15. Given the equation 3x-4x -12 =0, how many roots are there? Rational or irrational?

Q: 1. Discuss the possibilities for the roots to : 2x-5x -6x+4 = 0

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Q: 20 ) Solve the following rational equation: = 3 x+3 2/X

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Q: 4e = 60 ,0.1x

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Q: yes but the negative radical 2 is not a real number and in the options they are asking for a real…

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Q: What is/are the value/s of k if the roots of X2 + x + k = 4 are equal?

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Q: f 2 is one root of the equation 4x3 + kx – 24 = 0, then the value of k is       8   –1…

A: The standard form of a cubic equation is given by ax3+bx2+cx+d=0, where a≠0. If a=0, the cubic…

Q: 1 1 1 +. 4n2 %3D v 2n 4n

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Q: How many non-negative integer solutions are there to the equation xi + x2 + x3 = 13, if we insist…

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Q: Solve for x. 3 In (x+1)= 15 Do not round any intermediate computations, and round your answer to the…

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Q: 7. Which of the following most precisely describes the roots of the equation 3x2 + 4x-1 0?

A: We first compare the given equation with ax2+bx+c=0  so, a=3, b=4, c=-1 The discriminant for the…

Q: would you prove that the answers to the diophantine equation y^2-x^3=0 are the pairs (n^2,n^3) for…

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Q: Please answer the attached question.

A: Given:The solution set of a rational function whose domain is {x | x ≠ 5}.The solution set to…

Q: 1. One of the roots of -5x²(x³ + 2x - 7) is 0. How many other roots are there? А. 3 В. 4 С. 5 D. 6

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Q: 3. Find the real roots of the following rational equations. – 7x a. 9x + 11 -12=1 9x +11 X-1 x+2…

A: Given, (a) -7x9x+11 -12 = 1x  (b) x-1x+2 =3x+85x-1   We have to find the real roots of given…

Q: What are the solutions to (3x + 1)(x + 8) = 0? O 1/3 and 8 O -1/3 and -8 O-3 and -8 O-1/3 and 8

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Q: Solve for x of the equation 2 In(x+1) – In(5x+1) + In(x-1) = In(2).

A: Given query is to find the value of x.

Q: The solution set for x2 - 4x - 37 = 0 is {2 ± √41}. With a calculator, we found a rational…

A: 5x2-9x+1=0

Q: A student is working on the rational equation + = 7, æ # –1.After multiplying both sides of this…

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Q: 1. Detemine, whether and -v5 are roots of the equation 10a – 5 = 2a3 - a?.

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Q: 12. If the x-term is missing, then the quadratic equation cannot be used.

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 1. Find the roots of x² + 8x + 11 = 0. Solution: x +8x = x + 8x + (x +? = 5 and X1 = *X2 =

A: Solution..

Q: 1. Detemine, whether and-5 are roots of the equation 10a –5 = 2a3 - a?.

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Q: Solve the equation In (5x + 7)- In (x + 2) = In (2x + 2) - In 1

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Q: 1. Solve for r in 3+x > 2. 2 - x |

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Q: quadratic equation

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Q: 11. Solve in the interval [0, 2n). 4sin?x + 2cos2x = 3

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Q: 3. Solve for x of the equation 2 In(x+1) – In(5x+1) + In(x-1) = In(2).

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

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Q: 22. Solve the following for all solutions, both real and imaginary. f(x) = 2 x - 17x + 30x -8. Since…

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Q: The solution set for x2 - 4x - 37 = 0 is {2 ± √41}. With a calculator, we found a rational…

A: Given: The quadratic equation 4x2-6x+1=0 . The solution of the given quadratic equation is given…

Q: – 10m 7 1 - Solve the rational equation: т* — 36 т +6 т — 6 - - ||

A: Given,           -10mm2-36-7m+6=1m-6

Q: 37 What is the positive solution to the equation 0

A: To find: The positive solution of the equation 0=13x2-3. Calculation: The solution of the equation…

Q: What are all the possible rational roots of 2r'+3x-10r +4=0? +1, + 2, +4 only +1, ± 2, t 4, only ±늑…

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Q: - (b) Without extracting the roots, determine which one is greater, VII-5 or, 19 – /13.

A: Solution

Q: Solve for x. 3 In (x+1) = 15 Do not round any intermediate computations, and round your answer to…

A: Given: 3lnx+1=15

Q: What are the possible rational roots of the equation x + 6x2 11x + 6 = 0 A. -6, -3, -2, -1 C.+6, +3,…

A: Rational roots of polynomial  Let us consider a polynomial of the form…

Q: 17) Solve the equation for x: 2x + 3x – 6 = 0

A: Given equation is

Q: Prove that the equation a3 – 4.x + 2 = 0 has three irrational solutions. Hin %3D but just show that…

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Q: Solve for the exact value of x. 3 In(3x + 9) + 2 = 17

A: The logarithmic equation is given by 3ln3x+9 + 2 =17 To evaluate : The exact value of x

Q: What are all the possible rational roots of 2x^3 + 3x^2 - 10x + 4 = 0?

A: Given: - The equation is, 2x3+3x2-10x+4=0 To find: - The rational roots of the given equation.

Q: The initial guesses of the roots are x,-1 = 2.5 and x¡ = 3.5 , what is the next iterative value of…

A: As per the company rule, we are not supposed to solve more than one problem. Kindly post the second…

Q: 8. What is the value of p that will make the roots of the equation 4x - px - x +4 = 0 equal?

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Q: 7.For which value of k will the roots of 2x + kox+1 = 0 be real? .2 1) 1 2) 2 3) 3

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Q: Solve for x: 5-6x+2 = 44 O O O 44 -2 -1.13 21/12/17 - 2 (4-2)--0.06 44 -2 -0.06 5 -1/10 In 44-21n 5)…

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Q: According to Descartes's rule of sign, how many possible positive and negative roots are there for…

A: Answer is  3 positive roots  And 1 negative root. Explanation is given below..

Q: Solve for x. 3 In (x + 2) = -6 Do not round any intermediate computations, and round your answer to…

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Q: Solve for x. 3 In (4x)=9 Do not round any intermediate computations, and round your answer to the…

A: The following steps are used to obtain the solution. Isolate the variable in the given equation.…

Q: Explain how you can tell from the form of the equation 522 = -2 that it has no solution. O Since the…

A: No solution because LHS can never be equal to RHS.

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.