15.4x^2-32.8x+16.4=0

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Solution for 15.4x^2-32.8x+16.4=0 equation:



15.4x^2-32.8x+16.4=0
a = 15.4; b = -32.8; c = +16.4;
Δ = b2-4ac
Δ = -32.82-4·15.4·16.4
Δ = 65.6
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{-(-32.8)-\sqrt{65.6}}{2*15.4}=\frac{32.8-\sqrt{65.6}}{30.8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32.8)+\sqrt{65.6}}{2*15.4}=\frac{32.8+\sqrt{65.6}}{30.8} $

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