X2-52x+672=0

Solution for X2-52x+672=0 equation:

X2-52X+672=0

We add all the numbers together, and all the variables

X^2-52X+672=0

a = 1; b = -52; c = +672;
Δ = b2-4ac
Δ = -522-4·1·672
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-52)-4}{2*1}=\frac{48}{2}
=24
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-52)+4}{2*1}=\frac{56}{2}
=28
$