If x8 = 16, then the number of roots of form a + bi where a and b are integers is: а. 1 b. 2 С. 4 d. 6

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: If y = C1 + C2x +e2*(C3cosx + C4sinx), then the roots are

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Q: If -8cos20 – 4 = -12, where 0 < 0 < 2T, what are the values of 0? List your answers as exact answers…

A: Given-8cos2θ-4=-12where 0≤θ≤2π

Q: These equations can be solved to give [Q] [0.7321 0.2679 0.1964 0.0714 0.0536 0.0178]. comoo 200--0

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Q: m = -3, -2+i,

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Q: Solve the following PDE 2ux + yuxy = x?

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Q: If one root of the equation ax +bx + c = 0 is equal to the nth power 1/n+1 1/n+1 of the other root,…

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Q: Solve the following equation for x. In ( In 7x) = 0 X = (Type an exact answer.)

A: the given equation is: lnln7x=0 we have to solve the given equation for x.

Q: 18. Simplify: i9 + j21 + j2050 in form a + bi.

A: Complex number a+ib form

Q: Ex:. Find the fourth roots of Z=-di Say no 4 K = 0₁12₂3

A: given z=-8i To find the fourth root of the given complex number proceed as follows comparing the…

Q: نقطة واحدة Which of the following numbers is a valid value of cubic root of (2 + i5) 1 - i3 -0.2217…

A: Given complex number is : 2+5i To find the cube roots of complex number 2+5i13

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: If a, a2 an are the positive roots of Jo () = 0, show thet ..*** %3D ("D) !p "D/(x "D) °r3

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Q: 6. Find of z = In(xy) 8²y

A: Given:       z=lnxy     ∂z∂y=∂∂ylnxy  Treat x as constant  Apply chain rule:…

Q: Which of the following is the complete set of roots of the auxiliary equation fory""-3y+3y'-y = 0.

A: Given y'''-3y''+3y'-y=0

Q: If AC = x+ 11, and AB = 20 solve for x. B

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Q: Solve the following equation for x. 1 In (1-x) = - 4 X = (Type an exact answer.)

A: Solution:Givenln(1-x)=14To find x Formula:ln ex=x

Q: Show that the equation is an identity.

A: We have the given equation as 3x-42x+1+5x=6x2-4

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: Find w =a +bi , where a and b are real numbers. %3D 120-22i

A: Given120-22i

Q: If 7, r, and r, are the roots of equation x-2x+3=0, then findErr,. إختر أحد الخيارات: -2 a O .b O…

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Q: 12. For what values of k, will the equation 3x? +4x + k = 0 have two equal roots?

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Q: Give the general solution to the HLDE with the given set of auxiliary roots

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Q: Which of the following is the complete set of roots of the auxiliary equation fory"'' - 3y "' + 3y…

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Q: If a, b, c are integer powers of 2, prove that equation a + 64 = does not have solution, otherwise…

A: Given: Let a,b,c are integer powers of 2 .

Q: If AC = x + 8, and AB = 25 solve for x. B

A: if two tangents are drawn to a circle from a single point then there lengths are equal

Q: For any numbers a andb and an even natural number n, show that the equation x" + ax + b = 0, x in R,…

A: Here, to prove this result we have to use Rolles theorem.

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: 1. у" — бх+3

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

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Q: If a + ß and o² = 5a - 3 and ² = 53-3, find the equation whose roots are alß and B/a.

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Q: Given that P(z-M)-0 wherei(1LO(1-20andP and Q are real constants. Write down in a form a+bi and find…

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Q: Solve for the exact value of x. 3 In(5x – 1) + 17 = 29

A: Use the properties of natural lograthim and simplify.

Q: If plq-r)x+q (-p)x+rp-q) = 0 has equal roots, then prove that ² = 1,1 9 Pr pr

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Q: SOlve the following LDES. Answer must be Integer 2. 4 メ' *; x lo) = () %3D -1 6 4t bt +1 4t Ans : X…

A: Hello, thanks for your question but according to our policy I am answering the very first question.…

Q: If p, q e {1, 2, 3, 4}, the number of equations of the form px? + qx + 1 = 0 having real roots is

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Q: If q(x)=0.6x^33^x and a=3, what is q′(a) to the nearest tenth?

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Q: Solve the following equation for x. In x2 = 3 X = (Type an exact answer. Use a comma to separate…

A: Given: ln x2=3 To Find: To solve for x.

Q: Show that if p, q, r and s are real number and pr = 2 (q + s),then at least one of the equations x…

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Q: Solve the following equation completely. x* + 2x + 6x? 8x – 40 = 0 - - The real solutions are x =…

A: Our Aim is to solve the equation completely given below:-x4+2x3+6x2-8x-40=0 -(i)Our Aim is to…

Q: 2. Determine all solutions in the integers of the following Diophantine equation: 24x + 138y 18. %D

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Q: Solve for z, and give your answer in the form a+bi. z=(-5+31)(-5-4i+z)

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Q: 15. Show that the equation, 2³ + e* = 0 has exactly one real root.

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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: If a, ß be the roots of ax² + 2bx + c = 0 and a +8, B+8 be those of Ax² + 2Bx+C =0, then 2 6² b 1 ac…

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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: Reduce to the form a + bi: a. (1/i)2509 b. In (-5).

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Q: If the auxiliary roots of a certain HLDE with constant coefficients are 2, -3, and -3, then the…

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Q: 1? Which of the following quadratic functions has roots x = 3 and x = O x?+ 4x + 3 O x? + 2x – 3 O…

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