Given that P(z-M)-0 wherei(1LO(1-20andP and Q are real constants. Write down in a form a+bi and find values of a and N Solve for P and o

Q: Solve by using the quadratic formula: 18x = 21x+4 3 OA. and - 4. 6. 4. O B. and 3. 4 OC. 3 O C. --…

A: Ans:

Q: 5(2-3i) – 4(4+6i)

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Q: I. Solve using De Moivre's Theorem. Find all the solutions to the equation x* = -8 + 8/3i

A: According to the given information, it is required to find all the solutions to the equation using…

Q: Find the k=8 root of the 10th root of 1+i. Express the answer in rectangular form in 4 decimal…

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Q: Select one: O a = 1+iv2 and æ = 1 – iv2 O a = -1 - iv/2 and a = -1+i O not in the list O r = -V2 and…

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Q: Use eliminahon to solve each system Of equationsS 2x43v=6 x +ZV=5

A: We have to find solutions

Q: Find the real component if the nth root of a + bi is determined for a = 10, b = 8, and n = 5. Round…

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Q: Find the value of q such that (3 + 4i)(1 + 2i) (1 + 3i) = q(1 + i).

A: We have to simplify left hand side expression then compare both side to find the value of q.

Q: Express 3-i/2+3i  in the form a + bi

A: Rationalise i^2=-1

Q: 5. Simplify to a C. Write answers in the form a + bi a, beR (g) (1+3i)(1 – 4i) (h) (5 – 2i)(-1+ i)…

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Q: Determine the number of real roots for thsi equation -x squared -5x +14= 0

A: The equation has two real roots which are 2 and -7

Q: Show that the equation is an identity.

A: We have the given equation as 3x-42x+1+5x=6x2-4

Q: Find (root3 / 2 - 1/2i)30 by the de moiver's formula.

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Q: 1. Let z = 3+ 6i and w = a + bi where a, b e R. Without using a calculator, (a) determine , and…

A: Let's find ratio of given complex numbers.

Q: 1. Detemine, whether and-5 are roots of the equation 10a –5 = 2a3 - a?.

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Q: Use the value of the discriminant, b² - 4ac, to determine the number and type of roots for x²-3x+7=0…

A: We have to use the value of the discriminant, b²-4ac, to determine the number and type of roots for…

Q: Solve for z, and give your answer in the form a+bi. (z-2-2i)/(-5-i) = z

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Q: Find all values of the following roots. a) (31)¹/2 b) (-i)¹/4 c) (-1)¹/4

A: According to guidelines we can solve only first three subparts, please repost remaining subparts.

Q: Find all the roots of z = -4 + (4V3)i giving each root in the form re". %3D 8° = -4+ (43) C

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Q: Solve for X, and check the extraneous roots. X/(X + 4) =11/(X2 -16) + 2/1

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Q: 29. Use the quadratic formula to find the roots of the following quadratic: y = 2x² – 11x + 5 -

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Q: Find the real component if the

A: Given,             a+bi Here,         a=9,  b=10, and n=7.

Q: Find all the values for the fifth root of z = 32

A: We have to find all the values for the fifth root of z=32.

Q: Find the distinct roots of (-7 + 2i)3/4

A: Let x= (-7 + 2i)3/4 ⇒x4=-7+2i3 On Simplifying, ⇒x4=-259+286i--(1) Let, x=u+iv Now,…

Q: Let i denote the square root of –1. Suppose z = 12+7i and w = -12 – i. | Find z(z – w). Select one:…

A: Given that  z=12+7i W=-12-i

Q: The quadratic function, f(x) = (x + 1)² +9, is shown in the graph below. 10 a = 15 b = 10 0 This…

A: The given quadratic equation is

Q: Find the 5 fifth roots of -4+5i.

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