9x2-138x-60=0

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Solution for 9x2-138x-60=0 equation:



9x^2-138x-60=0
a = 9; b = -138; c = -60;
Δ = b2-4ac
Δ = -1382-4·9·(-60)
Δ = 21204
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:
$\sqrt{\Delta}=\sqrt{21204}=\sqrt{36*589}=\sqrt{36}*\sqrt{589}=6\sqrt{589}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-138)-6\sqrt{589}}{2*9}=\frac{138-6\sqrt{589}}{18} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-138)+6\sqrt{589}}{2*9}=\frac{138+6\sqrt{589}}{18} $

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