Consider the equation: x² + 5x = –4 A) First, use the "completing the square" process to write this equation in the form (x + D)² = E or (x - D) = E. Enter the values of D and E as reduced fractions or integers. x2 + 5x = - 4 is equivalent to: %3D B) Solve your equation and enter your solutions below. Separate multiple solutions with a comma.

Q: Solve for the equation, show all your work: |3x - 9| = 12

A:

Q: Flo is recarpeting her bedroom and adjoining hallway. The rectangular hallway has an area of 10…

A: Area of Rectangle = 10 sq.feet = l*w=10 given , l=w+3 (w+3)*w =10 w2+3w-10 =0 on solving w=2. now…

Q: Using graphical method, plot y = 4*, and hence, solve the equation, 4* = 80.

A:

Q: Solve by the elimination method. 9x- y= 20 x+2y = 17 %3D

A:

Q: Solve the following equation using the square root property. 3x2 - 8 = -200 Solve the equation…

A: Part a,Given,           3x2-8=-200

Q: Solve using method of undetermined coefficients: y" + 3y = -48x2e3x

A: The solution is given as

Q: Find V (YX = ).

A:

Q: 32x =6x-2 can you help me solve this equation?

A:

Q: Solve the problem. On a sunny day, a flag pole and its shadow form the sides of a right triangle. If…

A: Hope this is useful

Q: Sarah wants to have a garden with three square-shaped portions, each with the same area. The total…

A: Let's find.

Q: 5. y = xArctanx - In V1+x²

A:

Q: When solving Sx² + y? = 13 l² - y = 7 by the addition method, we can eliminate x² by multiplying the…

A: In addition method of algebraic equation , we eliminate one variable which has same coefficient and…

Q: What is the first step you take when solving the equation 3-7 (y-4) = 38? Why is this your first…

A: Given equation: 3-7y-4=38

Q: Jerry has a jar with 273 marbles in it. The jar can hold 1000 marbles in all. Which equation could…

A: It can be solved using linear expressions

Q: |3D Which equation has the same solution as x – 20x + 20 = -9?

A:

Q: Solve the equation

A: 7-5x=8=>7-5x2=82

Q: Solve the equation 24x 25-x 8*-3 (ii) lg(2y+ 10) + lgy = 2. 4* (i) %3D

A: Properties of the indices and surds  (ax)y=axy axay=ax-y If ax=ay⇒x=y log a+log b=log (ab)

Q: Solve the quadratic equation by completing the square. -18x+71=0 First, choose the appropriate form…

A: Here we can provide the answer in the following steps.

Q: (g) y+1 = Yk + 6. %3D

A: The 1st order differential equation is            yk+12=yk+6

Q: Solve the equation .11 y" + 3y' + 2y = x2

A:

Q: 5y-6yk+2 6y-8yk+3) (e) Yk+1

A: As you can see in the figure attached there is only one fixed point and when k goes to infinity the…

Q: Solve the equation while using the four square method

A: We have to solve equation using four square method

Q: Solve by the elimination method 5x-y=13 X+2y=18

A:

Q: What are the solutions of the equation (x – 25) = 36? %3D

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

Q: Solve the equation. 2h3-11 = 43 %3D h = %3D

A:

Q: 4. Try to solve the quadratic equation using the square root method x + 49 = 0 b) What did you…

A:

Q: 5. Solve the equation (Dª + 9D³ + 5D² – 93D – 90)y = 0 -

A:

Q: HiW.2 DE solve Q5 y= ソ-4y2 -→ y -メ

A: Explanation of the answer is as follows

Q: Solve the equation |5 – 3x|= 10. %3D

A:

Q: Solve the equation 9+ lo9(8x)%3D27-2109 (x)

A:

Q: The solution is: x1 = x2 -9 A=[53], ²= [2] 2 and b = —

A:

Q: 1 Solve the equation 3x(x2 + 6) = 8 – 17x². -

A: The given equation is: 3x(x2+6)=8-17x2

Q: Bu R(w)

A: Note: Here we are solving problem a) for problem b) please submit the que again. Given: Rw=4-3ww+2…

Q: Solve the equation.

A: 1x+6=5x

Q: 13. 9n2 16

A: As we know that the algebraic identity: a2-b2=a+ba-b Given: 9n2-16

Q: Solve the equation y3/2 = 10y

A:

Q: 1 Solve the equation -2(3x + 8) = 32 %3D

A: We have to solve the equation -2(3x+8)=32 for x .

Q: x² – 8x – 2 = 0 - %3D -

A:

Q: Solve the DE with general solution   6m''-7m'+20m=0

A: We need to solve the DE with general solution 6m''-7m'+20m=0

Q: Solve the equation + 6y = 0. %3D

A: A differential equation is an equation in x,y and derivatives of y. A linear differential equation…

Q: 10. Solve the equation (D² - 3D + 2)y = 16.

A: Solution

Q: 3p = 15 %3D Explain why the solution to this equation is p = 5

A: 3p=15

Q: Which of the following solves the equation y/54 + 2 = 0?

A: We can solve it using the properties of algebra as below

Q: How would you solve the equation x2 - 4x = 252? Explain your choice of the method that you would…

A: Definition used-                Quadratic equations- There are many methods for solving quadratic…

Q: Solve; a. If y = kx2, find the value of k using x = 2 and y = 64. b. Substitute the value for k into…

A: To determine: a) If y=kx2, find the value of k using x=2 and y=64 b). Substitute the value for k…

Q: Solve : 10a* + ³ – 87x2 = 71a - 42

A: Given equation is : 10x4+x3-87x2=71x-42 To find the value of x.

Q: Solve by completing the square. x2 - 24x + 25 = 0 Write your answers as integers, proper or improper…

A:

Q: -5x+y3-3 3x -8y 24

A: We have to solve the given equations

Q: When the equation -5.35a? – 2.92x + 2.95 = 0 |3D is solved, the two values of the unknown x are and

A: Given equation :-   -5. 35x2 - 2.92x + 2.95 = 0 (x + 1.06402) (x-0.518225) =0

Q: Solve by completing the square. d2 + 28d – 27 = 0 Write your answers as integers, proper or improper…

A: Solve the equation

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.