4x^2-x-200=0

Solution for 4x^2-x-200=0 equation:

4x^2-x-200=0

We add all the numbers together, and all the variables

4x^2-1x-200=0

a = 4; b = -1; c = -200;
Δ = b2-4ac
Δ = -12-4·4·(-200)
Δ = 3201
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{3201}}{2*4}=\frac{1-\sqrt{3201}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{3201}}{2*4}=\frac{1+\sqrt{3201}}{8}
$