Welcome :: Homework Help and Answers :: Mathskey.com

Recent Visits

    
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

774,903 users

solve the equation

0 votes
3x^2-4x+5=0
asked Oct 13, 2018 in ALGEBRA 2 by anonymous

1 Answer

0 votes

The Quadratic Equation

3x^2 - 4x + 5  =  0

Compare it to quadratic form ax^2 + bx  =  0

a = 3, b = -4, c = 5

Roots are  

x  =  [ - ± √(b^2 - 4ac) ] / 2a

 =  [ - (-4) ± √((-4)^2 - 4(3)(5)) ] / 2(3)

 =  [ 4  ± √(16 - 60) ] / 6

 =  [ 4  ± √(-44) ] / 6

 =  [ 4  ± 2i√11 ] / 6

 =  [ 4  + 2i√11 ] / 6          ;        =  [ 4  - 2i√11 ] / 6

 =  4/6  + (2i√11/6            ;        =   4/6  -  (2i√11)/6

 =  2/3  + i(2/3)√11          ;        =   2/3  -  i(2/3)√11

Answer :

The Solutions are x  =  2/3  + i(2/3)√11  and   =  2/3  -  i(2/3)√11.

answered Oct 14, 2018 by homeworkhelp Mentor

Related questions

...