Find all real solutions of the following. Check your results. (x^(3)-16x)/(x^(2)+3)=0 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. (Write exact answers, using radicals as needed.) a) The solution(s) is/are ____ and there are no extraneous solutions. b) The solution(s) is/are ____ and the extraneous solution(s) is/are ____. c) There are no real solutions, but an extraneous solution of ____. d) There are no real solutions and no extraneous solutions.

Q: Solve: 1/(x + 2) = 4/(x2 - 4) - 1/(x - 2) .

A: 1. Take LCM in RHS. 2. Do cross multiplication and solve it.

Q: Form a quadratic equation with roots 1/5 and −2 with integer coeffecients.

A: 15 & -2.

Q: How do I complete the square on thsi following polynomial: x2-6x+12-y=0 To end up with:…

A: x2-6x+12-y=0 cannot be expressed as (x-3)2+4-y=0 because (x-3)2+4-y=0 when expanded will give…

Q: Solve:(1/x + 2) =[(4/x2 - 4 )- (1/x - 2)]

A: We need to take LCM and then to solve the equation.

Q: 5. Give an example of an equation that has INFINITELY MANY SOLUTIONS with 2x-y = 2. Explain.

A:

Q: solve 2x^4=x

A: We need to solve 2x4=x. So,                2x4=x⇒2x4-x=0⇒x2x3-1=0⇒x213x3-1=0⇒x213x3-13=0Use…

Q: ctions: Find the roots of each quadratic equation using any method. n) Roots . x² -16 = 0 . 2x? - 98…

A: As per Bartleby gauidline we solve first 3 parts.

Q: Find 2 solutions to -x > 10

A:

Q: My neighbor and I like to kick a soccer ball back and forth to each other over the fence. If we each…

A: Consider the given scenario. Given that the neighbour's location in the picture is given by the…

Q: Solve for x. 17) 24x +3 26 -3

A: Verticle opposite angles are same

Q: Show use of variable substitution to factor and solve over (0,2pi) when necessary.  1. x4 - 3x2 -…

A:

Q: Find the exact solution for 2x-3  = 62x-1. If there is no solution, write no solution.

A:

Q: Algebraically, solve for x: 2 4х — 12 x2-6x + 8 x – 4 ||

A:

Q: How can the equation -2x2 + 3x + 4 = -7 be solved and why? Only by using the quadratic formula…

A: We have to solve the equation by quadratic formula

Q: Show that the equation x3 - 15x + 1 = 0 has three solutions in the interval [-4, 4].

A: Using the Fundamental Theorem of Algebra: Any polynomial must have number of roots equal to the…

Q: 00 3 of 14 Solve for x. (13x + 2) (5x -7) (3х - 4)

A: AS PER BARTLEBY EXPERT POLICY ONLY 3rd QUESTION IS TO BE ANSWERED, KINDLY REPOST QUESTION…

Q: 15. Solve for x. 71° (10x + 6)° (13x – 2)° (8x-1)

A: The 4 sided polygon has measures (10x+6), (13x-2), (8x-1) and outer measure 71 degree.

Q: - Solve the quadratic equation using appropriate method. x² - 81 = 0 2. x² +5x +6=0 3. 2x2 4x+3=0

A: Here we have to solve the quadratic equation.

Q: Determine the number of solutions of the equation x₁ + x2 + x3 + x4 + X5 = 15 in positive integers…

A:

Q: Determine the roots of the equation by factoring 3x2 – x – 4 = 0. Verify the roots and be sure to…

A: Factoring the quadratic equation can be defined as the process of breaking the equation into the…

Q: 11. Solve for x. 92° (7x-10)- 162

A: 11. The figure is given by To evaluate : the value of x

Q: 2. In the equation x2 + 40x + n = 0, find n if one root is 3 times larger than the other root.…

A:

Q: 40os (3x)-3=0

A: Given that: 4cos2(3x)-3=0

Q: Form a quadratic with real coefficients having amongst its roots -6+i

A: As given in this question, one root is imaginary then other will also be an imaginary roots.

Q: Solve for standard form  X^2+ 4x+3

A: Given query is to find the standard form quadratic equation.

Q: two numbers when multiplied equal 27 if one number is x and the other number is greater than x by 6…

A:

Q: Solve for x. 646x+3 2 x+35x-2 %3D If there is more than one solution, separate them with commas. No…

A: Solve for x  646x+3 = 2x2+35x-2

Q: 9. Solve for x: -1.2x = -9.6

A: Given-              -1.2x= -9.6

Q: show that the equation 3x+2cosx+5=0 has exaclty one real root.

A: f(x)=3x+ 2 cos x +5

Q: Compute the discriminant of 3x2 - 2x + 5 = 0. What does the discriminant indicate about the number…

A: Given: 3x2-2x+5=0 we know that every quadratic equation has two solutions, if DiscriminantD of…

Q: 15. Solve for x: * 2* +5 = 4x + 2

A:

Q: Find all real solutions of the equation. 3x - 46x* + 157x + 126 - 0 x=-7, x = x =, and x = -9 X--9,…

A:

Q: Show complete solution. Solve for the roots using algebraic method. 16x+ - 1

A: To Solve: The roots of 16x4-1 using algebraic method.

Q: Show complete solution. Solve for the roots using algebraic method. 3x³-11x² + 5x+3

A: Solve: For the roots of 3x3-11x2+5x+3 using algebraic method.

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

A: Here, to determine the roots of the equation: x2+2x=15...(1)

Q: Solve for æ algebraically.

A:

Q: 19. Solve for x: 16x-1 = 64x+1

A: Property of exponent : If ax=ay then x=y. (xa)b=xab

Q: Show complete solution. Solve for the roots using algebraic method. 4x²-5x-2

A: Use Dharacharya method

Q: can you help me solve for X: root (X) - root (X - 12) = 2

A: The give equation

Q: Determine the roots of the equation by factoring 3x2 - x - 4 = 0. Verify the roots and be sure to…

A: Given equation is: 3x2-x-4=0

Q: Determine the real roots of the equation using open methods (Error≈0.001): f(x) = - 24 + 80x - 90x2…

A: According to the fundamental theorem of algebra, every algebraic equation has a root. The derivative…

Q: 2. In the equation x² + 40x +n = 0 , findn if one root is 3 times larger than the other root.…

A:

Q: Find all real solutions to 2x'3 -4x6 – 6=0. 1/3 1/6

A:

Q: Find the approximate root of x^3+5x-2=0 by using bisection method. Typed solution needed otherwise…

A: Given,            x3+5x-2=0

Q: If one root of the equation X²-Ax+b is 3more than the other root. Find b in terms of a

A:

Q: Solve 5*-242x+³ for X.

A: topic- logarithmic equations

Q: 4. Construct an equation whose roots are less than 4 of the roots of x+3x-12x-10=0

A:

Q: Find all real solutions of the equation.

A: Given: The equation is xx+3 =2x-3 -1x2-9 .

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.