Answers must be in 4 decimal places. 1. Find all the roots of the following equations. i. ?³ + 10?² + 169? = 0

Q: Let p and q be the two roots of the equation mx? +x(2-m)+3=0. 2 Let m,, m, be the values of m…

A: Given mx2+x2-m+3=0        ...(i)

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: m = -3, -2+i,

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Q: Which value would be eliminated if it appeared as a possible solution to the equation below? 3 I-5…

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Q: How many solutions are there to the equation x_1 + x_2 + x_3 = 25, where x_1 >= 1, x_2 >= 2,…

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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: 1. Solve the following equations using nth roots. 4 a. 7(x – 5)2 + 10 = 353 b. 74 = a3 – 7 2.…

A: a. 7(x-5)2+10=3537x-35 2+10=35314x-70+10=35314x-60=35314x=353+6014x=413x=41314=592x=592=2912

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: B. Give the general solution to the HLDE with the given set of auxiliary roots 3. m = -3, -2±i, l±2i

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Q: Solve for 0 if-4sin 0 + 6 = 2 and 0 <0 < 2n. List your answers as exact answers in terms of t,…

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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: Use the False Position method of finding roots of equations to solve the following: ƒ(n) = 40n¹ –…

A: given equations fn=40n1.5-875n+35000=0 use false position method of finding roots of equations to…

Q: Solve ++1=0 by obtaining the roots. Answer: a를(1±jv3), 를(-1± jv3) b. 글 (1± 5v3), 글(-1± jv3) c를…

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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 the following equation by first clearing it of fractions. 3/(2x)−1/(2(x+8))=1 The solution set…

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Q: Solve the following quadratic equation for all values of x in simplest form. 2(x + 10)2 – 37 = 13…

A: We need to solve this Quadratic equation

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: 1. у" - 3 у" + Зу' - у %3D 0 y(0) = 1 У(0) - 2 Y"(0) = 3

A: First we write the symbolic form of given equation then we write the auxiliary equation and find the…

Q: 2. Which of the following equations solves for the length a in AABC? A. a² = 15² + 13² - 2(15)(13)…

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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: 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: The sum of the roots of 2x+10x² -4x+5=0 is 5 0 .a O None of these b o -5°C 0 d o

A: Given,          The equation is 2x4+10x2-4x+5=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: Give the general solution to the HLDE with the given set of auxiliary roots. m = 0, 3, -1, l±/2 m…

A: Solution is given as below:

Q: How many positive real roots are there in the equation 7x²+5x+3x²+x=0? a. 2 b. 0 C 3 a. 144 b.…

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

Q: Find all the roots of z = -4 + (4V3)i giving each root in the form re". %3D 8° = -4+ (43) C

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Q: Which of the following represents the solution set to the equation: r+6x +13 =0? 1) x= 3±4i (3) x…

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Q: Solve the following equation. (x+4)2+11(x+4)+30=0 List your answers separated by a comma. For…

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Q: obtain the four roots of characteristic equation as follows: p+ Vp? – 8pi? 272 p- Vp? - 8pi? 212 12…

A: As per the instruction, we will have to find the roots that are marked in blue. So, we will be…

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: x^6+10*x^5+35*x^4+315*x^3+12*x^2-140*x+2.5 then insert a table to draw the graph of the previous…

A: Given equation ; x6+10x5+35x4+315x3+12x2-140x+2.5=0

Q: 19. Choose the correct answer. Which expression provides the roots of the equation 2a² + a = 5? no…

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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: 17. The sum and product of the roots are 4 and 3 respectively. Which of the following represents the…

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Q: a. Given the equation- х-1 1 2 +. Determine the solution algebraically and identify any х -1…

A: The given equation is                                xx-1=1x-1+2x…

Q: Find the exacted solution and the error (6)y = 201+ y?), with y(0) = 0, h = 0.5.

A: Given a differential equation. We need to find the exacted solution. Let's start.

Q: Given that 3+2i is a root of the equation x^4-8x^3+30x^2-56x+65=0.Which of the following quadratic…

A: Given: 3+2i  is a root of the equation:  x4-8x3+30x2-56x+65=0

Q: Determine all the roots of R(y)=12y²+11y-5.

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Q: What are the roots of x*-25? x= + 5, x = ± 5i %3D B x= + /5 only C. x = ± /5, x= ±i/5 %3D D…

A: using identities

Q: 1, Without solving, find the sum and product of the roots of each of the following equations. 1.…

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Q: Solve for the unknown number. a. 4x + 9 = 30 b. Зх — 4 3 8 c. 6x – 1 = 3+ 4x d. 2x- 3 %3D2(3х — 1)…

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Q: 6. Choose the correct answer. Which of the following equations has no real roots? O x² + 4x x² + 4x…

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Q: If a, b are the roots of x2 + px + 1 = 0 and c, d are the roots а, of x? + qx + 1 = 0, then the…

A: Introduction :

Q: Find the roots, if any, of each of the following quadratic equations by the quadratic formula. 1.…

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

Q: Find all the roots of the following equations. i. ?³ + 10?² + 169? = 0 ii. 9?²? + 64? = 0 iii. ?⁵ −…

A: The solution of a quadratic equation ax2+bx+c=0,  is given by quadratic formula that is…

Q: 42. If a, B are the roots of the equation x'- px +36 0 and a? + B? = 9, then the value of p is (a)…

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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.