8x2+40x-2500=0

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Solution for 8x2+40x-2500=0 equation:



8x^2+40x-2500=0
a = 8; b = 40; c = -2500;
Δ = b2-4ac
Δ = 402-4·8·(-2500)
Δ = 81600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{81600}=\sqrt{1600*51}=\sqrt{1600}*\sqrt{51}=40\sqrt{51}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(40)-40\sqrt{51}}{2*8}=\frac{-40-40\sqrt{51}}{16} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(40)+40\sqrt{51}}{2*8}=\frac{-40+40\sqrt{51}}{16} $

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