4x^2-1x-7=0

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Solution for 4x^2-1x-7=0 equation: 



4x^2-1x-7=0

a = 4; b = -1; c = -7;
Δ = b2-4ac
Δ = -12-4·4·(-7)
Δ = 113
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{113}}{2*4}=\frac{1-\sqrt{113}}{8}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{113}}{2*4}=\frac{1+\sqrt{113}}{8}
$

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