X^2-14x+19.5=0

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Solution for X^2-14x+19.5=0 equation:



X^2-14X+19.5=0
a = 1; b = -14; c = +19.5;
Δ = b2-4ac
Δ = -142-4·1·19.5
Δ = 118
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{-(-14)-\sqrt{118}}{2*1}=\frac{14-\sqrt{118}}{2} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+\sqrt{118}}{2*1}=\frac{14+\sqrt{118}}{2} $

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