## Step-by-step explanation

Problem to solve:

Learn how to solve trigonometric equations problems step by step online.

$x=\frac{8\pm 4\sqrt{3}}{2}$

Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation x^2-8x+4=0. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=1, b=-8 and c=4. Then substitute the values of the coefficients of the equation in the quadratic formula:<ul><li>\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</li></ul>. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-). Add the values 8 and 4\sqrt{3}. Add the values 8 and -4\sqrt{3}.