3x2-1x-200=0

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Solution for 3x2-1x-200=0 equation:



3x^2-1x-200=0
a = 3; b = -1; c = -200;
Δ = b2-4ac
Δ = -12-4·3·(-200)
Δ = 2401
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2401}=49$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-49}{2*3}=\frac{-48}{6} =-8 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+49}{2*3}=\frac{50}{6} =8+1/3 $

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