Use the value of the discriminant, b² - 4ac, to determine the number and type of roots for x²-3x+7=0 a. 2 complex roots 2 real, blonde roots b. 2 real, rational roots 1 real, rational root C. d.

Q: II. Find all real roots of the following equations. 1. x- 10x2+32x-32 =0 2. x- 6x? +11x-6= 0

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Q: Simplify the following con

A: Given,        -13+3i43

Q: Find the complex conjugates for each number below. Please note that the line above the number is the…

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Q: What does Descartes’ Rule of Signs tell you about the real roots of x3 – x2 + 1 = 0 ?

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Q: Which of the following best describes the roots of the equation xr² +6x+4 = 0? (1) they are unequal…

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Q: Determine the general expression for the four roots of v3 – i

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Q: Illustration 2 If the roots of equation - 2cx + ab = 0 are real and unequal, then prove that the…

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Q: Let a be a complex root of x³ + 2x + 6. Find the inverse of a² + 2a + 1 in the form d + ba + ca², d,…

A: We have to find the inverse in the given form.

Q: equation 1.    x² – 5x + 9 = 0  2.     x² – 2x = –10    3.     9x² + 6x + 1 = 0

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Q: 4. Possible roots (degree): Number of real roots: Number of complex roots:

A: Open and ends in opposite direction- odd degree

Q: For which values ​​of a does the equation 3x³-5x²-4x+a=0 have exactly x=3? Determine all real roots…

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Q: Q10.  Find the roots algebraically by factoring:  a) x3 – 8x2-3x +90 b) x3 – 64

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Q: :05 / using complex numbers find roots for the equation 5x²-8x+5=0 -2.5 5 -2.5 5 5 9.3 5 9.3 Option…

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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: For -5+3, write the conjugate of the complex number, then multiply the number and its conjug -5+…

A: The complex conjugate of the complex number a+bi is a-bi

Q: Given the complex numbers, find the roots of the ff: 1) ( -1 )^1/4 2) ( -1-i )^1/3 3) ( -i )^1/3

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Q: -1 + V3i What is the real part of the complex number: 7 = (A 2 V3 B) -1/2 c) -1 D

A: topic - complex numbers

Q: If a is a non-real complex nth root of unity, find the values of:

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Q: 4. Perform the following operations involving complex numbers: a. (2 + 7i) + (3 – 4i) b. (9 + 5i) -…

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Q: Find the 3rd roots of the following complex number: 27cis(174∘) Do not round and type "degree" for…

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Q: 1. Perform the indicated operation, your final answer should be written in the form a+bi, are real…

A: I have solved first part for other part repost question

Q: Given the complex numbers z, =-3+ j4 and 2 12+ j5, find: (a) Z122 (b) (c) Z1-22

A: By using algebraic rules of complex numbers we solve this question

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

A: We know that, 1.Let z =rcosθ +isinθ    then zn =rncosnθ +isinnθ 2. A number u is said to be an n-th…

Q: Express the given complex number in rectangular form (3cjs40) (4cjs80) Answer: a. –6 + 6/3j b 6 +…

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Q: Simplify this complex fraction: 2 +5

A: Given query is to simplify the expression.

Q: Let r₁ and r2 be two different roots of the equation ax² +2bx+c = 0. Without solving the equation,…

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