x^2+3x-78=0

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Solution for x^2+3x-78=0 equation: 



x^2+3x-78=0

a = 1; b = 3; c = -78;
Δ = b2-4ac
Δ = 32-4·1·(-78)
Δ = 321
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{-(3)-\sqrt{321}}{2*1}=\frac{-3-\sqrt{321}}{2}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{321}}{2*1}=\frac{-3+\sqrt{321}}{2}
$

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