x+10x^2-90=0

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Solution for x+10x^2-90=0 equation:



x+10x^2-90=0
a = 10; b = 1; c = -90;
Δ = b2-4ac
Δ = 12-4·10·(-90)
Δ = 3601
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{3601}}{2*10}=\frac{-1-\sqrt{3601}}{20} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{3601}}{2*10}=\frac{-1+\sqrt{3601}}{20} $

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