5X^2-9x-32=0

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Solution for 5X^2-9x-32=0 equation: 



5X^2-9X-32=0

a = 5; b = -9; c = -32;
Δ = b2-4ac
Δ = -92-4·5·(-32)
Δ = 721
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{721}}{2*5}=\frac{9-\sqrt{721}}{10}
$


$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{721}}{2*5}=\frac{9+\sqrt{721}}{10}
$

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