2. Use the quadratic formula to find the roots of the equation: 5x - 4x +8 = 0. -4+ 12i 5. O x = 3 and x = 5 O x = -1 and a = -5 2士6i 5 P Type here to search DELL Esc F1 F2 F3 F4 F6 F7 FE

Q: B. Find all roots of (2i)2

A: for finding roots note 2 point a² + b² + 2ab = (a+b)² i² = -1

Q: Given that a, B and y are the roots of the equation 423 – 522 + 3z + 11 = 0. a3 Without finding a, B…

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Q: Which quadratic equation has roots 2 + 6i and 2 – 6i? x2 – 4x + 13 = 0 O x2 + 4x + 13 = 0 Submit…

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Q: Solve for roots x, and x2 of the following quadratic equations and detemine its nature of the roots.…

A: We can answer all the three parts of the given questions as below

Q: Solve by completing the square: (y-3)-(y-4)(y+3) O A. 1-10,1+Vi0 O B. 1-i10,1+i10 O C. 1-2i2,1+ 2i2…

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Q: Explain why the following five statements ask for the same infor-mation. a. Find the roots of ƒ(x) =…

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Q: Determine the nature of the roots of the following equations: (a) 3x + 5x + 4 = 0 (c) x-8x + 16 = 0…

A: Since you have asked multiple subparts, we will solve the first three question for you. . If you…

Q: I Without solving, find the sum and product of the roots of each of the followine equations. 1. 4x…

A: As per the company guidelines we are supposed to answer the first question of first 5…

Q: If the roots of   (1+m)x2-2(1+3m)x+(1+3m)=0 are equal then find the value of m

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Q: Solve the given quadratic equation using the method of COMPLETING THE SQUARE. Make sure to have an…

A: Given , r2-8r=10 We need to solve the quadratic equation using completing square method r2-8r-10=0…

Q: x2 + v2 - 2x - 8y- 47 = 0 %3D

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Q: Determine the nature of the roots of the following equations: (a) 3x + 5x + 4 = 0 (c) x-8x + 16 = 0…

A: For a quadratic equation in the standard form  ax2+bx+c=0. first calculate the determinant D =…

Q: Let ne Z and AABC be a right triangle with right angle at C. If sin A and sin B are the roots of the…

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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: b. f (x) 3D е -*(x? — 5х + 2)

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Q: I. Solve using De Moivre's Theorem. Find all fourth roots of xt = -256

A: According to the given information, it is required to find all the solutions to the equation using…

Q: show that 1+i is a root of the cubic equation 3z^3-5z^2+27z-45=0, find the other two roots

A: 3z3-5z2+27z-45 = 0Using rational root test :±11, ±13, ±31, ±51, ±91, ±93, ±151, ±153, ±451,…

Q: What is the positive root of the equation: (2x+1) %3D 3 4. (Write your answer correct to 2 decimal…

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Q: If (2+3) is one of the roots of the equation x² + (α-ix+bi=o find the valus of a b

A: given  one of the root of the equation x2+(a-i)x+bi=0 is 2+3i we have to find the value of a, b…

Q: This question must be solved by "the quadratic formula". Be sure to show your work accordingly. 2-…

A: The quadratic formula for the quadratic equation ax2+bx+c=0 for finding roots is given by,…

Q: 10.) Solve for both roots in the following equations using the quadratic formula where az^2+ bz +c =…

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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: 1. Solve the following equations and list all the roots. a) (x² – 25)(x² + 5x – 14) = 0 b) (2x +…

A: Simplify the equation then find roots.

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: 3. Which of the following quadratic equations will have two real and distinct roots? B. 9x- 6x +1-0…

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Q: What are the roots of the quadratic function y =-x +3x-4 ? %3D x+1 and x--4 x--1 and x-4 -3+51 C E I…

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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: Use the Newton-Raphson method of finding roots of equations to solve the following: where a = 2.5. 1…

A: The Newton-Raphson method (also known as Newton's method) is a way to quickly find a good…

Q: 4. Find the discriminant of each quadratic equation then state the number and type of solutions. *…

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Q: If the roots of equation x² - 2cx + ab = 0 a the that th of 2 20 41

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Q: QUIZ # for Solve each of these QUADRATIc equations Where necesscry, use a caleulator To find The…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the solutions of the equation, and find the sum and the product 4x2-12x +15=0 | V6 3 The roots…

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Q: Find the roots of the given Quadratic Equations. 1. x^2 = 10 2. x^2 = 25

A: Given:  1)x2=102)x2=25 To find: The roots of the given Quadratic Equations.

Q: Identify the roots for the equation 5 x 2 + 2 x -4. -1+iv19 10 iv19 -1- i/19 -1+ i/19 i/19 -1-i/19…

A: The objective is to identify the roots of the given quadratic equation.

Q: Solve for x. 9x+25 = 30x %3D If there is more than one solution, separate them with commas. If there…

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Q: Solve the following quadratic equations by extracting square roots. 1. x = 25 2. 2= 144 3. r-100 = 0…

A: we have to find roots after square root both side

Q: 1. Determine the characteristic of the roots of the quadratic equations. a) х? — х —30 %3D0 b) 7x –…

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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: Without solving for the roots, determine the sum and product of the roots of the folle еquations.…

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Q: 15. The real root of the equation x³ – 5x +3 = 0 by Secant method, correct to three decimal places…

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Q: Find the roots of the equation z³ +2 – 2/3i = 0. %3| -

A: Given: z3+2-23i=0 So,  z3=-2+23iz3=2-1+3iz3=4-12+32i We know that z=rcosθ+isinθ=x+iy, where r=x2+y2,…

Q: Solve for roots X1 and x2 of the following quadratic equations and detemmine its nature of the…

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Q: List the solutions of the equation: 0 = 4.x 12x + 18 Your answers must be in exact form, do not give…

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Q: If a and B are the roots of the equation x² - 3x + 4 = 0, the equation whose roots are a? + a + 1…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 52. The sum of the roots of the equation at + bt + c = 0 is equal to the sum of the squares of their…

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Q: the sum of the roots of the equation 1/(x + a) + 1/(x == 1/c is zero, then prove that the product of…

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Q: Complete the table below. Show your solutions. Equation 1. x2 + 5x +4 = 0 2. 2x2 + x-21 = 0 3.4x2 +…

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Q: Let n = Z and AABC be a right triangle with right angle at C. If sin A and sin B are the roots of…

A: What is Quadratic Equation: When a quadratic polynomial assumes the value zero, that equation is…

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.