Question

Please show me how to work this problem!
x²+50=10x, to solve, simplify and the answer should be in the form of a +bί. Thanks!

Answer 1

x = 5 + 5i or x = 5 - 5i

Answer 2

I know the answer, Just want to know how to work the problem

Answer 3

(x -5 ) ^2 = -25
x -5 = 5i or x-5 = -5i
x = 5 + 5i or x = 5 - 5i

Answer 4

How did you get the (x-5)²=-25

Answer 5

it's called completing the square, a little trick
you can read more abotu that here: http://en.wikipedia.org/wiki/Completing_the_square

basically what you do is rewrite it to the =0

x^2 -10x +50

then halve the then and put it in brackets with the x and substract 5^2 from the total to compensate

(x - 5)^2 +50 - 25

Answer 6

halve the TEN not the THEN

Answer 7

OK, I remember now! Thank you So much!

Answer 8

no worries :)