9x^2-61x-206=0

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Solution for 9x^2-61x-206=0 equation:



9x^2-61x-206=0
a = 9; b = -61; c = -206;
Δ = b2-4ac
Δ = -612-4·9·(-206)
Δ = 11137
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{-(-61)-\sqrt{11137}}{2*9}=\frac{61-\sqrt{11137}}{18} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-61)+\sqrt{11137}}{2*9}=\frac{61+\sqrt{11137}}{18} $

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