SOLUTION: find all solutions of the equation 2x^2 - 8x + 16 = 0 and express them in the form a + bi

Algebra.Com
Question 519839: find all solutions of the equation 2x^2 - 8x + 16 = 0 and express them in the form a + bi
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation.


Notice that the quadratic is in the form of where , , and


Let's use the quadratic formula to solve for "x":


Start with the quadratic formula


Plug in , , and


Negate to get .


Square to get .


Multiply to get


Subtract from to get


Multiply and to get .


Take the square root of to get .


or Break up the expression.


or Break up the fraction for each case.


or Reduce.


So the solutions are or

If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim

RELATED QUESTIONS

Find all solutions of the equation x^2+2x+7=0 and express them in the form... (answered by nyc_function)
Find all solutions of the equation x^2+x+1=0 and express them in the form... (answered by ankor@dixie-net.com)
Find all solutions of the equation, and express them in the form a + bi. {{{ x^2 - 4x +... (answered by psbhowmick)
Find all solutions of the equation x^2+1x+7=0 and express them in the form... (answered by jim_thompson5910)
Find all solutions of the equation x^2−4x+5=0 and express them in the form... (answered by josgarithmetic)
Cant seem to figure this one out :/ Find all solutions of the equation and express... (answered by drk)
Find all solutions of the equation and express them in the form (a+bi) z + 4 + 12/z =... (answered by drk,richwmiller)
Find all solutions of the equation and express them in the form a + bi. x2 − 9x... (answered by richwmiller)
Find all solutions of the equation x+1+(5/x)=0 and express them in the form a+bi: (answered by tommyt3rd)