Solve for x in the equation x ^2- 8 x + 41 = 0

x =  4 - 5i,  4 + 5i.

Step-by-step explanation:

This won't factor so we can use competing the square:

x^2 - 8x + 41 = 0

x^2 - 8 x = -41

(x - 4)^2 - 16 = -41

(x - 4)^2 = -25         Taking square roots:

x - 4 = +/-5i

x =  4 - 5i, 4 + 5i.

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32