Find all complex-number solution by completing the square x2+6x+17=0

Q: Find all complex fourth roots of -2-2/3 i. In other words, find all complex solutions of x = =…

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Q: Solve the equation in the complex number system. Check your results using a graphing utility. 5x2 +…

A: To Determine: Solve the equation in the complex number system. Check your results using a graphing…

Q: Find all complex solutions. x4 +5 =0

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Q: Determine the absolute value of the complex number z = -1 - 2i.

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Q: The division of two complex numbers is done by: a. Multiplying the two numbers by the denominator b.…

A: Option (C) Multiplying the two numbers by the conjugate of the denominator is correct . We see one…

Q: Find all complex square roots of 3+3/3 i. In other words, find all complex solutions of x= 3+33 i. i…

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Q: Find all complex number solutions to the equation. x3 - 512 = 0

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Q: Use Descartes’ rule of signs to determine the number of possible positive, negative, and nonreal…

A: Given: to determine the number of possible positive, negative, and nonreal complex solutions of the…

Q: Find all complex solutions of 2x +3x+6= 0. (If there is more than one solution, separate them with…

A: use quadratic formula for finding complex solution.

Q: Extract the square root of the complex number 8-6i.

A: We have to find the square root of the complex number 8-6i.

Q: Completely factor P(x)=x" +2x'+ 8x + 32x- 128 into linear factors, given that - 4i is a zero. P(x) =…

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Q: Determine whether the given statement "In the complex number system, x2 + y2 (the sum of two…

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Q: Multiply the complex numbers and simplify the result. (Express your answer in th form (a + bi).) (2…

A: Given(2+6i)(5-4i)

Q: Solve the equation in the complex number system. Check your results using a graphing utility. x2 + x…

A: Given equation  x2 + x + 1 = 0

Q: Solve 3x3 + 2x - 1 = 8x2 - 4 in the complex numbersystem.

A: The given equation is 3x3+2x-1=8x2-4. Solve this equation as follows.…

Q: Solve the equation in the complex number system. Check your results using a graphing utility. x2 -…

A: x2-6x+10=0 Here use quadratic formula and find the value of x . ax2+bx+c=0x=-b±b2-4ac2a…

Q: Find all complex numbers that are solutions of the given equation. Leave your answers in standard…

A: Given complex equation is: z4+8+83i=0⇒z4=-8-83i⇒z=-8-83i14 Let us consider, r cos θ=-8  ;  r sin…

Q: Completely factor P(x)=x* +x + 4x+16x-192 into linear factors, given that -4i is a zero. P(x)= (Type…

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Q: Find all complex square roots of -4i. In other words, find all complex solutions of x =-4i. i

A: Find the all complex solutions

Q: Solve the equation in the complex number system. Check your results using a graphing utility. x2 + 4…

A: Given equation  -x2+4 = 0x2 =-4x = ±-4x = ±-14x = ±-14x = ±i2…

Q: 6) Solve and write your answers in standard form of complex numbers. x(x – 4) = -5

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Q: Solve the equation in the complex number system. Check your results using a graphing utility. 13x2 +…

A: 13x2 + 1 = 6x

Q: Find the complex cube roots of -1. Write roots in rectangular form.

A: we have to find the complex cube roots of -1. we have to write the roots in rectangular form. as we…

Q: Write the complex number in standard form. 1 − Square routs12   −12

A: Here we have to write the complex number in standard form ,        1 - √(-12)

Q: Completely factor over the complex numbers (2x-5) (x+1) = 2

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Q: Without solving, determine the character of the solutions of the equation in the complex number…

A: Consider the provided equation, 2x2+3x=4 Without solving, determine the character of the solutions…

Q: Find all complex solutions to x3 +1=0

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Q: Find all complex solutions of 6x-5x+4 = 0. (If there is more than one solution, separate them with…

A: Given that

Q: z2-4z+6=0

A: The quadratic equation is given as, z2-4z+6=0 Compare this equation with the standard form of…

Q: Find all complex solutions of using the quadratic formula 2x^2-3x+5=0

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Q: Find all complex solutions of 3x-x+4 0. (If there is more than one solution, separate them with…

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Q: Without solving, determine the character of the solutions of the equation in the complex number…

A: The general equation of quadratic equation is given as ax2+bx+c=0 .It is discriminant is given as…

Q: Find all solutions of the equation x²-4x+5=0 and give your answer as a list of complex numbers, such…

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Q: Solve the equation using the quadratic formula. x + 8x-6=0 X= (Type an exact answer, using radicals…

A: Solution of the quadratic equation ax2+bx+c=0 is  given by quadratic  formula x=-b±b2-4ac2a

Q: Find all complex square roots of -2+2/3i. In other words, find all complex solutions of x=- 00..

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Q: Solve the equation in the complex number system. Check your results using a graphing utility. x4 =…

A: The equation: x4=16

Q: Find all complex solutions of 2x + 3x+ 6 = 0. (If there is more than one solution, separate them…

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Q: To do: 6. If Z1 = 2 + 51, and Z2 = 3 - 21, then what is Z1 x Zz as a single complex number? What do…

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Q: Find the square roots of the complex number z = 64 cis 4. Select all correct answers.

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Q: Multiply the complex numbers and simplify the result. (Express your answer in the form (a + bi).) (2…

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Q: Determine the number of solutions of the equation in the complex number system. 10 − x + 3x2 − 9x7…

A: Polynomial of degree 'n' have exactly  'n' number of solutions in complex number system.

Q: Solve 2x2 - x + 4 = 0 over the set of complex numbers.

A: Given that, 2x2-x+4=0

Q: Solve 3x2 - x + 4 = 0 over the set of complex numbers.

A: Given : 3x2 - x + 4 = 0   Use the quadratic formula to find the solutuons.   x = (-b ± √b2 - 4ac)/2a…

Q: Find all complex fourth roots of -2-2/3 i. In other words, find all complex solutions of x" =-2-2/3…

A: Given  -2 - 2√3i and we have to find all four roots of complex

Q: Solve the given equation over the complex numbers by completing the square. Use exact values. 2m² -…

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Q: Simplify the complex number. Express your answer in a+ bi form and include each step necessary in…

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Q: Find complex root of the equation =²+1=0

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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.