4x2-x-0.73=0

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Solution for 4x2-x-0.73=0 equation:



4x^2-x-0.73=0
We add all the numbers together, and all the variables
4x^2-1x-0.73=0
a = 4; b = -1; c = -0.73;
Δ = b2-4ac
Δ = -12-4·4·(-0.73)
Δ = 12.68
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{12.68}}{2*4}=\frac{1-\sqrt{12.68}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{12.68}}{2*4}=\frac{1+\sqrt{12.68}}{8} $

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