5x^2+x-250=0

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Solution for 5x^2+x-250=0 equation:



5x^2+x-250=0
a = 5; b = 1; c = -250;
Δ = b2-4ac
Δ = 12-4·5·(-250)
Δ = 5001
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{5001}}{2*5}=\frac{-1-\sqrt{5001}}{10} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{5001}}{2*5}=\frac{-1+\sqrt{5001}}{10} $

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