4.905x^2-21x+8=0

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Solution for 4.905x^2-21x+8=0 equation:



4.905x^2-21x+8=0
a = 4.905; b = -21; c = +8;
Δ = b2-4ac
Δ = -212-4·4.905·8
Δ = 284.04
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{-(-21)-\sqrt{284.04}}{2*4.905}=\frac{21-\sqrt{284.04}}{9.81} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21)+\sqrt{284.04}}{2*4.905}=\frac{21+\sqrt{284.04}}{9.81} $

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