7x^2-114x+360=0

Solution for 7x^2-114x+360=0 equation:

7x^2-114x+360=0

a = 7; b = -114; c = +360;
Δ = b2-4ac
Δ = -1142-4·7·360
Δ = 2916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2916}=54$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-114)-54}{2*7}=\frac{60}{14}
=4+2/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-114)+54}{2*7}=\frac{168}{14}
=12
$