3(x^2)-61x-58=0

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Solution for 3(x^2)-61x-58=0 equation: 



3(x^2)-61x-58=0

a = 3; b = -61; c = -58;
Δ = b2-4ac
Δ = -612-4·3·(-58)
Δ = 4417
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{-(-61)-\sqrt{4417}}{2*3}=\frac{61-\sqrt{4417}}{6}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-61)+\sqrt{4417}}{2*3}=\frac{61+\sqrt{4417}}{6}
$

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