x^2-90x-2250=0

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Solution for x^2-90x-2250=0 equation:



x^2-90x-2250=0
a = 1; b = -90; c = -2250;
Δ = b2-4ac
Δ = -902-4·1·(-2250)
Δ = 17100
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:
$\sqrt{\Delta}=\sqrt{17100}=\sqrt{900*19}=\sqrt{900}*\sqrt{19}=30\sqrt{19}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-90)-30\sqrt{19}}{2*1}=\frac{90-30\sqrt{19}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-90)+30\sqrt{19}}{2*1}=\frac{90+30\sqrt{19}}{2} $

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