Question

1) Solve the given quadratic equation by using Completing the Square procedure and by Quadratic formula...

1) Solve the given quadratic equation by using Completing the Square procedure and by Quadratic formula ( you must do it both ways). Show all steps for each method and put your answer in simplest radical form possible.

4X2 + 4X = 5

                                                                                                

2) Which part of the Quadratic Formula can help you to find the Nature of the roots for the Quadratic Equation. Explain how you can find the nature of the roots and provide one Example for each possible case with solution.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Choose a method (factoring, square root property, completing the square, and thequadratic formula) to solve each...
Choose a method (factoring, square root property, completing the square, and thequadratic formula) to solve each of the following quadratic equations. Each method can be used only ONCE. A) 4x2 – 27 = 0             B) 4x2 – 8x – 5 = 0             C) 4x2 – 8x – 12 = 0             D) 4x2 – 9x – 7 = 0 Please explain the solution method you chose for each equation and why you chose it
1. Identify the vertex of the quadratic equation y=2x2+8x-10. using the formula 2. Write the equation...
1. Identify the vertex of the quadratic equation y=2x2+8x-10. using the formula 2. Write the equation y=2x2+8x-10. in vertex form using the vertex found in #1. 3. Show how you can use completing the square to go from the standard form of the equation in #1 to the vertex form found in #2. 4. Explain the relationship between the solutions to the quadratic equation 0=2x2+8x-10 and the graph of the quadratic equation y=2x2+8x-10. 5. How many solutions are possible when...
Solve the quadratic equation by completing the square X^2 - 8x 20= 0 And 12= 8z-...
Solve the quadratic equation by completing the square X^2 - 8x 20= 0 And 12= 8z- z^2 Thanks
Solve the equation x^2-40x+1=0 using the quadratic formula. Use five-digit decimal arithmetic to find numerical values...
Solve the equation x^2-40x+1=0 using the quadratic formula. Use five-digit decimal arithmetic to find numerical values for the roots of the equation; for example, you will need (399)^(1/2)= 19.975. Identify any loss-of-significance error that you encounter. (b) Find both roots accurately by using only five-digit decimal arithmetic.
Solve the equation by completing the square. (Enter your answers as a comma-separated list.) x2 =...
Solve the equation by completing the square. (Enter your answers as a comma-separated list.) x2 = −4x − 53 Solve the quadratic inequality. (Enter your answer using interval notation. If there is no solution, enter NO SOLUTION.) x2 − 8x > −12 Solve the equation by factoring. (Enter your answers as a comma-separated list.) 125x = 5x3
1. Given the following quadratic function: f(x)=4x2-12x+5 a. Use the method of completing the square to...
1. Given the following quadratic function: f(x)=4x2-12x+5 a. Use the method of completing the square to rewrite the equation of f b. What are the coordinate of the vertex of f c. What are the zeros of f (ker(f)) d. What is the image of f (image(f)) e. Describe the simple transformations that take x2 to f(x)
1`Solve the quadratic equation 5.00t2 − 5.00t − 6.00 = 0 using the quadratic formula, finding...
1`Solve the quadratic equation 5.00t2 − 5.00t − 6.00 = 0 using the quadratic formula, finding both solutions. t = (smaller value) t = (larger value) 2`A monatomic ideal gas expands from 1.95 m3 to 2.55 m3 at a constant pressure of 2.50 ✕ 105 Pa. Find the following. (a) Find the work done on the gas. J (b) Find the thermal energy Q transferred into the gas by heat. J (c) Find the change in the internal energy of...
Given Q = 300 – 5P and TC = 100 + 10Q for an oligopolistic firm,...
Given Q = 300 – 5P and TC = 100 + 10Q for an oligopolistic firm, determine mathematically the price and output at which the firm maximizes its: A. Total profits and calculate those profits B. Total revenues and calculate the profits are that price and quantity C. Total revenue in the presence of a $2980 profit constraint TO HELP SOLVE: Part (a) is the standard MR = MC procedure. For part (b) you are looking for the turning point...
Prove that for a square n ×n matrix A, Ax = b (1) has one and...
Prove that for a square n ×n matrix A, Ax = b (1) has one and only one solution if and only if A is invertible; i.e., that there exists a matrix n ×n matrix B such that AB = I = B A. NOTE 01: The statement or theorem is of the form P iff Q, where P is the statement “Equation (1) has a unique solution” and Q is the statement “The matrix A is invertible”. This means...
Question 9 (1 point) An airplane starts from rest (vo = 0) and accelerates down a...
Question 9 (1 point) An airplane starts from rest (vo = 0) and accelerates down a runway at 2 m/s2 for 23 s until it takes off. Determine the distance traveled before takeoff. Your Answer: Question 9 options: Answer Question 10 (1 point) An airplane starts from rest (vo = 0) and accelerates down a runway at 4 m/s2 and covers 245 m before it takes off. Determine the time it takes. Your Answer: Question 10 options: Answer Question 11...