5x^2-18x-10=0

Solution for 5x^2-18x-10=0 equation:

5x^2-18x-10=0

a = 5; b = -18; c = -10;
Δ = b2-4ac
Δ = -182-4·5·(-10)
Δ = 524
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{524}=\sqrt{4*131}=\sqrt{4}*\sqrt{131}=2\sqrt{131}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-2\sqrt{131}}{2*5}=\frac{18-2\sqrt{131}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+2\sqrt{131}}{2*5}=\frac{18+2\sqrt{131}}{10}
$