2. Once at University of Ottawa, this student is supposed to solve: u? + 4Yu +1 = 0, where Y is a randomly chosen number between -1 and 3. What is the probability that this equation has complex roots?

Q: What are the 4 roots of z in the equation: 2* = 1

A:

Q: Solve cosx + secxr = - 2 on [0,27). 3n 4 O 3n 2

A: Explained below

Q: Find all solutions of sec(4-7x)=2

A: cos is reciprocal if sec Use this to find cos(4-7x)

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. Write the equation to a quintic with double roots -6 and 8, that goes through the origin as well…

A: According to question we have to find the quintic equation with Double roots -6 and 8 and that goes…

Q: Number 1a

A: Given cubic equation is,

Q: Find all solutions of the equation: 2cos x + √3 = 0

A: First, we solve for cosx

Q: Find the root(s) of the quadratic equation O(4. -5) O (2. 6) O (-2, -3) O (1. 5) -6x +5 0

A:

Q: 4) Solve the Cauchy euler equation x- 3x2+ 6x2-by = 3 + Inx dr

A:

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: (1+i)·(10Z60°) Express your answer in rectangular form. (3–7i)+(9Z120°)`

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

Q: Example 2.40. Solve x¹-5x³+20x² 40x+60=0, given that all the roots of f(x) = 0 are complex, by using…

A: Here we need to solve equations using Lin-Bairstow Method.

Q: Find the value of the real number a if -1 – 2i is a root of the equation z² + az +5 =0. What is the…

A:

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

A:

Q: 4 Get all the roots of 2(V3i – 1) |

A:

Q: 11. Show that 1 + 4i is a root of the equation 2z3 - 3z2 + 32z + 17 = 0. Hence, find all the roots…

A: Answer

Q: Find all exact solutions to 3sin²(0) – 7sin(0 ) + 2 = 0

A:

Q: 4 13. Find the positive root of the equation x- 1 x + 1 %3D 12

A: solve the following

Q: 6. From Descantes rule of signs, condude that the equation roots. x2n-1=0 has 2n-2 imaginany

A: x2n - 1=0 So, total number of roots are 2n.

Q: If we have equation z5 +4i=0  1. Determine all solutions of the given equation in exponential form…

A:

Q: How to solve this equation by factoring  6sin^2(x)+5sin(x)+1=0

A: We have to multiply 6 and 1. 6 times 1=6Then we factor 6 so that, sum of the fcators= 56= 2 times…

Q: If the roots of equation x² - 2cx + ab = 0 are real and unequal, - then prove that the roots of x²…

A:

Q: 3) Express 4sin 2x+3 cos 2x in the form of Rcos (2x-a). Hence, solve the equation | 4sin 2x+3 cos 2x…

A: The given trigonometric expression is, 4sin2x+3cos2x=5432+42sin2x+332+42cos2x=545sin2x+35cos2x⋯⋯1…

Q: 11. Having a radius V85, through (5, 9), (1, –7). Solve in two way.

A:

Q: 5. Use Newton's method to find all four solutions of 4z cos(2r) - (r-2)2 = 0 in [0, 8 accurate to…

A:

Q: The two smallest positive solutions of 2sin(x)+3cos(x)=2 are:

A: 2sinx+3cosx=2 We need to find the two smallest positive solutions for the above function.

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: If x,y,z belong to natural number solve the equation: 1/x+2/y-3/z=1

A: 1x+2y-3z=1

Q: Show every step you used to get the answer

A:

Q: Solve for x. 3 In (x-7)=12 Do not round any intermediate computations, and round your answer to the…

A: Using property of exponential  and logarithmic,

Q: Find the complete or particular solution of the following diffi- rential equations:

A:

Q: 2. Find all the solutions of 10 sin z = 9.

A:

Q: An equation of the form ax + b = 0 is called a(n) _______  equation or a(n) _____-degree equation.

A: We know, An equation that can be written in the ax+b=0 where and bare real numbers and a≠0 is called…

Q: 1. Use the graph of y = VI to estimate the solution(s) to the following equations YA -150 -120 -90…

A:

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

A: We have to use quadratic formula  Roots of  ax2+bx+c=0                x=-b±b2-4ac2a Also we have to…

Q: (2) Using the False position method with a, = 4 , bo = 5 to estimate the solution of the equation x3…

A: GIVEN :-  The solution to the equation : x3 - 7x2 + 15x = 19 with a0 = 4 ,   b0 = 5. To Determine :-…

Q: 11. If AB = 8z + 5, CB = 10z – 1, and BD 1 AC, solve for z.

A: Given, AB=8x+5, CB=10x-1

Q: -iz dz= e -i

A: image is attached

Q: 9.15 Solve 3+2i 41fzl S2+il (2+i] - i 3

A:

Q: .15 Solve [3 + 2i 4]Szl- S2 + il (2+i] - i 3.

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

Q: Solve the equation In(x – 11) – In(x – 6) = In(x + 1). %3D

A: Here have to solve the given equation,  ln(x-11)-ln(x-6)=ln(x+1)

Q: (2) Using the False position method with a, = 4, bo = 5 to estimate the solution of the equation x³…

A: See the attachment

Q: 2. Use the quadratic formula to find the roots of the equation: 5x - 4x +8 = 0. -4+ 12i 5. O x = 3…

A:

Q: 1+z -= 8i - 5 1- z (1) Solve for z,

A:

Q: If one of the roots of ax^2 + bx + c is 2/3 + 5/9i where a, b and c are integers, what is the value…

A: Explanation of the answer is as follows

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: 5 Solve for x in simplest a + bi form: x+ 8x + 25 0

A: The quadratic equation is given by x2+8x+25 = 0 To evaluate : The value of x

Q: 15. Show that the equation, ³ + e* = 0 has exactly one real root.

A: we have x3+ex =0to check number of roots we can draw graph of both and check number of intersection

Q: The equation sinx= 1/2 has____________solutions in [0,2pie)

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.