5x2-9x-2=0

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Solution for 5x2-9x-2=0 equation:



5x^2-9x-2=0
a = 5; b = -9; c = -2;
Δ = b2-4ac
Δ = -92-4·5·(-2)
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-11}{2*5}=\frac{-2}{10} =-1/5 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+11}{2*5}=\frac{20}{10} =2 $

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