Subtract. (6-2i)- (3- 3i) Write your answer as a complex numbe

Q: Write the complex number in standard form. -18 + V-50

A: (-1)1/2= i

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

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Q: Write 2i(-3 + 7i)  in the form a + bi

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Q: Find all complex-number solutions by completing the square 2r2-3r=-7

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Q: Solve the complex equation (2+j)(3-j2)=a+jb

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Q: Simplify the complex number i ,65 as much as possible.

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Q: Simplify. Write your answer in rectangular form. 3+ 5i 2) -2 + 4i

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Q: Solve x2 + 2x + 2 = 0 in the complex number system.

A: Explanation: Given that,  x2+2x+2=0   Concept Used: Quadratic formula- x=-b±b2-4ac2a

Q: Simplify (2 – 3i)²

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Q: 2- j3)= (a+ jb)

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Q: Divide: (1 + 4i)/(- 5 + 5i) Write your answer in a + bi form

A: solve the following

Q: Subtract. (-3+5i)– (-4+6i) Write your answer as a complex number in standard form.

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Q: Use the discriminant to determine the number of solutions to the quadratic equation 12q^2+10q+4=0…

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Q: Solve each equation in the complex number system. x2 + x + 1 = 0

A: x2+x+1=0 Comparing with ax2+bx+c=0, we get a=1,  b=1  &  c=1

Q: Divide. -5i -3-2i Write your answer as a complex number in standard form.

A: The given expression is -5i-3-2i

Q: In the complex plane, the vertical axis is the ________ axis.

A: In a complex plane we denote z=x+iy here x be the real number and y be the imaginary number

Q: Multiply. (-3+2i)(-4+5i) Write your answer as a complex number in standard form.

A: The complex number is -3+2i-4+5i

Q: Multiply. (-3+2i)(-4+5i) Write your answer as a complex number in standard form. i

A: Given (-3+2i)(-4+5i)=-3*-4+(-3)*5i+2i*(-4)+2i*5i=12-15i-8I+10i^2

Q: Calculate ( - 6 + 4i)°. Give your answer in a + bi form 3 |

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Q: Simplify. Write your answer in rectangular form. 5) (-4 + 4i)

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Q: Add. (-3+6i)+ (-6+ 3i) Write your answer as a complex number in standard form.

A: We have to add two complex numbers. Given numbers- -6+3ι and -3+6ι

Q: Express the given complex number in rectangular form (3cjs40) (4cjs80) Answer: a. –6 + 6/3j b 6 +…

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Q: Use the discriminant to determine whether the quadratic equation has two equal real number…

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Q: Find all complex number solutions 3/ t-5 - 4t/t+5 = 56/ t2- 25

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Q: Simplify and write as a + bi 4. a) V-50 b) (1 + 2i)(-6- i)

A: (a) Simplify and write the given expression as a+ib as follows.

Q: Solve the equation 3x 1 - 6 = 6. Separate each solution with a comma.

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Q: Find the value of z and w in the following simultaneous equations 3z + 6 = -iw 2z – 4 = w + 2i Also…

A: 3z + 6 = -iw 2z - 4 = w + 2i

Q: Use the discriminant to determine whether the quadratic equation has two equal real number…

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Q: Solve the equation z – 8 = 0, giving the results as complex numbers.

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Q: (2-6i)+ (6- 5i)

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Q: Use the discriminant to determine whether the quadratic equation has two equal real number…

A: Use the discriminant to determine whether the quadratic equation has two equal real number…

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: Subtract. (4-6i)-(6-4i) Write your answer as a complex number in standard form. i

A: Given:- (4-6i)-(6-4i) To find:- standard form of given complex number  standard form of complex…

Q: Divide. 4. -3-2i Write your answer as a complex number in standard form.

A: Given that 4-3-2i. Simplify as follows.

Q: Write cach quotient as a complex number. 3 21 27. 28. 21 1+

A: Given: 3-2i5i

Q: Subtract and simplify. (-7-7i)-(9+4 i) (-7-7i)-(9+4 i ) = (Type your answer in the form a+ bi.)

A: Complex number subtraction Subtract  (-7-7i) -(9+4i)

Q: Use the discriminat to determine whether the quadratic equation has two equal real number solutions,…

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Q: Simply Each Complex Fraction x/y2  /   x2/y

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Q: divide: 3-2i/-7-4i. Write your answer in a+bi form

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

A: Descartes rule of sign: Let fx=anxn+an-1xn-1+...+a1x+a0 be a polynomial function with real…

Q: simplify each complex fraction. (4/ab - 3/b2)/(1/a + 3/b)

A: We have to simplify the complex fraction: 4ab-3b21a+3b Rewriting the complex fraction,…

Q: the value of x+y in the complex equation of 3 + xi = y + 2i is

A: Given: 3 + xi = y + 2i       To determine: the value of x+y

Q: Evaluate -b+ Vb2- 4ac for the given values of a, b, and c. Write the result as a complex number.…

A: to express the result of substitution as a complex number in the standard form

Q: Find all complex solutions x4-3x2=28

A: Given equation

Q: Write out the conjugate for the complex mumbers i. 25+15i ii. -14 iii. -4-5

A: According to the given information, it is required to write the conjugate of the complex number.

Q: Simplify and write in the form a +bi 3+i -5-21

A: Given a rational complex number: 3+i-5-2i

Q: Find the complex solutions x5÷2+8x3÷2+25x1÷2=0

A: