Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 36092: apply the quadratic formula to find the roots of the given function, and then graph the function.
f(x) = x^2 + 4
Click here to see answer by venugopalramana(3286)

Question 36093: factor the quadratic expression completely, and find the roots of the expression.
135x^2 - 222x + 91
Click here to see answer by venugopalramana(3286)

Question 36454: Step by step
Original- ax^2 + bx + c =0
1. subtract c from each side
2. Divide each side by a
3. Add he square of half the coefficient of x to each side
4.write the left side as a perfect square
5.use a common denominator to express the right side as a single fraction
6. find the square root of eac side
7. solve for x by subtracting the same term form each side
8. use a common denominator to express the right side as a single fraction
once all the steps are done you should end up with the quadratice formula but i cant get past step three and i need each step. PLEASE HELp
Click here to see answer by atif.muhammad(135)

Question 36453: Step by step
Original- ax^2 + bx + c =0
1. subtract c from each side
2. Divide each side by a
3. Add he square of half the coefficient of x to each side
4.write the left side as a perfect square
5.use a common denominator to express the right side as a single fraction
6. find the square root of eac side
7. solve for x by subtracting the same term form each side
8. use a common denominator to express the right side as a single fraction
once all the steps are done you should end up with the quadratice formula but i cant get past step three and i need each step. PLEASE HELp
Click here to see answer by venugopalramana(3286)

Question 36521: Amanda has 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.
Click here to see answer by Paul(988)

Question 36575: When using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. (When the discriminate is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. )
Explain what the value of the discriminant means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminant. Then, graph the corresponding equation.
Click here to see answer by venugopalramana(3286)

Question 36483: Use the quadratic formula to solve a quadratic equation ax^2 + bx + c = 0, the discriminant is b^2-4ac. This discriminant can be positive, zero, or negative. Explain what the value of the disciminant means to the graph of y= ax^2 + bx + c. Use these values of a=2, b=4,and c=5. Then, graph the corresponding equation.
How do I know what the discriminant is? If I use the quadratic equation, does this show how to graph the equation? I think the vertex is -1,4 but how do I know how to graph the rest of the parabola?
I really need some help with this one. Thanks
Click here to see answer by venugopalramana(3286)

Question 36586: Determine the LCD of the following terms:
54x^5 y^7 z^3, 72x^3 y^5 z^2, 32x^4 y^3 z^9
Click here to see answer by checkley71(8403)

Question 36378: instruction: find exact & approximate solutions to the problem.
106. One on One. Find two positive real numbers that differ by 1 and have a product of 1.
Click here to see answer by venugopalramana(3286)

Question 36095: use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
2x^2 + x - 1 = 0
Click here to see answer by venugopalramana(3286)

Question 35931: Please help, We included the table of numbers that we have chosen. Any help, especially with graphing the answer would be highly appreciated. Thank you.

When using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminate is b2 - 4ac. This discriminate can be positive, zero, or negative. (When the discriminate is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. )
� Explain what the value of the discriminate means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminate. Then, graph the corresponding equation.
DISCRIMINATE: b^2-4ac
A B C Discriminate
b^2-4ac
2 6 4 4
9 6 3 144
1 5 3 13
4 10 7 -12 {-3.4}
Click here to see answer by venugopalramana(3286)

Question 36691: Please Help!!!!!!!!!!! I really can't figure these out and I need someone really smart.....
Janice tosses a softball upward with an intinal veolicty of 100 feet per second. Use the formula h=vt-16t^2 to answer each question.
A. When the ball hits a height of 84 feet?
B When will the ball hit the ground.
A box is to be formed from a rectangular piece of sheet metal by cutting squares measuring 5in on a side and then folding the sides. The piece of sheet metal is twice as long as its width. If the volume of the box is to be 1760in^3, what are the dimensions of the origional piece of metal.
Click here to see answer by venugopalramana(3286)

Question 36783: SOS! I don't know hoe to solve this one:( Please help me out! Thanks.
Apply the quadratic formula to find the roots of the given function, and then graph the function.
1. (6 points) f(x) = 3x^2 + 18x + 22
Click here to see answer by stanbon(75887)

Question 36784: Hi...there was no way i could figure this one out.
Apply the quadratic formula to find the roots of the given function, and then graph the function.
g(x) = -2x^2 + 8x - 3
Click here to see answer by stanbon(75887)

Question 36719: how many real solutions does a quadratic equation have when the discriminant is negative,positive,and zero?
Click here to see answer by venugopalramana(3286)

Question 36881: Amy walks 1 mph faster than her friend Lisa. In a walk for charity, both walked the full distance of 24 miles. Lisa took 2 hours longer than Amy. What was Lisa's average speed
Click here to see answer by stanbon(75887)

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(75887)

Question 36976: 5x^4-12x^3=0
these exponents are blowing my mind.
Click here to see answer by josmiceli(19441)

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(6550)

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(19441)

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(6550)

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(6550)

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(75887)

Question 36972: I AM HAVING A HARD TIME FACTORING THESE QUESTION
12x2yz3-15xyz2
Click here to see answer by fractalier(6550)

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(75887)

Question 37474: Determine the domain and range of each relation.
y = -2x + 1
Click here to see answer by fractalier(6550)

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(6550)

Question 37475: Graph each quadratic function and state its domain and range.
h(x) = -3x^2
Click here to see answer by josmiceli(19441)

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(6550)

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)

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