4. Determine the roots of the equation x + 2x - 15. x + 2x = 15

Q: For which equation does the sum of the roots equal – and the product of the roots equal – 2? O 9x² +…

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Q: 2. Solve each equation. Identify any extraneous roots: a) (x+3)2 – 1=X -1= x b) V3x +13 = X +5 c)…

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Q: If the roots of x²-ax+b=0 is twice the other.find b in terms of a

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Q: Describe the nature of the roots of the equation 49x^2-28x+4=0

A: Given that, 49x^2-28x+4=0

Q: Show that the equation x - 17x + c = 0 has at most one root in the interval [-2, 2].

A: Any function y = f(x) will have exactly one real root in an interval if the function is either…

Q: Determine all the roots of R(y)=12y²+11y-5

A: R(y)=12y²+11y-5

Q: I Without solving, find the sum and product of the roots of each of the followine equations. 1. 4x…

A: As per the company guidelines we are supposed to answer the first question of first 5…

Q: Which of the following quadratic equations has roots at (-4, 0) and (10, 0) and goes through the…

A: Option (C) is correct option. The roots of the equation are -4,0 and 10,0. So, x=-4,10. Use the…

Q: 22. Solve vx-3 + vx+2 = 5. Be sure to check for extraneous roots.

A: An extraneous Solution is a root of a transformed equation that is not a root of the original…

Q: 4. If A is the set of roots of the equation x³ – 3x + 2 = 0, then A is equal to a) {1; –3; 2} b)…

A: We have to find the roots of the given equation. To find roots of this equation we are going to…

Q: Find the roots of the algebraic equation x + 10x² + 41x + 50 =

A: Given, the equation                             x3+10x2+41x+50=0

Q: The equation x-7x²+ 14x² +2x-20=0 has how many roots?

A: we have to apply properties of polynomials to solve the question

Q: What is the value of 'k' if the roots of the quadratic equation 2x*2 +kx +2=0 are equal?

A:

Q: The equation z? + 6* – 2x + 6 = 0 has two roots. The smaller root is and the bigger root is

A: topic- roots of a equation

Q: What is the possible values of b when the difference between the roots of the equation x² + bx +1=0…

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Q: It is given that a and B are the roots of the quadratic equation 2x+4x- 3 = 0. Form a quadratic…

A: If α and β are the roots of the quadratic equation ax2+bx+c=0, then α+β=-baαβ=ca Consider the…

Q: Which of the following are the approximate solutions of the quadratic equation 3x + 20x + 32 = 0?

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Q: 19. Find the roots of the equation: 3x² = - 27

A: Question no 20 is not completly shown.(data missing) So i just solve question no. 19. If u need…

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

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Q: Find the roots of the equation z² - 4z + 5= 0

A: Solution

Q: Find the quadratic equation given two roots using x^2 - (r + s)x + (r ⋅ s) = 0 1. 4 and 5 2. 6 and…

A: topic - quadratic equations

Q: The two initial values of the roots of the equation x^3 - x - 3 = 0 are A) 1,0 B) -2, 1 c) -1,0 D)…

A: Please refer the attached image for complete solution. THANK YOU.

Q: Solve the diffenestigl equation デーナーcosh (2-2)

A:

Q: Find an equation in the form ax^2 + bx + c = 0 with roots 4 and -7/6

A: The equation is : 6x² - 17x - 28 = 0   The detailed explanation is as follows below:

Q: 3. Which of the following quadratic equations will have two real and distinct roots? B. 9x- 6x +1-0…

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Q: Find all positive integer solutions to the equation 3x – xy – 2x + y + 9 = 0. -

A: Given,           3x2-xy-2x+y+9=0

Q: Find the roots of the equation z³ – 1 = 0.

A: Given,           z3-1=0

Q: Show how to solve this equation algebraically: 3y – 5y – (2 – 3y) = 8y + -5y + 14

A: topic - equation in one variable

Q: 5. Find all solutions for the equation: 2x + 4x? – 30x= 0

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Q: If the roots of equation x² - 2cx + ab = 0 a the that th of 2 20 41

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Q: I. Find the solution sets, discriminant, quadratic equation and describe roots of the following…

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Q: 13. Find the roots of the equation x+9x+ 18-0. A. 3 or 6 B. 3 or-6 C.-3 or 6 D.-3 or -6

A: As per guidelines, We’ll answer the first question since the exact one wasn’t specified. Please…

Q: show that Pg(x) =1 (63x' -4 (63x-7ox+15x) 8. Legendre equation when is. equal to 5. fies the…

A: legendre equation with parameter 5 is (1-x2)d2ydx2-2xdydx+30y=0 .....(1) y…

Q: 5. Write an equation that would have infinitely man solutions with the equatio below: 5x + 3y-12

A: We have been given the equation  5x +3y - 12

Q: solve the equation x^3-3x^2-9x-5=0 given that it has two equal roots

A: The given equation is                               x3-3x2-9x-5=0 Now we solve this for x .…

Q: Use the constant term and leading coefficient to list all the potential roots of the expression. 5x*…

A: The given expression,   5x4+x3+3x2-7

Q: 4. Which of the qundratic equation has no real roots? 1. x*+ 3x - 10 -0 5 Whnt is the nature of…

A: The equation ax2 +bx+c= 0 has real roots if b2 -4ac=0

Q: Solve for x in the equation 6e¬×/2 = 2.

A: An equation is a mathematical statement which shows an equality relation between two expressions. It…

Q: Find the range in which the roots of the equation 3x^5-15x^3+4x-4=0 lie.?

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Q: 2. Write an equation in standard form ax? + bx + c that has roots of x = 4,. %3D

A: The roots of given equation is x=4,12 To find the equation in standard form

Q: Q.3. Solve the equation x+x-8x-12 0, given that it has two equal roots.

A: The given equation is: x3+x2-8x-12=0

Q: Solve the following radical equation: V3x-5 x- 3 O x=-2, x = -7 O No solution Ox= 7 OX= 2, x =7

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Q: for the roots of each equation. 55. 2r-5x² + 6 = 0 56. 2r3 - x2 - 5x + 3 = 57. 4x + 8x2 - 11x 15 = 0

A: We have to used rational zeroes throem

Q: If a and B are the roots of the equation x² - 3x + 4 = 0, the equation whose roots are a? + a + 1…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Q.No.3 Find the roots of the equation and also verify your answers. 2x-3x²+1-0

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Q: 2. Solve the equation x-3x-9x-5=0, given that it has two equal roots.

A: to solve the given equation

Q: What is/are the value/s of k in the quadratic equation 2x² – 5x – k = 0 whose roots are imaginary?…

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Q: Complete the table below. Show your solutions. Equation 1. x2 + 5x +4 = 0 2. 2x2 + x-21 = 0 3.4x2 +…

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