SOLUTION: What is "x(squared)+6x+15=0" in a+bi form?

Algebra.Com
Question 568299: What is "x(squared)+6x+15=0" in a+bi form?
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


Square to get .


Multiply to get


Subtract from to get


Multiply and to get .


Simplify the square root (note: If you need help with simplifying square roots, check out this solver)


Break up the fraction.


Reduce.


or Break up the expression.


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

express x squared -8x+20=0 in simplest a+bi form (answered by jsmallt9)
what is i^17 in the usual a + bi... (answered by Mathtut)
What is (3i)^4 + 1 in standard form... (answered by jim_thompson5910)
What is (3i)^4 + 1 in standard form... (answered by DrBeeee)
what is the answer to 5x^2+2x+2=0 in a+bi... (answered by stanbon)
Find the solution set in a +bi form: 6x^2 + 4x +1 =0 I tried and here is what I have... (answered by ewatrrr,Alan3354)
Solve the equation. Write the solutions in the form a+bi. x^2+10x+30=0 (answered by jim_thompson5910,stanbon)
express your answer in simplest a+bi form: x^2 + 8x + 25... (answered by Earlsdon)
(x-2)^2=-25 in a+bi... (answered by stanbon)