X-8+20=4x2

Solution for X-8+20=4x2 equation:

X-8+20=4X^2

We move all terms to the left:

X-8+20-(4X^2)=0

determiningTheFunctionDomain
-4X^2+X-8+20=0

We add all the numbers together, and all the variables

-4X^2+X+12=0

a = -4; b = 1; c = +12;
Δ = b2-4ac
Δ = 12-4·(-4)·12
Δ = 193
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{-(1)-\sqrt{193}}{2*-4}=\frac{-1-\sqrt{193}}{-8}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{193}}{2*-4}=\frac{-1+\sqrt{193}}{-8}
$