Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 35342: I need some help on quadratic equations!! I'm not sure why a person doesn't bring the x2 or x down into the 2nd step of the equation!! If you can give me any advice on how to solve a quadratic equation please answer it please!

Click here to see answer by stanbon(57347)

Question 36976: 5x^4-12x^3=0
these exponents are blowing my mind.
Click here to see answer by josmiceli(9678)

Question 36975: 4/(x-4)^2=1
i having alot of trouble with this one. I think i need to get the numerator over to the other side.
Click here to see answer by checkley71(8403)

Question 36997: Solve using the quadratic equation:
x^2 - 3x - 23 = 5
3x^2 - 2x = 15x - 10
Click here to see answer by checkley71(8403)

Question 37033: (((14x2 – 20x +6))) I need to factor this polynomial completely and I am completely lost.
Click here to see answer by checkley71(8403)

Question 37033: (((14x2 – 20x +6))) I need to factor this polynomial completely and I am completely lost.
Click here to see answer by jcmtnez(53)

Question 37139: solve each quadratic equation written in vertex form.
2(x+3)^2-4=0
Click here to see answer by bigtimehustler16(1)

Question 37125: Please help
solve each equation. Round your answers to the nearest hundreth, if necessary.
1. 4/3(x squared +12)-25=11
Click here to see answer by weepingwillowcats(10)

Question 37147: NEED HELP SOLVING THIS QUADRATIC EQUATION
4x^2 + 8x =0
Click here to see answer by fractalier(2101)

Question 36094: complete the square, and find the roots of the quadratic equation.
x^2 - 2/3x = 0
Click here to see answer by jcmtnez(53)

Question 37144: I have two problems i need help with. I need to solve these by using the quadratic equation.
1: 3x^2 - 2x = 15x - 0
2: x^2 - 3x - 23 = 5

Any help would be greatly appreciated
Click here to see answer by checkley71(8403)

Question 37173: I have 2 problems i need help with,and if you could break it down so i can understand how to solve these.
1:Solve by factoring,
x^2 - 9x = -20
2: Solve by completing the square,
x^2 + 8x + 13 = 0

Thank you
Click here to see answer by checkley71(8403)

Question 37169: Factor. Check by using FOIL or the distributive property.
m^3 + 6m^2 + 9m
and then a question not from the book, b^2-6b-10, factor this one also please.
Click here to see answer by josmiceli(9678)

Question 37166: Please help
Solve each equation. Round your answers to the nearest hundreth, if necessary.
1. 8(x-7)^2 = 200
2. 4/3(x^2 +12)- 25 = 11
Thank you very much for your willingness to help me.
Click here to see answer by fractalier(2101)

Question 37191: Hi all,
I need some help with school study work. I need to solve this quadratic equation by using the square root property?
1: 4x^2 - 48= 0
2: I need to solve this quadratic equation by completing square?
x^2 + 24 = -10x

Anyone, please help me
Click here to see answer by fractalier(2101)

Question 37186: Hi, i need help with 2 problems for school study. I cant seem to work them out. If possible please break it down so i can understand how to solve these. I am more a visiual learning, i cant just have the answer, i need to see how to solve it all. Thanks if anyone can help me.
Rubit, Rubit
1. Solve by quadratic formula
3x^2 - 2x -2 = 0
2. 2y^2 - y = 6
Click here to see answer by ilana(307)

Question 37220: Need to solve this by using square root property:
4x^2 -48 = 0
Please help and show me how you get the answer
Click here to see answer by jcmtnez(53)

Question 37251: (4x+2)^2=9
Click here to see answer by checkley71(8403)

Question 37256: The number of miles,M,that a car can travel on a gallon of gas depends on the average speed,v,of the car in miles per hour. A travel researcher has compiled the following data for his car.
v 44 50 53 56 60 70
M 35.9 37.5 38.0 38.3 38.4 37.1
a. Find a quadratic model for M in terms of v.
b. Use your model to predit M when v = 65
Thank you very much for the help.
Click here to see answer by stanbon(57347)

Question 36972: I AM HAVING A HARD TIME FACTORING THESE QUESTION
12x2yz3-15xyz2
Click here to see answer by fractalier(2101)

Question 37470: Find the vertex and intercepts for each parabola. Sketch the graph.
g(x) = x^2 + x - 6
Click here to see answer by Paul(988)

Question 37471: Find all real and imaginary solutions to each equation.
b^4 + 13b^2 + 36 = 0
Click here to see answer by venugopalramana(3286)

Question 37476: Find all real or imaginary solutions to each equation.
x^-2 - 9x^-1 + 18 = 0
Click here to see answer by stanbon(57347)

Question 37474: Determine the domain and range of each relation.
y = -2x + 1
Click here to see answer by fractalier(2101)

Question 37469: Time to swing. The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2 = pie^2L. If a chld is on a swing with a 10 foot chain, then how long does it take to complete one cycle of the swing?
Click here to see answer by fractalier(2101)

Question 37475: Graph each quadratic function and state its domain and range.
h(x) = -3x^2
Click here to see answer by josmiceli(9678)

Question 37472: Solve each rational inequality. State and graph the solution set.
x + 3/x equal to or less than -2
Click here to see answer by fractalier(2101)

Question 37506: i need help with my math bigg time! ok i believe that it is called lesson 10-5 factoring to solve quadratic equations. i need very detailed instructions on how to do this thank you.
Prentice Hall Mathmatica Algebre One. Chapter 10 lesson 5
Amanda
Click here to see answer by lyra(94)

Question 37617: 3) Suppose you throw a baseball straight up at a velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
• 16 represents ½g, the gravitational pull due to gravity (measured in feet per second 2).
• v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
• s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.
a) What is the function that describes this problem?
Answer:

b) The ball will be how high above the ground after 1 second?
Answer:
Show work in this space.

c) How long will it take to hit the ground?
Answer:
Show work in this space.

d) What is the maximum height of the ball?
Answer:
Show work in this space.
Click here to see answer by venugopalramana(3286)

Question 37614: 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her 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.
Answer:
Click here to see answer by venugopalramana(3286)

Question 37613: I am to solve this problem finding all real or imaginary solutions. I believe I solved it, but I question whether it is correct.
The question is: 6x=19x+25/x+1
My work:
6x(x+1)=6x^2+6x
Then I put it into the equation form of -6x^2-25x+25=0
I used the b^2-4(a)(c) formula which =625-4(-6)(25)
The whole thing turned out to be 625-600=25
Because the outcome is positive, does it not have to have two solutions? I am unsure what the second one is?
Thank you
Click here to see answer by venugopalramana(3286)

Question 37622: i go to a self directed non traditional high school and im having a hard time trying to figure out how to graph a quadratic equasion
Click here to see answer by jessicaherndon(6)

Question 37620: Please help me with these three problems.
Solve each equation by using the quadratic formula. Give exact and approximate answers to the nearest tenth.
1. 5x^-9x=3=0
2. x^=54-3x
Find the equation of the axis of symmetry, the coordinates of the vertex, and the coordinates of the x-intercepts, if they exist, for each parabola.
3. f(x) = 2x6-3x-14
Thank you very much
Click here to see answer by jessicaherndon(6)

Question 37633: I have tried this problem a number of times and i never get the right combination let alone the right numbers. The answers available are: a) -8.2,0.2 b)8.2,-0.2 c)0.3,7.7 d)-7.7,-0.3. The only numbers I get are 0.2, 0.3, and 0.4, which is not one of the numbers. Please help!
Click here to see answer by Nate(3500)

Question 37646: Please help me with this one.
Find the equation of the axis of symmetry, the coordinates of the vertex, and the coordinates of the x-intercepts, if they exist, for each parabola.
1. f(x)=2x^-3x-14
Thanks very much in advance
Click here to see answer by stanbon(57347)

Question 37687: I need your help. Can someone please graph this for me?
Find the vertex and intercepts for each parabola. Sketch the graph.
g(x) = x^2 + x - 6

By completing the square:

Vertex = (-0.5,-6.25). y-intercept = -6
Click here to see answer by Alwayscheerful(414)

Question 37681: Graph each function and state the domain and range.
y = 0.3x
Click here to see answer by Alwayscheerful(414)

Question 37606: I am having a problem with solving for real or imaginary solutions. I need clear and direct steps so I can understand this problem.
x-1/x+2=2x-3/x+4
What I have so far(not so sure it is right),is:
LCD=(x+2)(x+4)
I performed FOIL and got x^2+6x+8
Then I tried to multiply it to each numerator, but got a number with x^3 and so on, which does not seem to work with this type of problem.
Thank you!

Click here to see answer by junior403(76)

Question 37754: Can someone please help me with this? Thank you in advance.
1. True or False:
a.A quadratic equation always has two real roots _True_______?
b.The missing term to complete the square for x^2 + 4x is 16 __True__?
c.The LCD for the expressions 5/6x^2y and 3/4xy^3 is 12x^2y^3 _____ ?

Click here to see answer by stanbon(57347)

Question 37770: Without solving the quadratic equation 5x^2 + 8x + 6 = 0, state whether or not this quadratic equation has real roots. Justify your answer.
Click here to see answer by stanbon(57347)

Question 37758: 2. simplify the following expression by rationalizing the denominator:

5square root of 2 over(/) 4 square root of 3 - the square root of 5
Click here to see answer by junior403(76)

Question 37872: I need help with a homework problem i am having problems with.
The hypotenuse of a right triangle is 2.8 units long. The longer leg is 1.3 units longer than the shorter leg. Find the lengths of the sides of the triangle?
Click here to see answer by fractalier(2101)

Question 37871: I have a problem i need help with, if anyone can help me here. Thanks
The height h (in feet) of an object that is dropped from the height of s feet is given by the formula h = s - 16t^2 ,where t is the time the object has been falling. A 5 foot tall woman on a sidewalk looks directly overhead and sees a window washer drop a bottle from the 4 story. How long does she have to get out of the way? Round to the nearest tenth.(A story is 12 feet.)

Thanks for any help that anyone can give me here. I beleive the answer is 1.3 seconds but i think i am wrong?
Click here to see answer by fractalier(2101)

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