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

Q: The equation $x^{3}-4 x-12=0$ has a root contained between 2 and 3. Find this root to the nearest…

A: To find- root contained between 2 and 3.

Q: Which shows the correct substitution of the values a, b, and c from the equation 0 = - -3x2-2x + 6…

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Q: Solve the equations for x . ax +2x =a x = if a ≠ −2.

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Q: Find β such that the equation βx 2 + x + β = 0 has a repeated real solution.

A: A quadratic equation ax2+bx+c=0 has a repeated real solution if the discriminant is 0. That is, if…

Q: Find all the real solutions to the equation ?2−2?−15=0x2−2x−15=0 and enter them as a…

A: Solve the following

Q: If 1/2 is a root of the equation x2+kx-(5/4) = 0 , then find the value of k

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Q: Find all real solutions of the equation.

A: Given :           The equation is 1 + 1x + 1x + 2 = 2x + 1 + 1x + 2  To find all real solutions of…

Q: Given that z=1+2i and z=1-2i are roots to the polynimial equation 2z3 - 5z2 +cz -5=0, where c…

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Q: of x satisfy the equation 2-3e+1 = 64?

A: we have to find the values of x for which the equation is satisfied.22x2-3x+1=64

Q: Find the value of k for which the given equation has equalroots. Also, find the roots.Also, find the…

A: Solved Below

Q: Solve 0 = x2 - 10x + 30 by completing the square. O A. x 5+i and x = 5 -i O B. x = 5 + iv5 and x = 5…

A: Solution: The objective is to solve the given quadratic equation by completing the square

Q: How many solutions does the equation (In x)² = (In x) have? %3D

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

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Q: Find all real solutions of the equation. (x + 5)2 - 3(x + 5) - 10 = 0

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Q: 4) Find the number of real and nonreal solutions for x3- x2 +3x -3 = 0

A: We have to find out

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

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Q: How to solve this non exact or exacr DE xdy+ydx-3x3y2dy=0

A: How to solve this non exact or exacr DE xdy+ydx-3x3y2dy=0

Q: For the equation z?-10z + k = 0, for what value of k does the equation have a single real root? k =

A: We have to find for what value of k does the equation have a single real root.…

Q: Find all real solutions of the equation. 4(x + 1)1/2 - 5(x + 1)3/2 + (x + 1)5/2 = 0

A: 4x+112-5x+132+x+152=0

Q: Solve by using the quadratic formula: x +10x+16=0 O A. 5+3i and 5-3i B. -5+3i and -5-3i O C. 3+5i…

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Q: For which values of k will the equation ×^2-5×-k=0 have equal roots

A: Consider the given equation. x2-5x-k=0 For the equal the root of the equation, the discriminant will…

Q: If -2 is a root of the equation x² + px - 6 = 0 and the equation x²- px + q = 0 and the equation x²-…

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Q: Solve the factorization. 2. ax-Sx +1o-0

A: To solve the equation by factoring 2x²-5x+10=0

Q: Use the quadratic formula to solve for x. 3x-3x-5 0 Round your answer to the nearest hundredth. If…

A: Given quadratic equation is : 3x2-3x-5=0 Standard quadratic equation is , ax2+bx+c=0 Comparing the…

Q: 19. Find the exact solutions and simplify as much as possible: 2x2 + 9 = 12x. Show work.

A: Given equation:

Q: Español Find all complex solutions of 6x? + 5x+4=0. (If there is more than one solution, separate…

A: We can find the complex roots as below.

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: Solve the given equation over the real numbers. Use exact values. n^−2−8n^−1+12=0

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Q: The equation x - 16x³ = 0 O (A) has two (and only two) distinct real roots O (B) has four (and only…

A: Given: x253-16x13=0 To find: The number of real distinct roots.

Q: Find all real solutions of the equation.

A: Given that the equation, 11 - x2 - 211 - x2 = 1 To solve the equation and find out all real…

Q: Find all real solutions of the equation.

A: Any equation of form ax2+bx+c=0 is a quadratic equation as the highest exponent of a variable is 2 .…

Q: Question 3. Apply the Method of Undetermined Coefficients to solve x" − 2x² + x = 2et

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Q: If 5 + 8i is a solution of a quadratic equation with real coefficients, then is also a solution of…

A: topic -complex numbers and quadratic equations 5-8i is also a solution of equation

Q: Find the value of k so that the equation 2x + kx – 5 = 0 and 2 - 3x – 4 = 0 have one root in common

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Q: the quadratic equation x2 + x = 3kx- k2 has two different real roots. find the range of value of k

A: The given problem is to find the range of value of k for which the quadratic equation has two…

Q: Q2 - A// Solve the following equation for the real numbers x and y: (3- 2i)(x+yi)=2 (x - 2y i)+ 2i -…

A: Please consider the handwritten solution.

Q: 27. Find the exact solutions and simplify as much as possible: 3x = 6x + 2. Show work.

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Q: Find the values of k for which the equation x? – 4x + k = 0 has distinct real roots.

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Q: Find all real and imaginary solutions to the equation n^3-3n^2-n+3=0

A: Given that x3-3x2-x+3 = 0we have all real or imaginary to the given equation

Q: (4) Find ß such that the equation ßx² + x + B = 0 has a repeated real solution. 100

A: We have to find the value of beta.As per guideline we have to solve only one

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: 19. Find the exact solutions and simplify as much as possible: 2x² + 15 = 14x. Show work.

A: The given equation is  2x2+15=14x

Q: How many real-number solutions are there to the quadratic equation 2x2 + 5x + 1 = 02 a. eslim b. 1…

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Q: Find all solutions of"equaion: the X+I 2^+7* = 2•3^+5X.

A: We are given the following equation : 2x+1 + 7x = 2×3x + 5x And we have to find all the solutions…

Q: Find all real solutions of the equation (x – 6)“ = 25. and x2 with x1 < x2 X1

A: Given equation x-62=25 To find the x  The left side is expanded x2-12x+36=25x2-12x+11=0

Q: Find all real solutions of the equation.

A: Real solutions of a function can also be found by plotting the function on a graph. The x-coordinate…

Q: 四同 1 こ-

A: using the definition of linearly independence, we solve the given problem in next step......

Q: 5) Find all real solutions of the equation below. 2 4 x +6 x + 8 x2 + 14x + 48

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Q: the larger root of the equation (x+4)(x-3)=0 is

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Q: Given that the equation z2 + (p + iq)z + r + is = 0, where p, q, r, s are real and non-zero has a…

A: Introduction :--