6x2-14x+8=0

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Solution for 6x2-14x+8=0 equation: 



6x^2-14x+8=0

a = 6; b = -14; c = +8;
Δ = b2-4ac
Δ = -142-4·6·8
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-2}{2*6}=\frac{12}{12}
=1
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+2}{2*6}=\frac{16}{12}
=1+1/3
$

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