-6x^2+7x+1=0

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Solution for -6x^2+7x+1=0 equation:



-6x^2+7x+1=0
a = -6; b = 7; c = +1;
Δ = b2-4ac
Δ = 72-4·(-6)·1
Δ = 73
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{-(7)-\sqrt{73}}{2*-6}=\frac{-7-\sqrt{73}}{-12} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{73}}{2*-6}=\frac{-7+\sqrt{73}}{-12} $

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