x2-49=48x

Solution for x2-49=48x equation:

x2-49=48x

We move all terms to the left:

x2-49-(48x)=0

We add all the numbers together, and all the variables

x^2-48x-49=0

a = 1; b = -48; c = -49;
Δ = b2-4ac
Δ = -482-4·1·(-49)
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-48)-50}{2*1}=\frac{-2}{2}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-48)+50}{2*1}=\frac{98}{2}
=49
$