Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 40974: Find the roots of the quadratic equations by the method of completing the square. Express the roots, if they are not rational, in simplest radical form.

x2 + 22x + 112 = 0
(x - 4 )(x -28 )
check
x^2 +28x -4x +112
x^2+22x+112
thus, (x - 4 )(x -28 )

Click here to see answer by psbhowmick(529)

Question 41023: what are the equation of the axis of syemmetry and tyhe coordinates of the vertex of the graph of y = 2x2 - 12x + 6 can i get the awnser in like 10 minutes

Click here to see answer by Nate(3500)

Question 41064: solve, using qudratic formula
x(3x+7)-3x=0
Click here to see answer by stanbon(57410)

Question 41062: solve
5x +x(x-7)=0
i try it, but i couldn't get the answer :(( can anyone help
Click here to see answer by stanbon(57410)

Question 41070: I have to find all the values of b in the following equation that will give one or more real number solutions. Can you please help me with this?
3x^2 + bx - 3 = 0
Thanks!
Click here to see answer by stanbon(57410)

Question 41073: Please help with this, I don't understand!
25x^2 = 13
Solve for x.
Thanks
Click here to see answer by rajagopalan(158)

Question 41105: Write a quadritic equation such that the sum of the roots is 6 and the product of the roots is -11.
Click here to see answer by psbhowmick(529)

Question 41108: Find the roots of the quadratic equations by the method of completing the square. Express the roots, if they are not rational, in simplest radical form.

Click here to see answer by stanbon(57410)

Question 41109: Find the roots of the quadratic equations using the quadratic formula. Express the roots, if they are not rational, in simplest radicl form.

4x^2 - 12x - 7 = 0
Click here to see answer by fractalier(2101)

Question 41103: Given the quadratic equation: x^2 - 5x + 1 = 0.
A. What is the sum of the roots?

B. What is the product of the roots?
Click here to see answer by fractalier(2101)

Question 41102: Find for each trinomial the value of k which makes the trinomial a perfact square.

x^2 - 6x + k
Click here to see answer by fractalier(2101)

Question 41123: How do you find the vertex when you have a word problem?
The word problem: A company sells 80 team jackets a week for $30 each. The product manager estimates that for each $3 increase in price, the company will sell 5 fewer jackets per week. What price should be charged per jacket to maximize the profit?
Click here to see answer by josmiceli(9697)

Question 41230: Need some help please
2x^2+10x+11=0
You can try the quadratic formula:
Keeping in mind that the standard form is , you could solve it by evaluating the quadratic formula.

a, the number in front of x squared, is 2.
b, the number in front of x, is 10.
c, the constant, is 11.

Now evaluate:

Simplify:

= or
Click here to see answer by fractalier(2101)

Question 41229: x^2+4x+4=7
How do I solve this?
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Question 41234: Please help with this.
Decide all values of b that will give one or more real number solutions.
5x^2 + bx + 1 = 0
Thank You!
Click here to see answer by fractalier(2101)

Question 41219: Please help me find all values of b that will give one or more real number solutions. I don't understand how to do this.
5x^2 + bx + 1 = 0
Click here to see answer by fractalier(2101)

Question 41233: Addition seems simple enough to me, but the minus/negative numbers confuse me on factoring.
x2 - 6x - 3 = 0
Click here to see answer by fractalier(2101)

Question 41253: Can you please explain to me how you create an equation (function) from looking at a parabola? I can make a parabola from an equation. But not the other way around. I need very easy and explained steps!
Thanks for your time and effort.
-C.
Click here to see answer by psbhowmick(529)

Question 41288: An obvject is thrown upward into the air with an initial velocity of 128 feet per second. The formula h(t)=128t-16t squared gives its hight above the ground after t seconds. What is the height after 2 seconds. What is the maximum hight reached. For how many seconds will the object be in the air. After how many seconds will it reach the maximum hight. After how many seconds will it hit the ground. I could use some help. I would greatly apreciate it.
Click here to see answer by psbhowmick(529)

Question 41299: Help
What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation.
Click here to see answer by psbhowmick(529)

Question 41289: A ball is thrown vertically with an initial velocity of 48ft per second. Its height above the ground after t seconds is given by h(t)=48t-16t squared. What is the maximum height in feet reaced by the ball. What is the height after 1 second, 2 seconds. How much time does it take for it to reach its maximum height. How much time does it take for it to hit the ground.
Click here to see answer by psbhowmick(529)

Question 41154: 2x+(k-1)y=6
3x+(2k+1)y=9
Click here to see answer by vidhyak(94)

Question 41298: Help Find
A real life situation that an be represented by loarithmic function, translate the situation to the function, and solve and represent it graphically. Any rela life situation would be okay.
Click here to see answer by Nate(3500)

Question 41351: such bitch, fuck u, i hate teachers, A TEACHER KILLED MY BROTHER A YEAR AGO ILL KILL YOU TOO, ill be arriving at your hime in approximatly 6 days (transit and all) seeya then
Click here to see answer by mszlmb(115)

Question 41402: I have a hard time figuring word problems, can someone please help?
A garden area is 30 feet long and 20 feet wide. A path of uniform width is set around the edge. If the remaining garden area is 400 feet squared, what is the width of the path?
Click here to see answer by Paul(988)

Question 41403: Find two consecutive positive integers such that the sum of their squares is 85. Can anyone tell me if I'm right?
I am coming up with 6 and 7 - is this correct?
Thanks!
Click here to see answer by rajagopalan(158)

Question 41374: Please help me
For the function f(x)=x^2-2x+1
(a) find f(0)
(b) solve f(x)=0
Click here to see answer by venugopalramana(3286)

Question 41438: I am trying to understand the concept of "completing the square" in a quadratic equation. The original equation is
I put it into general form
Set up problem as
For some reason, the answer I got wasn't the correct answer. Am I doing something wrong in the formula steps shown above?
Click here to see answer by venugopalramana(3286)

Question 41466: Solve by using the quadratic formula: 3x^2=11x+4
Click here to see answer by Nate(3500)

Question 41413: 5x-7 for x=0,1,2,3
Click here to see answer by zeynep(43)

Question 41701: 1) Using the quadratic equation x2 - 4x - 5 = 0, perform the following tasks:
a) Solve by factoring.
b) Solve by completing the square.

c) Solve by using the quadratic formula.

Thank you for the help in advance.
textbook info.
ISBN 0-321-27908-5
TITLE
COLLEGE ALGEBRA BY GARY ROCKSWOLD
3RD EDITION
Click here to see answer by psbhowmick(529)

Question 41704: 4) John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation.

Thank you for the help in advance.
textbook info.
ISBN 0-321-27908-5
TITLE
COLLEGE ALGEBRA BY GARY ROCKSWOLD
3RD EDITION
Click here to see answer by psbhowmick(529)

Question 41894: Find the value of c that makes x^2+5x+c a perfect square trinomial.
Thanks for the help
Click here to see answer by psbhowmick(529)

Question 41896: Identify the vertex, axis of symmetry, and direction of opening for:
y=1/2(x-8)^2+2.
Thank you
Click here to see answer by psbhowmick(529)

Question 41899: find "h" where 3x^2 - hx +9 =0 and the sum of the solution is -4 and the product is 3
Click here to see answer by psbhowmick(529)

Question 41898: Please, Please help me
2) For the function y = x2 - 4x - 5, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space

b) What is the line of symmetry?
Answer:

c) Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x – h)2 + k.
Show graph here.

Explanation of graphing.

d) In your own words, describe how this graph compares to the graph of y = x2?
Answer:

Click here to see answer by AnlytcPhil(1278)

Question 41895: Use the value of discriminant to determine the number and type of roots for the equation 2x^2-7x+9=0.
Thank you
Click here to see answer by psbhowmick(529)

Question 41910: x^2+6x-4=0
Click here to see answer by AnlytcPhil(1278)

Question 41897: Write an equation for the parabola whose vertex is at (-8,4) and passes through (-6,2).
Click here to see answer by venugopalramana(3286)

Question 41813: WHO DO I FACTOR EXPRESSION? EXAMPLE: X2+4X+3.
Click here to see answer by fractalier(2101)

Question 41944: 5x^2+x-2=0
Solve using the Quadratic Formula
Click here to see answer by psbhowmick(529)

Question 42090: Does the quadratic function y = -12(x+2)^2-7 have it's vertex at (-2,7) and open down? If not,write a function that meets the criteria.
Click here to see answer by venugopalramana(3286)

Question 42089: Write an equation for the parabola whose vertex is at (-8,4) and passes through (-6,-2).
Thanks
Click here to see answer by venugopalramana(3286)

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