meshearer
meshearer meshearer
  • 23-03-2017
  • Mathematics
contestada

simplify (10+5i) / (2-i)

Respuesta :

charlottekrist
charlottekrist charlottekrist
  • 23-03-2017
1. Rationalise the denominator 
(20+10i+10i-5)/2^2-i^2

2. Collect like terms
((20-5)+(10i+10i))/2^2-i^2

3. Simplify (20-5)+(10i+10i) to 15+20i
15+20i/2^2-i^2

4. Simplify 2^2 to 4
15+20i/4-i^2

5. Use square rule
15+20i/4-(-1)

6. Simplify brackets
15+20i/4+1

7. Simplify 4+1 to 4
15+20i/5

8. Factor out the common term 5
5(2+4i)/5

9. Cancel 5
3+4i

10. Your final answer
3+4i

Have a nice day ;D
Answer Link
MATHGURU17
MATHGURU17 MATHGURU17
  • 28-03-2017
10+5i/2-i

=3+4i
if you take out the parenthesis

Answer Link

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