SOLUTION: What are factors of -36 that when you add them it will equal -36 and when you multiply them you get -36

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What are factors of -36 that when you add them it will equal -36 and when you multiply them you get -36      Log On


   



Question 429760: What are factors of -36 that when you add them it will equal -36 and when you multiply them you get -36
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I'll say the factors are conjugate complex numbers
+%28a+%2B+b%2Ai%29%2A%28a+-+b%2Ai%29+=+-36+
+2a+=+-36+
+a+=+-18+
and
+%28+-18+%2B+b%2Ai+%29%2A%28+-18+-+b%2Ai+%29+=+-36+
+324+-+b%5E2+%2A+i%5E2+=+-36+
+b%5E2+=+-360+
+b+=+6%2Asqrt%2810%29%2Ai+
----------------
+%28-18+-+6%2Asqrt%2810%29+%29%2A%28+-18+%2B+6%2Asqrt%2810%29%29+
+324+-+36%2A10+
+324+-+360+=+-36+
The factors are
+-18+-+6%2Asqrt%2810%29+ and
-+18+%2B+6%2Asqrt%2810%29+