solve the following rational equations and inequalities. Show your complete solutions.State your conclusion 1. 2x-5/x+1 - 3/x2+x = 0 2. 1/y - 1/6 = 2/3 3. 3/x+1 = 9/x2-3x-4

Q: 2. Solve the following inequalities algebraically. a) -(5x – 9) > 8x – 30 6x+1 b) 9-x c) 10 < 3(2x –…

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Q: B1(b): Solve the initial value problem : f' (x) = x12 – 4x4 + 12x + 13 and f(0) = 2.

A: The given differential equation is f'x=x12-4x4+12x+13 and the initial condition is f0=2. Solve the…

Q: Solve the following equation by making an ap 7x2-33x1+20=0 The solution set is (Type an integer or a…

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

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Q: Find the general solution of the equation x' + 5x(t) = 3.

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Q: Find the rational roots of equation: 3y³+5y²+8y+4

A: We have fy=3y3+5y2+8y+4   We have to find rational roots of given equation fy=03y3+5y2+8y+4=0…

Q: Find interval containing the solution to the equation x°+4.01x²+4.002x- 1.101=0 O [0, 1] O [1, 2] O…

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Q: (2.x – 7) In(x + 2) > 0 -

A: We have to find the value of x for this inequality.

Q: for the function f(x)=x2+2x-3  solve f(x) is less than or equal to 0 to find the solution

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

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Q: 6. Solve for x: 8x - 2-5x= 8A 6-A x 13 6-B x 2 1/2 6-C x 3 1/3 6-D x =7

A: 8x-2-5x= 8A solve it.

Q: Solve the following rational equation. x +1 4 3x +3 4x +4 16x + 16

A: Given:x+13x+3+x4x+4 =416x+16

Q: Solve the following rational equation. (attached)

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Q: nf: N→R by f(x) = X x+2

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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: 4. 5. 6. x² + 10x + 10 = -22 x² + 3x - 40 = 0 x² + 3x + 1 = 0

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Q: Solve the following rational equation for the valid solution of x. 3 + a+6 30 22+2x–24 x-4 X =

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Q: For the equation 3tan2x-5tanx+k=0, state the value of k for which there are three solutions in the…

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Q: Use the convolution theorem to solve 1 (s²+4)

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Q: I. Find the solution to the following rational equations. (Show your solutions) 1.+=2 5x x-2 8 х-5…

A: As per our guidelines we are only supposed to solve 3 subparts. So we will solve 4,5 and in test 2…

Q: 4. Solve the following rational equations: A. +1 = 2+1 r+6 r+6 B. +- 10 12-2x %3D I-2

A: This question can be solved using the concept of solving rational equations.

Q: Use the method of undetermined coefficients to solve y''- 4y'+3y = x^2+ 2x-3e^3x.

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Q: The interval notation for the solution x' – 2x² +3x x² – 4 >0 İs -

A: An inequality is greater than zero, if numerator and denominator in combination outputs the result…

Q: Q1:- Solve the following Des 4) y" – 4y' + 3y = 4x+3e" 2x

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Q: Q5 Solve the following second order equations 1. 2x2-2ix-5 0 2. x2 - 2x +5 0

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Q: Solve the following equation for x 5x-3=3x-5

A: In this question , we can solve for 'x'.

Q: Solve the following rational equation. x +1 %3D 3x +3 4x + 4 16x + 16

A: We have to solve the rational equation: x+13x+3+x4x+4=416x+16 Rewriting the given rational equation,…

Q: Solve the following rational equation. X+2 3 + 4x + 12 3x +9 9x + 27

A: Given equation: x+24x+12+x3x+9=39x+27 Solve the rational expresion 9x+2)

Q: 2. Provide the exact value solution(s) for 2x² + 13x + 3 = 0

A: The given equation 2x2+13x+3=0 use the quadratic formula:   The quadratic equation is of the form…

Q: The relationship between marketing expenditures (x) and sales (y) is given by the following formula,…

A: Given,           y=7x-0.25x2+6

Q: Solve the equation for exact solutions over the interval [0, 2n). cscx - 4 csc x 0 . %3D 3m 3t n 5m…

A: The given equation is csc5x-4cscx=0

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

A: We have x2-2x+a=0⇒x2-2x+a∈[0, 1) Given that equation has no solution ⇒x2-2x+a∉[0, 1)

Q: Find the solution set of each rational iñeq x+3 x-4 1 3. +1>0 4. x-8 2 1/2

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

Q: y" - y = x²ex + 5

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Q: Solve the following rational equation. If the equation has no solution, so state. 2. x+8 X-7

A: Given: 5x+8=2x−7 First simplify this by cross multiplying and then solve for the x

Q: A root of equation ax2 + bx + c = 0 (where a, b and c are rational numbers) is 5 + 3v3. What is the…

A: The given root of ax2+bx+c=0 is 5+33Tio find the value of a2+b2+c2a+b+c

Q: 1. Find the solution of the following rational equations and inequalities. x2 – 4 - 1. х — 2 x + 4 -…

A: Topic:- simplification  Note:- as per our guideline if more than one question uploaded than only one…

Q: Solve for X and label Solutions. x-1+5=x-4 extrancaus any

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Q: 2x (융) 1 y: x'; yel, X-1

A: Consider the given equation as x+6ydx-2xdy=0

Q: Solve for T. -16t^2 +64t-h=0

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Q: 10. Solve for x and y: 3x - 5y = 13 -2х - Зу %3D 4

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Q: Use any method to find the solution to: X-y=-3 -2x + 2y 6

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Q: 5. y=x² + 4x+5

A: Given the query is to find absolute maxima and minima.

Q: We reject any proposed solution of a rational equation that causes a denominator to equal__________.

A: Rational Function: We reject any proposed solution of a rational equation that causes a denominator…

Q: (4) Find β such that the equation βx2+ x + β = 0 has a repeated real solution.

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