1.) x² - 8 - 0    3.) 2-10 - 0 2.) 4x² - 5 = 0 4.) 2x² = 100 Questions: a. How did vou find the roots of each equation b. Which equation did vou find difficult to solve by extracting square Roots? Why?   *Answer only A. and B.

Q: The center-radius form of 4x^2+24x+36+4y^2-8y=100  can be obtained by adding both sides of the…

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Q: Find real numbers a and b such that the equation is true. a + bi = 9 + 8i

A: A complex number is a number of the form a+bi where a,b are both real numbers. In this form the…

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

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Q: What are the roots of the equation x2 + 2x + 37 = 0 in simplest a + bi form?

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Q: I. Solve using De Moivre's Theorem. Find the 2 square roots of 3 – 8i

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Q: 3+j4) (2-j4) In ( (final answer should be in rectangular form)

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Q: Given that z=1+2i and z=1-2i are roots to the polynimial equation 2z3 - 5z2 +cz -5=0, where c…

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Q: AS/TRLDI 50. In the equation 3x2 + ax – 2 = 0, the sum of the roots equals twice the product of the…

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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: 22 = = Ti 2

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Q: A quarterback releases a football with a speed of 44 feet per second at an angle of 30° with the…

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Q: Find real numbers a and b such that the equation is true.a + bi = 10 − 5i

A: A number of the form a+ib is known as the complex number. Here i  is known as the imaginary unit. A…

Q: Solve the equation In (x + 2) + In (x – 1) = In (9x – 17) and check your answers (True / False) %3D

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Q: Given the quadratic equation 3x+6=−6x2 A) Determine the value of the discriminant…

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Q: 3, 14 Solve for the solution/root of each first-degree equation. 1. --x +7 = 2 2. 5a = 95

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Solve for the exact value of x. 6 In(7x + 6) – 14 = 10 - %3D Answer: Submit Answer

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Q: It is given that a and B are the roots of the quadratic equation 2x+4x- 3 = 0. Form a quadratic…

A: If α and β are the roots of the quadratic equation ax2+bx+c=0, then α+β=-baαβ=ca Consider the…

Q: 1. Detemine, whether and -v5 are roots of the equation 10a – 5 = 2a3 - a?.

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Q: Determine the roots of the equation by factoring 3x2 – x – 4 = 0. Verify the roots and be sure to…

A: Factoring the quadratic equation can be defined as the process of breaking the equation into the…

Q: Consider the equation 6x+3=x−1. Squaring the left side and simplifying results in​ _______.…

A: 1) Squaring left side    6x+32=x-1using a+b2=a2+2ab+b2    6x2+26x3+32=x-1    36x2+36x+9=x-1…

Q: 1. Detemine, whether and-5 are roots of the equation 10a –5 = 2a3 - a?.

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

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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: 2. In the equation x2 + 40x + n = 0, find n if one root is 3 times larger than the other root.…

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Q: the method of completing the square to solve the quad 3x – 7 = 0, which number would have to be…

A: In this question we will use basic of algebra i.e solution of quadratic equation by completing…

Q: JUU A 10 3,735 - 3,60O = 135 tan 135° %3D 14) A student attempting to solve this Quadratic Equation:…

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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 are the roots of the equation x2 + 14x + 50 = 0 in simplest a + bi form?

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Q: The fifth roots of 1 are

A: We have to find the fifth root of 1. Let z=15 ⇒z5=1 We know that e2kπi=1 for every k∈Z. Hence,…

Q: 2x^2 + 5x = 25 + 25i, determine the imaginary part. Express your answer in 4 decimal places.

A: The given equation is 2x2+5x=25+25i. We need to determine the imaginary part of x. We know the…

Q: What are the roots of the equation x² + 14x + 50 = 0 in simplest a + bi form? %3D

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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 three (3) distinct roots of the cuberoot of 8 and express the root in rectangular form.

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Q: Solve one of the roots of 6x^2 - 5x = 6 - 5i. Express your answer in rectangular form in 4 decimal…

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Q: using the method of completing the square , show that the equation 4x2+3x+5=0 has no real roots

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Q: What are the roots of the equation 25x +90x + 82= 0 in simplest a + bi form?

A: If equation is ax2 + b x + c = 0 then solution is  x = -b±b2-4ac2a

Q: What are the roots of the equation 5x+ 15 = 17x in simplest a + bi form?

A: Given equation is 5x2-17x+15.

Q: I. Solve using De Moivre's Theorem. Find the 9th roots of 12 – 13i

A: Consider the provided question, According to the given information, it is required to find 9th roots…

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: d. Find the 3 third roots of 1 and show their geometrical representation.

A: Let the cube root of 1 is "a"13=aCubing on both sides we geta3=1 or a3-1=0we know that…

Q: What are the roots of the equation x2 – 10x + 26 = 0 in simplest a + bi form?

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

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

A: Given: 70. t+3+3t=0

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: According to Descartes's rule of sign, how many possible positive and negative roots are there for…

A: Answer is  3 positive roots  And 1 negative root. Explanation is given below..

Q: What is the first step in finding the three cube roots of -1?

A: We have to find the first step in finding the cube roots of -1.