5n2+7n-2=0

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Solution for 5n2+7n-2=0 equation: 



5n^2+7n-2=0

a = 5; b = 7; c = -2;
Δ = b2-4ac
Δ = 72-4·5·(-2)
Δ = 89
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{89}}{2*5}=\frac{-7-\sqrt{89}}{10}
$


$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{89}}{2*5}=\frac{-7+\sqrt{89}}{10}
$

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