5n2+42n+49=0

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Solution for 5n2+42n+49=0 equation:



5n^2+42n+49=0
a = 5; b = 42; c = +49;
Δ = b2-4ac
Δ = 422-4·5·49
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(42)-28}{2*5}=\frac{-70}{10} =-7 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(42)+28}{2*5}=\frac{-14}{10} =-1+2/5 $

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