Q5. (a) (i) If (a + bi)² = −5+ 12i, find a and b given that a, b € R.(ii) Sketch the graph of the function f(x)x+3x-1*(b) (i) If a and are the roots of the quadratic equation ²equation whose roots are a +23 and 3 + 2a.(ii) Given that y = e³ sin 4x, show that y − 6 + 25y = 0.(c) (i) Sketch the graph of the functiony = 2 + 3 cosfor 1 complete revolution.(ii) If A C B, then simplify (BUA) nA.(2x-)4x + 2 = 0, find the quadratic[8, 7, 5]

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Answered: (a) (i) If (a + b)2 = -5 + 12i, find a…

Math

Algebra

(a) (i) If (a + b)2 = -5 + 12i, find a and b given that a, b € R.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 54E

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Question

Q5. (a) (i) If (a + bi)² = −5+ 12i, find a and b given that a, b € R.
(ii) Sketch the graph of the function f(x)
x+3
x-1*
(b) (i) If a and are the roots of the quadratic equation ²
equation whose roots are a +23 and 3 + 2a.
(ii) Given that y = e³ sin 4x, show that y − 6 + 25y = 0.
(c) (i) Sketch the graph of the function
y = 2 + 3 cos
for 1 complete revolution.
(ii) If A C B, then simplify (BUA) nA.
(2x-)
4x + 2 = 0, find the quadratic
[8, 7, 5]

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