45x^2-392x+784=0

Solution for 45x^2-392x+784=0 equation:

45x^2-392x+784=0

a = 45; b = -392; c = +784;
Δ = b2-4ac
Δ = -3922-4·45·784
Δ = 12544
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12544}=112$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-392)-112}{2*45}=\frac{280}{90}
=3+1/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-392)+112}{2*45}=\frac{504}{90}
=5+3/5
$