5x^2+25x-4500=0

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Solution for 5x^2+25x-4500=0 equation:



5x^2+25x-4500=0
a = 5; b = 25; c = -4500;
Δ = b2-4ac
Δ = 252-4·5·(-4500)
Δ = 90625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{90625}=\sqrt{625*145}=\sqrt{625}*\sqrt{145}=25\sqrt{145}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-25\sqrt{145}}{2*5}=\frac{-25-25\sqrt{145}}{10} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+25\sqrt{145}}{2*5}=\frac{-25+25\sqrt{145}}{10} $

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