Find all the solutions of z° . .. + 8° = 0 + 8z° + 8²z7 +

Q: a) Find the parametric equation of the line that passes through points S (2,-1,3) and T (-1,1,-2).…

A: We have to do the complex number problem and equation of line

Q: If i*** =i, where i = -1, then which of the following is a solution for x?

A:

Q: Use a calculator to find all solutions of the equation in rectangular form. x5 - 3 + 5 i= 0 Choose…

A: Solve for x. x5-3+5i=0 Implies x5=3-5ix=3-5i15

Q: Solve equation z^3+27i = 0 and answer with the exact value in the form a+bi.

A: z3=27i

Q: Solve the following system of equations. (Enter your answers as a comma-separated list. If there are…

A: Given to solve the system of equations. The system of equations can be solved using elimination.To…

Q: Find all the solutions of the Diophantine equation 30x + 12y = 6. %3D

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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: Note; à--stands for alpha. B--stands for beta Find the quadratic equation whose roots are ą+5/B…

A: Given quadratic equation is 2x2+7x-3=0  α and β are the roots of the given quadratic equation. We…

Q: Find all solutions of the equation sec 4x 2 = 0. %3D - k T and B + k -T where k is any integer and 2…

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Q: Show that the equation 24 = (-5 – i/T) z+(60 – 80 i) has no solutions in the closed disc z| < 3.

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Q: Solve the following system of equations. (Enter your answers as a comma-separated list. If there are…

A: Given:

Q: 1. Point B is equidistant from points A and 4x Зх + 4 2. Find AB. 3. Find BC.

A: Consider the diagonals of the figure intersect at point O. Then AO=OC and BO=OD. Since, AO, OC, BO…

Q: ind the missing coordinate to complete the given​ ordered-pair solution of y=3x−6. ​(−3​,?)

A: The solution is :

Q: Find all solutions in C of the given equation. z4 = −1

A: z4=-1⇒z=-114⇒z=-1+i·014 Now consider, w=-1+i·0 Now, r=-12+02=1 &amp; θ=tan-1yx=tan-10-1=π-tan-10…

Q: Find the values of z= V2+3i in rectangular form.

A: Write (2+3i) in polar form. Then r= √13 , theta =tan-1(3/2).

Q: Find all the solutions of the Diophantine equation 6x + 9y = 21 %3D

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Q: Determine the general solution of each of the following equations: (a) y" + 2y' + 5y = 3sin2x

A: a) Given:         y''+2y'+5y=3sin2x         5yx+2ddxyx+d2dx2yx=3sin2x This differential equation has…

Q: Find the exact solution of each equation. 4sin-1x=π.

A: Given 4sin-1x=π

Q: yeddy

A: Find the general solution of the given equation:   yex+ydy=dxThe given can be written…

Q: Find all integer solutions x and y of the Linear Diophantine Equation 13x + 26y = 7. If no solution…

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Q: 4. Find the exact solutions to x? + i = v3 using De Moivre's Theorem. Write your answers in…

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Q: Solve the following system of equations. (Enter your answers as a comma-separated list. If there are…

A: Here the given equations are:

Q: Question 10 (a) Solve the following equations (а) Зх -2х -130 (b) 3x + 4x +1 =0 (c) 2x + 5x +2 = 0…

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Q: FIND VALUES (IF ANY) OF THE UNKNOWNS X AND Y WHICH SATIFY THE FOLLOWING MATRIC EQUATION - 4 – 3] y…

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Q: Find all the solutions of the Diophantine equation 25x + 55y 50 %3D

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

A: Given equation is, 2Sinx+3=0

Q: The equation of a line is r=i- 3j + 7k + µ(3i + j+ 2k)and th= equation of a plane is 2x + 3y – 2z =…

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Q: 4x1 + X3 7 7x, + 2x, = -2 + 4x3 = 11 %3D 3x1

A: First we solve this by Gauss siedal method and then solve by Gauss Jacobi method.

Q: The roots of the equation z²- (8-5i) z + 40-20i = 0

A: See the attachment

Q: ind the x and y-intercepts of the equations x^2-2xy+4x=1 and  9x^2-4y^2=36

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Q: Find all solutions to the equation. 3 cot0-1 0

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Q: The equation z + pz+q = 0 is given. Find parameters p and q such that the difference of roots of the…

A: Given :          x2 + px + q = 0 To find:           the value of p and q Let a and b be two roots .…

Q: 5. Solve the equation using Lagrange's method: 2xr -15x+18 0

A:

Q: The equation of two side of a triangle are y = m11 aDnd y= m2r, where and | m1 mg are two roots of…

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Q: Find all the solutions of the Diophantine equation 25x + 55y = 50 %3D

A: Given equation is                                                          25x+55y=50 it can be…

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: How many distinct solutions does the following equation have? I1+I2+I3 +24= 100, such that %3D I E…

A: To find the distinct solution of x1+x2+x3+x4=100 Since, x1∈{1,2,3..},x2∈{2,3,4,…},x3,x4∈{0,1,2,3,…}…

Q: Solve the equation z +j2z+(1- j)= 0. Express the answer in Cartesian forms.

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Q: GIVEN: A:b= 2 -5 13 -24 3 1 -6 -2 USING GAUSS-JORDAN REDUCTION METHOD (SINE), FIND THE SOLUTION SET.

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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: Solve the following system of equations. (Enter your answers as a comma-separated list. If there are…

A: First equation: x1 + 2x2 + 8x3 = 2and second equation: x1 + x2 + 4x3 = 1

Q: Solve the equation =+2=+4%3D0 and give the an swer in the form of a+ib

A:

Q: Find the general solution of the following equations'- у" +3у"-4y' -6у %3D 2sin?x

A: The linear homogeneous ordinary differential equation with constant coefficient is given as:

Q: 4. Solve the equation z' - V2(4– 4i) = 0, giving your answers in Cartesian form.

A:

Q: (a) Solve the following equation: +3 (1 – 2i) + 8 – 6i = 0. Hint: Find all possible distinct values…

A: Given: The given equation is z4+3(1-2i)+8-6i=0

Q: The Diophantine equations 14x + 35y = 91 cannot be solved %3D ulgn ) ihi O

A: The Diophantine equation ax+by=c has a solution if and only if gcd(a,b) | c Here a = 14b = 35 Then…

Q: Given that a special solution shown next to the Riccati equations below is known, the general find…

A: It is known that the Riccati equation is dydx=Axy2+Bxy+Cx. The given Riccati equation is…

Q: By the Lagrange's method, the roots of the equation 2x-7x+6=0are: x=- (tu -a) 7. here a =--. Then…

A: Option (b)  1/2 is correct.

Q: In rectangle RECT, diagonals RC and TE Intersect at A. If RC = 12y-8 and RA = 4y +16. Solve for y.

A: Given : RECT be a rectangle where RC and  TE  diagonals intersect A.   RC = 12y-8RA = 4y+16

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…