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: Multiply the following. (5x° + 8y) (5x³ - 8y) (5x3 + 8y) (5x3 - 8y) = (Simplify your answer.)

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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: √128x9y12217

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

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Q: If a + Band of = 5α-3 and ² = 5ß-3, find the equation whose roots are alß and pla.

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

A: Open and ends in opposite direction- odd degree

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

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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: Find all root s 3- V 8i

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Q: Multiply. (√-12) (√-3) (√-12) (√-3) = (Simplify your answer. Type an exact answer, using radicals as…

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

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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: Simplify this complex fraction: 2 +5

A: Given query is to simplify the expression.

Q: Find the roots: x3 = 2 - 3i

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

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Q: f(x) = x³ + 6x² – 13x – 6

A: Given that fx=x3+6x2-13x-6. To determine all the roots and factors of fx. For, consider…

Q: Which of the following are the roots of x -5x-2 = 07

A: we have to find roots of the equation

Q: Find @Er Er? © Ene for -2x3 +5X-4=0 if riz Yo grz ane the roots.

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Q: 15x -10 X-8 3x-2 x2 -12x+32

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Q: Write the following complex expression in Cartesian from. Simplify as much as possible. 10 (√6 +…

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Q: Calculate the discriminant for the following equation and describe the nature of its roots…

A: Given equation -4X^2+11x+20 = 0 Compare it with general form of a quadratic equation ax2+bx+c=0 We…

Q: 2. Simplify completely: (a) √1+i√3

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Q: 6√10x² + 3x√/10 - 10x√/90

A: Please see the below picture for detailed solution.