x^2+42x-184=0

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Solution for x^2+42x-184=0 equation:



x^2+42x-184=0
a = 1; b = 42; c = -184;
Δ = b2-4ac
Δ = 422-4·1·(-184)
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(42)-50}{2*1}=\frac{-92}{2} =-46 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(42)+50}{2*1}=\frac{8}{2} =4 $

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