9x^2-10x-90=0

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Solution for 9x^2-10x-90=0 equation:



9x^2-10x-90=0
a = 9; b = -10; c = -90;
Δ = b2-4ac
Δ = -102-4·9·(-90)
Δ = 3340
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:
$\sqrt{\Delta}=\sqrt{3340}=\sqrt{4*835}=\sqrt{4}*\sqrt{835}=2\sqrt{835}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-2\sqrt{835}}{2*9}=\frac{10-2\sqrt{835}}{18} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+2\sqrt{835}}{2*9}=\frac{10+2\sqrt{835}}{18} $

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