Evaluate x-6x+2 for x = 4 + i. . - 6x +2 evaluated for x = 4 + i equals . (Type your answer in the form a + bi.)

Q: -2V-2 + 10

A: Given we know that conjugate of (a-ib)=(a+ib)

Q: Express in terms of i. V- 121 V- 121 %3D (Simplify your answer. Type your answer in the form a +…

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Q: Divide. (Simplify and express your answer in the form a + bi.) 3+i/5-2i

A: rationlization of denominator and solve tge question see 2nd step.

Q: Evaluate x - 2r + 2 for x = 1 + i.

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Q: 41 ivide: Write your answer in a + bi form 5 - 3i

A: 7-4i-5-3i×-5+3i-5+3i-35+21i+20i-12i225-9i2-35+41i+1225+9-23+41i34

Q: Simplify the expression to a + bi form

A: Simplify the expression to a + bi form This is rectangular form.  Given expression  (-6+8i) -(6+5i)…

Q: Evaluate the sum or difference, and write the result in the form a + bi. (-4 + i) - (2 - 5i)

A: To evaluate the difference

Q: later ) Algebraically determine the roots, in simplest a + bi form, to the equation below. x2 - 2x +…

A: We have to solve roots

Q: Express in terms of i. V-81 -V-81 = %3D (Simplify your answer. Type your answer in the form a + bi.)

A: a+ib where, a,b are real numbers and  ‘i’ is an imaginary number called iota.√-1 = i

Q: Express 3-i/2+3i  in the form a + bi

A: Rationalise i^2=-1

Q: Rewrite the equation in Ax + By = C form. %3D Use integers for A, B, and C. 1 y=- 2

A: We can rewrite the given equation as below

Q: (-7– 9i) + (10 + 10¿)

A: To simplify the given two complex number, add real part of first one with real part of second  and…

Q: Evaluate and write your answer in a + bi form.

A:

Q: (11 – 7i)²

A: (11-7i)2

Q: Evaluate x2 - 2x + 2 for x = 1 + i.

A:

Q: Express in terms of i. V- 36 V - 36 = O (Simplify your answer. Type your answer in the form a + bi.)

A: Given that: -36

Q: Express in terms of i. V- 80 -80 (Simplify your answer. Type your answer in the form a + bi.)

A: √(-80)=4√(5)i

Q: Solve the equation for x. let X = 2x or X = 3x.  22x+2 - 17 . 2x + 4 = 0

A: Consider the provided equation, 22x+2-17.2x+4=0 Solve the equation for x. Let X=2x. Put the value of…

Q: Solve for x in terms of b . Report your answer using set notation. 1 1 글10g,(x3) + ㅡ10g( x2-2x + 1)…

A: We will be using the formula below of logarithm to solve given equation, alog b log balog a + log b…

Q: (3-i)² 2.

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Q: The conjugate of -4 -3i is............

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Q: Perform the indi cated operations and simplify the expression. 2r-r-3 6r - 7r- 3 4r 12 -1 - 12r +9…

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Q: Evaluate the quotient, and write the result in the form a + bi.

A: The given complex expression is, z=1i To express the given expression in the standard form of the…

Q: Solve for X, and check the extraneous roots. X/(X + 4) =11/(X2 -16) + 2/1

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Q: if z1 = i and z2= -(3)^0.5– i find the arguments for the quotient

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Q: 2 + V-9

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Q: Find the real solutions of x2 - x - 1 = 0.

A: x2−x−1=0x=−b±b2−4ac2aHere,x=−−1±−12−4⋅ 1⋅−12⋅ 1

Q: ind the value of 2 (x+5) = 3(2-5x %3D

A: Given: 2(x+5)=3(2-5x)

Q: Perform the indicated operations and express your answer in the form a + bi. √- 4

A: a+ib is known as complex number. Complex number is mixture of real andimaginary number as in a+ib a…

Q: 15x + 2x can be written as? x(15 + 2x) (15 + 2)x (15x + 2x)x

A: The algebraic expression (number, variable, etc.) that is a common factor in one or multiple…

Q: Evaluate: (x2 + 19) /(2 - x),  for x = 3i.

A: Given: fx=x2+192-x; x=3i for finding value of given function at x=3i, we put x=3i in given…

Q: Simplify the expression to a + bi form: (8+ 8i)(12 – 10i)

A: The objective is to simplify 8+8i12-10i

Q: Express in the form a + ib where a and b are real numbers. V1 - 2i

A: We will find out the required value.

Q: Evaluate (V12 - V-3) (3+ v-4) and express in the form a + bi, for SOme rea numbers a and b.

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Q: Show that (x? + y²)² = (x² – y²)² + (2xy)? for all real numbers x and y.

A: We have to prove algebraically that x2+y22=x2-y22+2xy2 Simplifying both the sides , we get Here ,…

Q: Simplify the expression so that it is in the form (a+bi)  2/3-square root -1 divided by square root…

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Q: Find real numbers a andb such that the equation is true. a+ bi = 11 + 7/ %3D

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Q: Express (V3 + i)® in the form a + bi. 26

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Q: Evaluate: x2 - 2x + 2 for x = 1 + i.

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Q: State all real-number values of x which will make this statement true:    x2 + 4 = 0

A: Given,          x2+4=0

Q: Say whether the statement is true or false 9x+1>13-3x x=0 x=1

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Q: Evaluate the radical expression, and express the result in the form a + bi.

A: The value of the imaginary number i is equal to -1 and i2=-1. Substitute i for -1 in the radical…

Q: Simplify by expressing in the form a + bi i) 5+24 ii) (2+ V-3)(3+ -3) 3 iv) Jo -V-12

A: "Since you have asked multiple questions, we will solve the first question (number 5) for you. If…

Q: For what values of x is x³ + 23x² + 154x + 312 = 0 a true statement? List the values separated by…

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Q: Evaluate the sum or difference, and write the result in the form a + bi. (-3 + 4i) - (2 - 5i)

A: Given:              -3+4i-2-5i Simplify: -3+4i-2-5i             -3+4i-2+5i

Q: Q: Evalunte 5 x²-2 up (x-2)² 3

A: Given

Q: Given that −π≤x<π, find all the solutions to the equation 2tan^2x−2=0. Separate your answers with…

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Q: Perform all operations. Give your answer in a + bi form. 7 - V-9 5 - V-1 |

A: We have to perform the indicated operation to convert in a+bi form for the given expression:…

Q: 12. Express v- 50 +6.2+ v49 – 3V-32 in simplest a + bi form.

A: