5x2-9x-13=0

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Solution for 5x2-9x-13=0 equation:



5x^2-9x-13=0
a = 5; b = -9; c = -13;
Δ = b2-4ac
Δ = -92-4·5·(-13)
Δ = 341
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{-(-9)-\sqrt{341}}{2*5}=\frac{9-\sqrt{341}}{10} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{341}}{2*5}=\frac{9+\sqrt{341}}{10} $

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