x^2-146x+48^2=0

Solution for x^2-146x+48^2=0 equation:

x^2-146x+48^2=0

We add all the numbers together, and all the variables

x^2-146x+2304=0

a = 1; b = -146; c = +2304;
Δ = b2-4ac
Δ = -1462-4·1·2304
Δ = 12100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12100}=110$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-146)-110}{2*1}=\frac{36}{2}
=18
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-146)+110}{2*1}=\frac{256}{2}
=128
$