9x2-2x-36=0

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Solution for 9x2-2x-36=0 equation:



9x^2-2x-36=0
a = 9; b = -2; c = -36;
Δ = b2-4ac
Δ = -22-4·9·(-36)
Δ = 1300
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:
$\sqrt{\Delta}=\sqrt{1300}=\sqrt{100*13}=\sqrt{100}*\sqrt{13}=10\sqrt{13}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-10\sqrt{13}}{2*9}=\frac{2-10\sqrt{13}}{18} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+10\sqrt{13}}{2*9}=\frac{2+10\sqrt{13}}{18} $

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