0.66667x^2-0.08x=1

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Solution for 0.66667x^2-0.08x=1 equation: 



0.66667x^2-0.08x=1

We move all terms to the left:

0.66667x^2-0.08x-(1)=0

a = 0.66667; b = -0.08; c = -1;
Δ = b2-4ac
Δ = -0.082-4·0.66667·(-1)
Δ = 2.67308
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{-(-0.08)-\sqrt{2.67308}}{2*0.66667}=\frac{0.08-\sqrt{2.67308}}{1.33334}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.08)+\sqrt{2.67308}}{2*0.66667}=\frac{0.08+\sqrt{2.67308}}{1.33334}
$

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