5x^2+2x-165x=0

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Solution for 5x^2+2x-165x=0 equation:



5x^2+2x-165x=0
We add all the numbers together, and all the variables
5x^2-163x=0
a = 5; b = -163; c = 0;
Δ = b2-4ac
Δ = -1632-4·5·0
Δ = 26569
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{26569}=163$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-163)-163}{2*5}=\frac{0}{10} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-163)+163}{2*5}=\frac{326}{10} =32+3/5 $

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