(x-1)(x+1)=49.5

Solution for (x-1)(x+1)=49.5 equation:

(x-1)(x+1)=49.5

We move all terms to the left:

(x-1)(x+1)-(49.5)=0

We add all the numbers together, and all the variables

(x-1)(x+1)-49.5=0

We use the square of the difference formula

x^2-1-49.5=0

We add all the numbers together, and all the variables

x^2-50.5=0

a = 1; b = 0; c = -50.5;
Δ = b2-4ac
Δ = 02-4·1·(-50.5)
Δ = 202
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{202}}{2*1}=\frac{0-\sqrt{202}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{202}}{2*1}=\frac{0+\sqrt{202}}{2}
=\frac{\sqrt{}}{2}
$