Monday

January 26, 2015

January 26, 2015

Posted by **Allie** on Monday, January 31, 2011 at 9:03pm.

x^2-6x+25=0

I know the answer is 3-4i and 3+4i

however, I do not know how to go about finding the these solutions

Thanks :)

- Complex Numbers -
**helper**, Monday, January 31, 2011 at 10:03pmx^2 - 6x + 25 = 0

Subtract 25 from both sides:

x^2 - 6x = -25

Add 9 to both sides:

x^2 - 6x + 9 = -16

Factor the left hand side:

(x-3)^2 = -16

Take the square root of both sides:

|x - 3| = 4i

Eliminate the absolute value:

x - 3 = -4i or x - 3 = 4i

Add 3 to both sides:

x = 3 - 4i or x - 3 = 4i

Add 3 to both sides:

x = 3 - 4i or x = 3 + 4i

- Complex Numbers -
**Allie**, Monday, January 31, 2011 at 11:33pmOh thank you so much

i forgot that when you that the square root of a negative you get the complex #

- Complex Numbers -
**helper**, Tuesday, February 1, 2011 at 2:31pmYou are welcome

**Answer this Question**

**Related Questions**

Algebra 2 - More About Complex Numbers: Solve x and y 4x+5y+13i=7+(6x+5y)i ...

math-complex numbers - Sketch the sets of complex numbers in the complex plane ...

Complex Numbers - The system of equations |z - 2 - 2i| = \sqrt{23}, |z - 8 - 5i...

Math - I am in the 5th grade and my homework tonight is about complex numbers. I...

maths-complex numbers - by using the substitution w = z^3, find all the ...

Algebra 2 - When dealing with imaginary and complex numbers, are there 2 ...

Algebra - Find all complex numbers z such that z^2=2i. Write your solutions in ...

ALGEBRA!! - calculate P(i) for the following polynomial p(x)=x3+2x2-5x+8 Find | ...

algebra - Find the exact solutions to the quadratic equation in the complex ...

LAL! - are these complex sentence. if it is complex, and are the subordinate ...