Determine the set of values of k for which the equation (3-2k)x + (2k – 3)x+1 = 0 has no real roots.

Q: If [x² - 2x + a] = 0 has no solution, then find the values of a (where [] represents the greatest…

A: Sol

Q: Find the values of k for which the equation x3+5kx+16=0 has no real roots

A: Given- x2+5kx+6=0 To Find- The value of k for the above quadratic equation has no real roots.…

Q: B. Find the value of k that makes x2 + (k + 5)x + (5k + 1) a perfect square.

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Q: Show that the roots of px2 + (p - q)x - q = 0 are real for all real values of p and q.

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Q: O Determine k such kr' -4x+ 0 that has real and different solutions.

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Q: The positive value of k for which x2 +kx+64=0 & x2 -8x+k=0 will have real roots

A: Given the quadartic equations(1)x2+kx+64=0(2)x2−8x+k=0

Q: The positive value of k for which x2+kx+64=0 & x2-8x+k=0 will have real roots

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Q: Find the values of k for which the equation x3+5kx+16=0 has no real roots

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Q: Find all the real roots of p(x) = 3x3 – 14x? – 125x + 532 19 given that one of the roots is = 3 19 X…

A: We can solve the problem by doing the multiplication at first.

Q: Find k so that f(x)=2x² +12x + k has one root.

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Q: The positive value of k for which x2 +Kx+64=0 & x2 -8x+k=0 will ahve real roots

A: The positive value of k for which x2 +Kx+64=0 & x2 -8x+k=0 will ahve real roots.

Q: Determine k such that kx² – 4x+- 0 has real and different solutions.

A: Let us consider a quadratic equation ax2+bx+c=0 then the solution for the equation is x=-b±b2-4ac2a…

Q: Find a formula for the polynomial P(x) with • degree 3 • real coefficients • zeros at a = -5-2i and…

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Q: The positive value of k for which x2 +Kx+64=0 & x2 -8x+k=0 will ahve real roots.

A: Given two equations x2+kx+64=0 --(1)x2-8x+k=0 --(2)we need to find the positive values of k fowhen…

Q: 6. %3D Determine the number and type of roots of g² + 10 = 3x -3.

A: GIven :  x2 + 10 = 3x -3

Q: 6. Find the values of k that will make the roots of 3x2- kx +12 = 0 ea

A: Please refer to the image below

Q: The positive value of k for which x2+Kx+64=0 & x2-8x+k=0 will ahve real roots.

A: Given  The quadratic equations  1)  x2+kx+64=02)  x2-8x+k=0   Formula  Quadratic formula   if…

Q: Determine the number of real imaginary and Solutions for the 3 2 f(x) = 2x² + 4x² +9x²³…

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Q: 12 Given that, for all values of x, 4x-8x2-12x + 11 (2x + k)Q(x) + where Q(x) is a quadratic…

A: Quadratic expressions

Q: 1.Solve the following polynomial equations.  a)  2X2+1=x2+2X

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Q: If -5 is a rooot of the quadratic equation 2x2+px-15=0 and the quadratic equation p(x2+x)+k=0 has…

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Q: Find the roots of x^2 + (k^2+1/k) x + 1 = 0

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Q: Determine k such that Kx2 - 4x +1/2 = 0 has real and different solution.

A: To determine k such that kx2-4x+12=0 has real and different solution.

Q: 3. Find all zeros of P(x)=2x^3-5x^2+3x+3

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Q: Find the number of primitive 8th roots of unity in GF(9) .

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Q: If f(x) = 3x2 + βx + 4 and f(−1) = 12, what is the value of β? Show that If 2 is a root of  kx4 -…

A: Given  f(x) = 3x2 +βx + 4 f(-1) = 12 β = ? f(-1) = 3(-1)2 + β(-1) +4 = 12            3(1) -β +4 = 12…

Q: Find the real solutions of x2 - x - 1 = 0.

A: x2−x−1=0x=−b±b2−4ac2aHere,x=−−1±−12−4⋅ 1⋅−12⋅ 1

Q: 2. Find the zeros of the equation x - 100 = 0 O A. X 10 O B. X = 50 O C. x= -10 and x = 10 O D. x =…

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Q: 3. Determine the value of K so that x+3x +kx - 24 has x +2 as a factor.

A: Solving the problem by putting the the value of zeros in given equation.

Q: A real root of x3 – 3x? + x +7=0 lies between two consecutive integers. Find these two integers.…

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Q: Let p(x)-x-5x?+4x-20. Verify that p(5)-0 and find the other roots of p(x)-D0.

A: p(x)= x3 - 5 x2 + 4x -20   Verify that p(5)=0; p(5)= 53- 5*52+4(5)-20 p(5)=0   Hence, x= 5 is one…

Q: Find all the rational, irrational, complex zeros x^4+3x^3-3x^2-15x-10

A: Given information: x4+3x3-3x2-15x-10

Q: 5) Find all real solutions: x -6x% =-1

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Q: The positive value of k for which x2+kx+64=0 & x2-8x+k=0 will have real roots

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Q: The complete set of the real values of k for which the equation x + kx +2k 0 has real distinct roots…

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Q: Determine k such that the solution of (k+ 15)x + (k - 30)x + 4 = 0 has a double root

A: (k+15)x2+(k-30)x+4=0double roots mean same root.so that b2-4ac=0compare with…

Q: mà the set of values of k for which 4x2 -4lx+2k+3 = 0 has no real roots.

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Q: Use the Intermediate Value Theorem to show that the equation x6 − 8x4 + 10x2 − 1 = 0 has at least…

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Q: Determine the roots of f(x) = -12- 12x + 18x² - 2.75x³ a. Graphically

A: A. Hint: The given equation is f(x)=-12-12x+18x2-2.75x3. Differentiate the given function with…

Q: Given that-2 is a double root of p (x)=x4-2x3-27x2- 52x-28. Find all the roots. All the roots of p…

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Q: In finding a real root of the equation x^3 - x - 10 = 0 by bisection, if the root lies between x0 =…

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Q: use the discriminant to help solve each problem. Determine k so that 4x2 - kx + 1 = 0 has two equal…

A: For a quadratic equation ax2+bx+c=0 the discriminant can be used to determine the number of real…

Q: Solve the following polynomial: xª -10r3-78x = -40x2 - 63 Select all that apply. Ox = 3…

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Q: Find the value of k in the equation x2 – 3x + k = 0 if its roots are real, irrational and not equal.

A: Since you have multiple questions in a single request. we would be answeringonly the first question…

Q: Determine the definiteness of the quadratic form q(x) = xỉ + 2V6x,X2 + 2x3

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Q: Determine the roots of f(x) = -12- 12x + 18x² -2.75x³ a. Graphically

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Q: Which polynomial has 3i, -3i, and 3 (with multiplicity 2) as its roots? A x3 - 3x? + 9x + 27 B x* –…

A: Options  x3 - 3x2 +9x + 27  x4 – 6x3 + 54x - 81  x4 - 6x3 + 18x2 - 54x + 81  x4 - 6x3 + 12x2 - 18x…

Q: (a) Is there any real number c for which qı,-(c+1).c does not have real zeros b) Find a E R for…

A: Given that (a) To find any real number c for which q1,-(c+1),c does not have real zeros: (b) To find…

Q: determine the value/s of k if one of the roots of kx2 + 3x - 7=0 is 2.

A: NOTE: Refresh your page if you can't see any equations. . the given root is x=2

Q: Find the set of values of k for which 12-4x-3x |=k has two distinct solutions.

A: If a quadratic equation has distict root iff b^2-4ac not zero