4x^2-0.0000004x-0.00000004=0

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Solution for 4x^2-0.0000004x-0.00000004=0 equation:



4x^2-0.0000004x-0.00000004=0
We add all the numbers together, and all the variables
4x^2-7x-8-4.0E-4.0E=0
We add all the numbers together, and all the variables
4x^2-7x-29.7462546277=0
a = 4; b = -7; c = -29.7462546277;
Δ = b2-4ac
Δ = -72-4·4·(-29.7462546277)
Δ = 524.940074043
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{524.940074043}}{2*4}=\frac{7-\sqrt{524.940074043}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{524.940074043}}{2*4}=\frac{7+\sqrt{524.940074043}}{8} $

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