14x*14x-x-3=0

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Solution for 14x*14x-x-3=0 equation:



14x*14x-x-3=0
We add all the numbers together, and all the variables
-1x+14x*14x-3=0
Wy multiply elements
196x^2-1x-3=0
a = 196; b = -1; c = -3;
Δ = b2-4ac
Δ = -12-4·196·(-3)
Δ = 2353
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{-(-1)-\sqrt{2353}}{2*196}=\frac{1-\sqrt{2353}}{392} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{2353}}{2*196}=\frac{1+\sqrt{2353}}{392} $

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