15x^2+59x-4=0

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Solution for 15x^2+59x-4=0 equation:



15x^2+59x-4=0
a = 15; b = 59; c = -4;
Δ = b2-4ac
Δ = 592-4·15·(-4)
Δ = 3721
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3721}=61$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(59)-61}{2*15}=\frac{-120}{30} =-4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(59)+61}{2*15}=\frac{2}{30} =1/15 $

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