0.5x^2+4x-77=0

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Solution for 0.5x^2+4x-77=0 equation:



0.5x^2+4x-77=0
a = 0.5; b = 4; c = -77;
Δ = b2-4ac
Δ = 42-4·0.5·(-77)
Δ = 170
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{-(4)-\sqrt{170}}{2*0.5}=\frac{-4-\sqrt{170}}{1} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+\sqrt{170}}{2*0.5}=\frac{-4+\sqrt{170}}{1} $

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