Posted by Queenie on Monday, September 23, 2013 at 10:59pm.
1)
i) use an algrbraic method to find the square root of 2+i√5. give your answer in the form x+iy, where x and y are exact real numbers
ii)hence find in the form x+iy where x and y are exact real numbers, the roots of the equation z^44z^2+9=0
iii) show those roots on an argand diagram (part ii)
iv) given that α is a root of the equation in part (ii) such that 0< or equal to argα< or equal to π/2, sketch on the same argand diagram the locus of zα=z

Pure Mathematics  Steve, Tuesday, September 24, 2013 at 12:39am
2+i√5 = 1/4 (8+4i√5) = 1/4 (10+4i√52) = 1/4 (√10+i√2)^2
so √(2+i√5) = 1/2 (√10+√2i)
The rest should fall right out.

Pure Mathematics  Anonymous, Tuesday, September 24, 2013 at 6:11pm
I don't understand how you got any of that =(

Pure Mathematics  Queenie, Tuesday, September 24, 2013 at 10:41pm
where'd the 1/4 and all that come from?
Answer This Question
Related Questions
 Math PLEASE HELP ASAP  PLEASE INCLUDE SOLUTIONS AND EXPLAIN HOW YOU DID IT ...
 algebra  1)Write the expression 9n^6+7n^36 in quadratic form,if possible A.9(n...
 Math(I Don't Get THIS!!)  15sqrt8x^16/5sqrt2x^4 *I totally need help with this ...
 Math  i^6 = (i^2)^3 = (1)^3 = 1 The square, not the square root of 1 is 1...
 Algebra  Express the following in simplest radical form. All variables ...
 MATH  1. Rosa, Roberto, Andrea, and Inno find an estimate for square root 10. ...
 Algebra  Use the quadratic formula to solve the equation. Give exact answers: ...
 algebra  1.)correct 2.)wrong> the first term is wrong 4(3a^2)^2 = 36a^4 3...
 Math  find the value of k in simplest form for which the larger root of x^25x+...
 algebra  Help Fast PLEASE!! check for corrections on my problems 1.Rewrte the ...
More Related Questions