5x2-7x-2=0

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Solution for 5x2-7x-2=0 equation: 



5x^2-7x-2=0

a = 5; b = -7; c = -2;
Δ = b2-4ac
Δ = -72-4·5·(-2)
Δ = 89
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{-(-7)-\sqrt{89}}{2*5}=\frac{7-\sqrt{89}}{10}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{89}}{2*5}=\frac{7+\sqrt{89}}{10}
$

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