What is the first step in finding the three cube roots of -1?

Q: Solve for the roots in simplest form by completing the square: 2x + 28x – 30 = 0 -

A: given 2x2+28x-30=0 claim solve for roots in simplest form by completing square

Q: how about complex number solutions?

A: Apologies for the inconvenience. One solution is x=-1, other 5 solutions we will get from x5=-32.

Q: What is/are the value/s of k if the roots of X2 + x + k = 4 are equal?

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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: 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: Find the roots of x+2x+5=0 by using quadratic formula.

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

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Q: how did you find the root zeros

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Q: Obtain all four roots of the equation = ++-0, and then express * +4 as product of quadratic factors…

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Q: Determine the roots of the equation by factoring 3x2 – x – 4 = 0. Verify the roots and be sure to…

A: Factoring the quadratic equation can be defined as the process of breaking the equation into the…

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

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Q: 19. Find the roots of the equation: 3x² = - 27

A: Question no 20 is not completly shown.(data missing) So i just solve question no. 19. If u need…

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: Solve for the roots x4-13x2+36

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Q: state nature of roots of 2x2-4x+3=0

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Q: The cube root of -8 is not a real number.

A: The cube root of -8: 3√(-8) = -2

Q: 2, i, Find out the roots of the following by completing the square. 5x^2-2х-4-0

A: To Find: the roots of the following by completing the square: 5x2-2x-4=0.

Q: State nature of roots of 2x2-4x+3=0

A: To find the nature of the quadratic equation (ax2+bx+c=0) , we have to find the Discriminant(D) of…

Q: Solve for the roots   4x2-5x-2

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Q: x2 + 14x + 65 0

A: To find- roots of the given equation.

Q: Solve x4 + 16 = 0. Express the roots in rectangular form.

A: Consider the provided equation, x4+16=0  Express the roots in rectangular form.

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: Find the four fourth roots of -16.

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

Q: Find all roots 5. 8T

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Q: 3xー12x-3×ナ2

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Q: Solve for the roots in simplest form by completing the square: -6x² -96x 90 = 0

A: Given, -6x2-96x-90 = 0   We have to find the roots in simplest form by completing the square method.…

Q: Find the three cube root of -8i

A: -8i3

Q: - Find the three roots of 12Z30°

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Q: Solve for the roots 3x2-5x+2

A: Solution :-

Q: The sun of the roots of 2x +10x-4=0 is

A: x3+a x2+bx+ c = 0 Then sum or roots of this equation is = -a Compare equation 2x3+10x-4 = 0  Then…

Q: Solve the equation x4 – 9x3 + 45x² - 87x + 50 = 0 given that 3+ 4i is one of the roots.

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Q: 4. Determine the roots of the equation x + 2x - 15. x + 2x = 15

A: Here, to determine the roots of the equation: x2+2x=15...(1)

Q: Write the complex conjugate of -4+4i in exponential form.

A: The complex number z=x+iy=reiθ where r=x2+y2,θ= tan-1yx

Q: Find the four fourth roots of -8 + 8√3 i.

A: Given  The complex number is -8 + 8√3 i .

Q: Discuss the algebraic and geometric similarities of the cube roots of any positive real number a.

A: Given:  that to distinguish between the algebraic and geometric…

Q: Determine the roots of the equation by factoring 3x2 - x - 4 = 0. Verify the roots and be sure to…

A: Given equation is: 3x2-x-4=0

Q: How many real roots does the quadratic equation 3x² + 2x - 9 = 0 have?

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Q: → How mang the equation roots of 2. X+4X +4=o has? Give reason.

A: Quadratic equation can have at most 2 roots.

Q: Solve one of the roots of 6x^2 - 5x = 6 - 5i. Express your answer in rectangular form in 4 decimal…

A: We have to use quadratic formula  Roots of  ax2+bx+c=0                x=-b±b2-4ac2a Also we have to…

Q: Find all the roots of the equation (3z-1)^4+(z-2)^4=0 in the simplified form a+ib

A: Given equation, (3z-1)4+(z-2)4=0 Expand this equation,…

Q: Find the nature of the roots of 3x + 5x+ 9 = 0.

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Q: Find the quadratic that has the following roots: x=4 and x=-2

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Q: Use the meaning of cube roots to show how to find an exact solution to the equation Vx + 2 = -2.

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Q: How do you find the cube roots of -11-2i

A: Since, the rectangular form of a complex number can be transformed to polar form as follow:

Q: Solve for the roots in simplest form by completing the square: x² – 4x + 3 = 0

A: Given equation is x2-4x+3=0.

Q: Solve for the roots in simplest form using the quadratic formula: 4x2 + 29 = –12x %3D

A: We can find the roots of a quadratic equation by using the Shree Dhara acharya formula as:-…

Q: Solve for the roots 16x4-1

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Q: Solve x4 + 16 = 0 . Express the roots in rectangular form .

A: The given expression is  x4+16=0  Adding and subtracting 8x2 , we get…

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.