The solution to given quadratic equation is x = -0.3851 or x = 10.3851
<em><u>Solution:</u></em>
Given equation is:

To find: solve by quadratic equation formula

Using the above formula,

<u><em>Substituting the values of a = -4 ; b = 40 ; c = 16 in above quadratic formula we get,</em></u>

Thus the solution to given quadratic equation is x = - 0.3851 or x = 10.3851
I'd suggest you begin by subtracting 4 / (x-4) from both sides. Doing that would leave you with 1 / (x-4) - 2 / (x+2) = 0.
LCD is (x-4)(x+2). Mult. all three terms by (x-4)(x+2). The resulting equation is
x+2 - 2(x-4) = 0. Then x+2 = 2x - 8 => x = 10
Subst. 10 for x in the original equation to verify that 10 is indeed a solution.
let's say that sin(θ) = x, then the cos(θ) which is twice the sine has to be 2x, therefore then
