3x^2-7x-52=0

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Solution for 3x^2-7x-52=0 equation:



3x^2-7x-52=0
a = 3; b = -7; c = -52;
Δ = b2-4ac
Δ = -72-4·3·(-52)
Δ = 673
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-\sqrt{673}}{2*3}=\frac{7-\sqrt{673}}{6} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{673}}{2*3}=\frac{7+\sqrt{673}}{6} $

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