(x2)+(1.6)=12x

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Solution for (x2)+(1.6)=12x equation:



(x2)+(1.6)=12x
We move all terms to the left:
(x2)+(1.6)-(12x)=0
We add all the numbers together, and all the variables
x^2-12x+1.6=0
a = 1; b = -12; c = +1.6;
Δ = b2-4ac
Δ = -122-4·1·1.6
Δ = 137.6
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{-(-12)-\sqrt{137.6}}{2*1}=\frac{12-\sqrt{137.6}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+\sqrt{137.6}}{2*1}=\frac{12+\sqrt{137.6}}{2} $

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