5x^2-117x+648=0

Solution for 5x^2-117x+648=0 equation:

5x^2-117x+648=0

a = 5; b = -117; c = +648;
Δ = b2-4ac
Δ = -1172-4·5·648
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-117)-27}{2*5}=\frac{90}{10}
=9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-117)+27}{2*5}=\frac{144}{10}
=14+2/5
$