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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

2. Complex Numbers

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Exercise 9 Page 182

Split the equation up— set the real parts equal to each other, and the imaginary parts equal to each other.

a=3, b=- 2

Practice makes perfect

To find the values of a and b that make the given equation true, we need to set the real parts and the imaginary parts of each complex number equal to each other. 3a+( 4b+2)i= 9+( - 6)i ⇕ 3a= 9 and 4b+2= - 6 Now, we can solve these equations.

3a=9 4b+2=- 6

(I): .LHS /3.=.RHS /3.

a=3 4b+2=- 6

(II): LHS-2=RHS-2

a=3 4b=- 8

(II): .LHS /4.=.RHS /4.

a=3 b=- 2

Subchapter links

Exercises p.182-184