0.7231x^2+0.277x-0.0692=0

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Solution for 0.7231x^2+0.277x-0.0692=0 equation:



0.7231x^2+0.277x-0.0692=0
a = 0.7231; b = 0.277; c = -0.0692;
Δ = b2-4ac
Δ = 0.2772-4·0.7231·(-0.0692)
Δ = 0.27688308
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{-(0.277)-\sqrt{0.27688308}}{2*0.7231}=\frac{-0.277-\sqrt{0.27688308}}{1.4462} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.277)+\sqrt{0.27688308}}{2*0.7231}=\frac{-0.277+\sqrt{0.27688308}}{1.4462} $

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