7. Which of the following most precisely describes the roots of the equation 3x2 + 4x -1 = 0? A 1 rational (double) root В 1 irrational (double) root C 2 rational roots D 2 irrational roots E 2 complex roots (with non zero imaginary parts)

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A: To find the cubic equation with the roots as aB , Br and ra

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Q: Determine the all the roots of z4 +1 = 0

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Q: #3 a and b

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Q: 7. Evaluate jir de 1 2 + 2x2 Solution;

A: Topic:- definite integration  Note:- as per our guideline if more than one question uploaded than…

Q: I Without solving, find the sum and product of the roots of each of the followine equations. 1. 4x…

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Q: 4. If A is the set of roots of the equation x³ – 3x + 2 = 0, then A is equal to a) {1; –3; 2} b)…

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Q: 2. Find the roots of 3x -9x + 2 = 0. Solution: 3x2- 9x = 3(x2-3x + 19 3(x-, 4. X1 =- and X2 = 2. 3I2

A: To find: the roots of the given equation

Q: 7. Which of the following most precisely describes the roots of the equation 3x2 + 4x-1 0?

A: We first compare the given equation with ax2+bx+c=0  so, a=3, b=4, c=-1 The discriminant for the…

Q: would you prove that the answers to the diophantine equation y^2-x^3=0 are the pairs (n^2,n^3) for…

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Q: Number 1a

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Q: Solve for x of the equation 2 In(x+1) – In(5x+1) + In(x-1) = In(2).

A: Given query is to find the value of x.

Q: show that 1+i is a root of the cubic equation 3z^3-5z^2+27z-45=0, find the other two roots

A: 3z3-5z2+27z-45 = 0Using rational root test :±11, ±13, ±31, ±51, ±91, ±93, ±151, ±153, ±451,…

Q: 1. Detemine, whether and -v5 are roots of the equation 10a – 5 = 2a3 - a?.

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Q: 16. The roots of the equation x+ 2px + q = Odiffer by 1. Show that p q - 4.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What are the 4 roots of z in the equation: z^4=1

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Q: Find the value of the real number a if -1 – 2i is a root of the equation z² + az +5 =0. What is the…

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Q: 4. Solve for x: 2x-17 O x = 3 X = O x= 15 Ox-7 Ox-10 X-7

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Q: Assume that P and Q are two positive distinct real roots of the quadratic equation (²₂. - -…

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Q: 4. The roots or solutions of x² + x + 1 = 0 are nonreal. %3D

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Q: different. To show that all the roots of Pn(x)=0 are

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Q: How many positive integer solutions are there of the equation x+y+z=5?

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Q: 6. From Descantes rule of signs, condude that the equation roots. x2n-1=0 has 2n-2 imaginany

A: x2n - 1=0 So, total number of roots are 2n.

Q: 3. Solve for x of the equation 2 In(x+1) – In(5x+1) + In(x-1) = In(2).

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If the roots of equation x² - 2cx + ab = 0 are real and unequal, - then prove that the roots of x²…

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Q: 8. Use a substitution of the form y = (x - c)' to find a general solution to the given equation for…

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Q: (4) Show that in general, the sum of the roots of a quadratic equation ax2 + bx + c = 0 is --…

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Q: Solve for x. 3 In (x-7)=12 Do not round any intermediate computations, and round your answer to the…

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Q: 2. Use the graphing feature of your calculator to find and list all the roots of the given equation.…

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Q: 2. The sum of the roots of the quadratic equation x²-x-6=0 is given by 2 O

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Q: 1. Use the graph of y = VI to estimate the solution(s) to the following equations YA -150 -120 -90…

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Q: What are the solutions of the following equation? 0--x² +2 1x – 98 O Ax= -14 andx=7 O B.x- - 49 and…

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Q: 1. What are the roots of the equation (x + 1)(4x – 3) = 0? C) x= 1, - D) x= 1 A) x = -1,3 B) x= -1,

A: (x+1)(4x-3)=0⇒(x+1)=0 or (4x-3)=0⇒x=-1 or 4x=3⇒x=-1 or x=34⇒x=-1 ,34

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Q: Advanced Math Question

A: To answer the given question we shall use the following rule. Descartes' Rule: The number of…

Q: 8. Which of the following are approximate roots of the equation -óx? + 20 = 43x? a x--7.61, 0.44 c…

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Q: 4. Which of the qundratic equation has no real roots? 1. x*+ 3x - 10 -0 5 Whnt is the nature of…

A: The equation ax2 +bx+c= 0 has real roots if b2 -4ac=0

Q: 7.For which value of k will the roots of 2x + kox+1 = 0 be real? .2 1) 1 2) 2 3) 3

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Q: (4) Show that in general, the sum of the roots of a quadratic equation ax? + bx + c = 0 is whereas…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax² + bx + c = 0 whereas the…

A: See the attachment

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Q: If one of the roots of ax^2 + bx + c is 2/3 + 5/9i where a, b and c are integers, what is the value…

A: Explanation of the answer is as follows

Q: If 1 is one root of the equation kx⁴ + (2k + 5)x³ + (3 – k) = 0, then the value of k is   A. 1 B. -4…

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Q: If the auxiliary roots of a certain HLDE with constant coefficients are 2, -3, and -3, then the…

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