5n^2+7n-6=9

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Solution for 5n^2+7n-6=9 equation:



5n^2+7n-6=9
We move all terms to the left:
5n^2+7n-6-(9)=0
We add all the numbers together, and all the variables
5n^2+7n-15=0
a = 5; b = 7; c = -15;
Δ = b2-4ac
Δ = 72-4·5·(-15)
Δ = 349
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{349}}{2*5}=\frac{-7-\sqrt{349}}{10} $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{349}}{2*5}=\frac{-7+\sqrt{349}}{10} $

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