25a^2+41a-24=0

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Solution for 25a^2+41a-24=0 equation:



25a^2+41a-24=0
a = 25; b = 41; c = -24;
Δ = b2-4ac
Δ = 412-4·25·(-24)
Δ = 4081
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(41)-\sqrt{4081}}{2*25}=\frac{-41-\sqrt{4081}}{50} $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(41)+\sqrt{4081}}{2*25}=\frac{-41+\sqrt{4081}}{50} $

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