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Q: i) Solve the equation (z – 2)³ =-, leaving your answers in the form a+bi

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Q: Determine the all the roots of z4 +1 = 0

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Q: Given that x = 1-4i is one root of the quartic equation 2-82' + 54z - 152z +425 = 0, find the other…

A: We will use long division to factor the four degree polynomial into the product of two quadratic…

Q: Find all the zeroes of the equation. 27x – 324 = -x* O-3, -61 03, 6i 03, -3, 6i, –6i 03, -3, 6i, 0

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

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Q: What are the solutions to the equation on [0, 27)? 2/3 csc (3x) 3 Drag all solutions to the box to…

A: We have to find solutions

Q: Find all 4 roots of the equation z4+1=0.

A: Concept:

Q: What are the roots of the equation -90 = x(x - 18) ? %3D A. 9 and -9 B. 9 + 3i and 9 - 3i C. 9 + V3…

A: We can make it easier for you.

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: 1. Find the quadratic equation whose roots are a + and B + where a and B are roots of the quadratic…

A: Consider the given quadratic equation having roots α and β is  2x2+7x-3=0 Here, the objective is to…

Q: What are the complex solutions to the following equation: 0.5x2-0.2x +0.2 0

A: Given equation is 0.5x2-0.2x+0.2=0find out the complex solution of the given equation

Q: Describe the roots of the equation 7x2 – 6x + 12 = 0 | O real and unequal imaginary O real and equal…

A: I am going to solve the given problem by using some simple algebra to get the required result of the…

Q: (b) The roots of the quadratic equation 3x-11x+9=0 are a and B. Form a quadratic equation whose…

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Q: write a quadratic equation in the form x^2+bx+c=0 that has the following roots: roots: 8 +,- √ 15

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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: TVERS Repeated Roots of Auxiliary Equation Find the general solukon of the following: 3. (4D? - 6D…

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Q: Solve by using the quadratic formula: x +10x+9 =0 O A. 5+4i and 5-4i O B. -5+4i and -5-4i O C. 4+5i…

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Q: Given that a+1 and ß+1 are roots of the quadratic equation 2x* – bx-2 = 0 , and that the two roots…

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Q: Assume that P and Q are two positive distinct real roots of the quadratic equation (²₂. - -…

A: given quadratic equation t2-P+Qt+PQ=0 here assume that P and Q are two positive distinct roots of…

Q: What is one root of this equation? 2x2 – 4x + 9 = 0 %3D -2 + 14, O B. -1 + , O A. O c. 1+ 14, OD.…

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Q: The product of the roots of equation 3x +9x-12=0 is إختر أحد الخيارات: -4 .a O .b O None of these cO…

A: Equation : 3x2 + 9x - 12 =0

Q: 2. What are the 2 solutions to x² - ix +6 = 0? O- 2i, 3i 5 1 | /23. 1 23 2 O-3i, 2i

A: Consider the equation

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: The roots of the equation x - 6x – 2 = 0 are A 3± VII © 3±v7 6 -3±VI] O -3± v7

A: We have to find the roots of the equation x2-6x-2=0.

Q: If the roots of the auxiliary equation are m = -1,-2,-2,-2, ±3i, -2 ±i, -2 ±i what is the…

A: If the roots of the auxiliary equation are              m = -1,-2,-2,-2, ±3i, -2 ±i, -2 ±i then we…

Q: 13. Find the roots of the equation x+9x+ 18-0. A. 3 or 6 B. 3 or-6 C.-3 or 6 D.-3 or -6

A: As per guidelines, We’ll answer the first question since the exact one wasn’t specified. Please…

Q: Find all real and complex solutions to the equation   x^3 − 3x^2 − 10x + 24 =0

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Q: Write a polynamial equation with integer coefficients that has the given roots. I- 3 8

A: Given: x=3,x=8 are roots.

Q: 1. Find all the roots of the equation? z4 - 5z2 – 36 = 0

A: The solution is given below.

Q: Give two quadratic equation x2-x+a=0 and x2-x+3a=0.Find the value of a afor which one of the roots…

A: Given: Two Quadratic equation x2-x+a=0.........(1) x2-x+3a=0.............(2)

Q: -3.8x^2+0.8x+1.7 Find the roots answer the question

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Q: Solve for x, where x is a real number. 8x+25 - /2x+4 =3 (If there is more than one solution,…

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Q: i) Solve the equation (z – 2)3 =- N, leaving your answers in the form a+bi %3D 2

A: To find z for (z-2)³=(1/2)-√3i/2

Q: 1. What are the roots of the equation (x + 1)(4x – 3) = 0? C) x= 1, - D) x= 1 A) x = -1,3 B) x= -1,

A: (x+1)(4x-3)=0⇒(x+1)=0 or (4x-3)=0⇒x=-1 or 4x=3⇒x=-1 or x=34⇒x=-1 ,34

Q: Find all solutions of the equation and express them in the form a + bi.

A: Given: 70. t+3+3t=0

Q: Find all roots of the equation z2 -(3+i)z+(2+i)=0

A: Given equation is z2-3+iz+2+i=0 To find all roots of the equation. Solution: Solving the given…

Q: Simplify as a+bi : (2i-13. * Solve: @ Z-2구=0 O= 18-Z @ 7-3- Z

A: 9. 2i-1242-i+2-i1+isimplify it in the form of a+bi 10. a)z3-27=0 b)z4-81=0 simplify it

Q: Solve: 3x? – 8x + 15 = 0 Enter your answer in the form a + bi.

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Q: 4. Which of the qundratic equation has no real roots? 1. x*+ 3x - 10 -0 5 Whnt is the nature of…

A: The equation ax2 +bx+c= 0 has real roots if b2 -4ac=0

Q: What are the complex solutions to the following equation: 0.5x2 0.2x + 0.2 =0

A: multiply both sides by 10 compare this equation with  so we have

Q: Find all solutions of"equaion: the X+I 2^+7* = 2•3^+5X.

A: We are given the following equation : 2x+1 + 7x = 2×3x + 5x And we have to find all the solutions…

Q: 6. Which of the following are the solutions of the equation 1- -? x²+2x %3D

A: Here we have to find the possible solutions for the given equation. For that we want to solve the…

Q: 2. Write an equation in standard form ax? + bx + c that has roots of x = 4,. %3D

A: The roots of given equation is x=4,12 To find the equation in standard form

Q: Is a quadratic equation an identity? Which is the strongest answer? A. Is an identity because the…

A: Correct answer is Option (D).

Q: 17. {7 + 3i}

A: Given, f(x)=ax2+bx+c roots of equation are, we know from the propert of roots,

Q: Q.No.3 Find the roots of the equation and also verify your answers. 2x-3x²+1-0

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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: Solve the following equation by making an appropriate substitution. 2 1 4x - 11x -3 = 0 ..... Make…

A: Topic - quadratic Equation