SOLUTION: If 3+2i is a solution for x^2+mx+n=0, where m and n are real numbers, what is the value of m?

Question 120366: If 3+2i is a solution for x^2+mx+n=0, where m and n are real numbers, what is the value of m?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If is a solution, this means

Start with the given equation

Subtract 3 from both sides

Divide both sides by 2 to isolate "i"

Replace i with . Remember

Square both sides

Distribute the exponent

Square 2 to get 4

Rearrange the terms

Add 1 to both sides

Foil

Distribute

Combine like terms

Multiply both sides by the LCD 4 to eliminate any fractions

Distribute. Notice how the fractions have been eliminated.

So the quadratic that has the solution is

Since m is the coefficient for the x term in , this means and that

-------------------------------------------
Answer:

So the value of m is

Check:

You can check your answer by using the quadratic formula
RELATED QUESTIONS
If {{{ 3 + 2i }}} is a solution for {{{ x^2+mx+n=0 }}}, where m and n are real numbers,... (answered by stanbon)

If 2 + 2i is a solution for x2 + mx + n = 0, where m and n are real numbers, what is the... (answered by lynnlo)

This is related to quadratic equations and complex numbers. The equation is x^2+mx+n=0... (answered by EMStelley,Mathtut)

The two positive integer solutions of the equation x^2 - mx + n = 0 are k and t, where m... (answered by robertb)

if m and n are real numbers, i^2 =-1, and (m-m) -4i =7+ni, what is the value of... (answered by Fombitz)

When the polynomial 2x^3+5x^2+mx+n is divided by 2x+1 where m and n are constants ,the... (answered by josgarithmetic,greenestamps)

Given m/(1+i)=1-ni, m and n are real numbers, what is the value of m+ni? (answered by ptaylor)

can u help me on this hehe i need 3 examples of every law of exponents(FIRST TO FOURTH... (answered by josgarithmetic)

can you help me on this hehe i need 3 examples of every law of exponents(FIRST TO FOURTH... (answered by Solver92311)