Question

Use the FOIL method to find the terms of the following multiplication problem.
(4+3i) (6-3i)

Answer 1

i=2, -12/9

Step-by-step explanation:

Step one: Using FOIL: (4+3i) (6-3i)--> 4*6+4*-3i+ 3i*6+ 3i*-3i

Step two: Simplify the new equation--> 24-12i+18i-9i²

Step three: Putting that into the quadratic equation--> -9i²+6i+24

Step four: Use the quadratic formula or the X-method (I'm going to use the X-method)

Step five a: Setting it up to use the X-method--> ax²+bx+c=0

Step five b: a=-9 b=6 c=14

Step six:

Step seven:

Step eight: i= -2, -12/9

Hope that helps! Let me know if you need anymore help!