-) What is the nature of the roots for y 2x - 5? Use the disc to determine the nature of the roots.

Q: The center-radius form of 4x^2+24x+36+4y^2-8y=100  can be obtained by adding both sides of the…

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Q: Define the Consequence for Root Finding?

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Q: 23. V216

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Q: state nature of roots of 2x- 4r + 3= 0

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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: nature of the roots

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Q: Find all the 6 roots of -i

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Q: Use the meaning of cube roots to find an exact solution to the equation v*+ 2 =' --2 without using a…

A: The given equation is . The solution can be found by cubing both sides.

Q: state nature of roots of 2x - 4x +3 = 0 %3D

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Q: Use the Intermediate Value Theorem in Exercise to prove thateach equation has a solution. Then use a…

A: Intermediate Value Theorem states that, Let f:[a,b]→ℝ is continuous, and c is a constant number…

Q: Solve for the root using Bisection, Newton Raphson, and Secant Method x³ 2x 5 = 0 -

A: Let us consider the function f(x). The roots of the function using the bisection method is obtained…

Q: 1 + i

A: Let z=x+iy be a complex number. The polar form of the complex number is given by z=rcosθ+isinθ,…

Q: 2. Let r, 2 be the roots of the equation 2x-6x+3=0, construct an equation whose roots and are rr3,…

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Q: alue of the discriminant. ow many roots and what types roots they are. act solutions by using the…

A: value of discriminant =b^2-4ac where a=1, b=-5, c=-24

Q: Using MOSS, find the roots of x3-3x+1.

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Q: * if a^2 - 4b =0 then the roots are

A: Assuming that the given equation a2-4b=0 is a quadratic equation ,where 'a' is a variable and 'b' is…

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

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

A: Given equation is z4=1 To find : roots of the given equation

Q: 15. Given the equation 3x-4x -12 =0, how many roots are there? Rational or irrational?

A: Given equation  3x2-4x-12 = 0 ....... (1) Quadratic formula for the solution of the quadratic…

Q: 25. Vi

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

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Q: What is the third root of unity?

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Q: JUU A 10 3,735 - 3,60O = 135 tan 135° %3D 14) A student attempting to solve this Quadratic Equation:…

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Q: tain the principle root of JZ rectangular form 3-j4

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Q: What is the nature of the roots of 3y"+15y+33? What is the nature of the roots of 4y"-12y+16?

A: Nature of the roots of the differential equation

Q: Find all the distinct 5th roots of 32, then plot the results on an Argand diagram.

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Q: List the solutions of the equation: 0 = 3x2 – 16x 8 • Your answers must be in exact form, do not…

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Q: How to find the primitive root of 19?

A: Since if n is a prime number, then,  if a is the primitive root of n, then aϕ(n)≡1(mod n) We have…

Q: Given that 1 is a double root of q (x)=4x4-15x³+16x²– Chapter 3x-2, find all roots. All the roots of…

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Q: Find the four fourth roots of -16.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Show the work steps for finding the roots of x- 13x+36 algebraically.

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Q: How many complex roots has the equation x⁷ + x⁴ - x² - 3 = 0

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Q: Use Newton's method to calculate the real roots of the following polynomi- als as accurately as…

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Q: - (b) Without extracting the roots, determine which one is greater, VII-5 or, 19 – /13.

A: Solution

Q: 7. * (a) Use the lines through the point (1,1) to describe all the points of the circle x² + y² = 2…

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Q: Use the secant method to determine the root between 5 and 8, of the equation x22 – 69 = 0 and…

A: By secant method Here x2.2-69=x115-69=0 Let fx=x115-69 Here x 5 6 7 8 f(x) -34.5068 -17.4851…

Q: Based on Netonis Lau, A stone 5 thown: 20m/s upwards from a 30 meters above river bridge h(t)= -5t?+…

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Q: What is rhe third root of unity ?

A: This question can be solved using the concept of complex numbers.

Q: Q3/ by using De Moivre's theorem find the third roots of 23 – 1 = iV3

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Q: Find all solutions of 2cos(x−5)=√2 on the interval [2π,4π]. (Leave your answers in exact form and…

A: First of all, consider given equation and simplify.

Q: OShow that every cubic equation of the form x³ + bx2 + c = 0 where b and c are real numbers has at…

A: Given: x3+bx2+c=0, where b and c are real numbers. The objective is to show that every cubic…

Q: • What is the nature of the roots of 3y"+15y+33? What is the nature of the roots of 4y"-12y+16?

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Q: According to Descartes's rule of sign, how many possible positive and negative roots are there for…

A: Answer is  3 positive roots  And 1 negative root. Explanation is given below..

Q: 6. Express the roots of the equation x + 1 = 8(x- 3) in a+ bi form.

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Q: Given the value of the discriminant, which statement describes the nature of the roots correctly?

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

A: Using quadratic formula

Q: Find a zua dra tic equañon J3+1 and 1- 3 whote roots are

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Q: Use the Intermediate Value Theorem to prove thateach equation has a solution. Then use a graphing…

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Q: Given that the equation z2 + (p + iq)z + r + is = 0, where p, q, r, s are real and non-zero has a…

A: Introduction :--