x^2+4x-22.5=0

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Solution for x^2+4x-22.5=0 equation:



x^2+4x-22.5=0
a = 1; b = 4; c = -22.5;
Δ = b2-4ac
Δ = 42-4·1·(-22.5)
Δ = 106
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{106}}{2*1}=\frac{-4-\sqrt{106}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+\sqrt{106}}{2*1}=\frac{-4+\sqrt{106}}{2} $

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