4.9x^2/21x=1.600334529

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Solution for 4.9x^2/21x=1.600334529 equation: 



4.9x^2/21x=1.600334529

We move all terms to the left:

4.9x^2/21x-(1.600334529)=0



Domain of the equation: 21x!=0

x!=0/21

x!=0

x∈R



We add all the numbers together, and all the variables

4.9x^2/21x-1.600334529=0

We multiply all the terms by the denominator


4.9x^2-(1.600334529)*21x=0

We multiply parentheses

4.9x^2-33.607025109x=0

a = 4.9; b = -33.607025109; c = 0;
Δ = b2-4ac
Δ = -33.6070251092-4·4.9·0
Δ = 1129.432136677
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{-(-33.607025109)-\sqrt{1129.432136677}}{2*4.9}=\frac{33.607025109-\sqrt{1129.432136677}}{9.8}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33.607025109)+\sqrt{1129.432136677}}{2*4.9}=\frac{33.607025109+\sqrt{1129.432136677}}{9.8}
$

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