\sqrt{149}}{2*5}=\frac{-3-\sqrt{149}}{10}
$


$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{149}}{2*5}=\frac{-3+\sqrt{149}}{10}
$

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