Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 917817: 4(3x+2)=12x+8
12x+8=12x +8
-12 -12
8 = 8
-8 -8
I keep doing something wrong but I don't no what it is
Click here to see answer by richwmiller(17219)

Question 918069: While attempting to solve a quadratic equation, I inadvertently interchanged the co-efficient of the x^2 term with the constant term, causing the equation to change. I solved this different equation accurately. One of the roots I got was 2 and the other was a root from the original equation. The sum of the squares of the two roots of the original equation is? Please show working
Click here to see answer by josgarithmetic(39613)

Question 918107: a farmer wishes to fence a 100 m^2 garden which is rectangular in shape he has 30 m of barbed wire and is thus able to fence only 3 sides of the garden find the dimensions
Click here to see answer by josgarithmetic(39613)

Question 918205: if the roots of the equation 12x^2+mx+5 =0 are real and different then m=?
Click here to see answer by Fombitz(32388)

Question 918408: You want to fence in a rectangular plot with an area of exactly 360 square meters.
1. Using diagrams, functions, and graphs, determine the possible dimensions if you can use at most 100 meters of fence.
2. Determine the dimensions of the plot with the shortest perimeter.

Click here to see answer by josgarithmetic(39613)

Question 918457: Dear Sir/Madam.
Can you please help me solve the following multi-part problem? I tried answering some below. Thank you.
Farmer wants to build a corral for his cows, sheeps goats and pis as shown below. He has a total of 400 feet of fencing. Please find the corral dimensions that maximize the area of the corral.
(Diagram: 1 large rectangle, divided into 4 smaller rectangles.
Length of the corral = y feet, and the width of each corral=X feet.)
____________________________
I I I I I
I I I I I Y feet long
I I I I I
I I I I I
____________________________
x feet x feet x feet x feet
1. Find an equation for the total area of all four corrals in terms of X and Y
4 XY feet^2
2. The width = X feet, length = Y feet and there are 400 feet of fencing. Find an expression for the length (Y) of the corral in terms of X.
8X + 5Y = 400
5Y = 400 - 8X
Y = 80 - 8/5X
= -8/5X + 80
3. Use answer from (2) to write an equation for the total are of all THREE corrals in terms of X. Leave answer in factored form!
Area of 3 Corrals = 3XY feet ^2
= 3X (-8/5X + 80)
= -24/5X^2 + 80/3X
Here's where I am lost!
The next 3 parts will lead to solutions for the dimensions necessary to maximize the are of the corrals using three different methods.
Method# 1 - Using X intercept/factored form of the quadratic
a. Use the X-intercept to find the axis of symmetry
b. Find the Y-coordinate of the vetex using the X-value for the axis of the symmetry
c. Sketch the graph using X-intercept/factored form
d. Using equations and graph, determine the dimensions X and Y that will yield the maximum area of the corrals.
e. Describe how to find the maximum are with your equation in x-intercept form (and find it)
Metho# 2 - Using the vertex form of a quadratic
a. Multiply your equation for are into general form and then convert in into vertex form by completing the square.
b. Sketch the graph. You may use the x-intercepts from Method # 1
c. Use your equation and /graph to determine the value of X and y that will yeild the maximum area. Describe how to use your equation to find these values.
d. Describe how to find the maximum area with your equation in vertex form.
Method # 3 - General Form
a. Write the equation for are in terms of x in general form
b. Find the x-coordinate of the vertex using the formula for the axis of symmetry (x = -b/2a)
c. Use your equation/graph to determine the value of x and y that will yield the maximum area. Describe how to use your equation to find these values.
d. Describe how to find the max. area with your equation in general form.
Lastly, select most favourite method of solving and explain why. Compare and contrast the methods . Talk about advantages and disadvantages of each method.
HELP!!!!!! This should not be so difficult. Maybe I am not understanding the question.
THANK YOU!!!!

Click here to see answer by josgarithmetic(39613)

Question 918522: What will be metre turn factor of 2a^2+5a-2
Click here to see answer by Fombitz(32388)

Question 918725: Factor out the coefficient of the variable for problem 3/10x - 3/5 is what
Click here to see answer by ewatrrr(24785)

Question 918864: 3x^2=10x
Click here to see answer by asuar010(338)

Question 918887: A line has a slope of 9 / 4 and a y-intercept of −14.
Which equations represent the line?
Click here to see answer by ewatrrr(24785)

Question 918969: 3x^2-7x+2=0
A) Solve the Equation
B) Verify that the sum of solutions is -b/a
C) Verify the product of solutions is c/a
Click here to see answer by ewatrrr(24785)

Question 918970: P(X)=x^3-3x^2-5x+10
A) Evaluate P(x) for integers -3 through 5
B) Find all of the zeros of P(x)
C) Prove that five is an upper bound on the zeros of P(X)
Click here to see answer by MathLover1(20849)

Question 919097: The height, in meters, of a ball thrown upwards is given by h = 50t - 5t^2, where t is in seconds. Determine how high the ball goes when it reaches its maximum height, and how long the ball is in the air.
Click here to see answer by Alan3354(69443)

Question 919094: The height of a projectile, propelled upward with an initial velocity of 40 m/s, is given by the formula h = -4.9t^2 + 40t, where t is the number of seconds after launch. How long after launch will the object be 10 m above the ground?
Click here to see answer by Alan3354(69443)

Question 919166: The graph of a quadratic function f(x) has a vertex at (−1,−4) and passes the point (0,−3). Find the quadratic function. (Note: It is a parabola)
f(x)=
Click here to see answer by ewatrrr(24785)

Question 919265: Please help me solve:
(x-6)/(x-4)+16/(x^2-16)=0
Click here to see answer by josgarithmetic(39613)

Question 919265: Please help me solve:
(x-6)/(x-4)+16/(x^2-16)=0
Click here to see answer by lwsshak3(11628)

Question 919308: Find the value of k that would make the left side of each equation a perfect square trinomial.
32. x2 + kx + 196 = 0
Click here to see answer by Edwin McCravy(20054)

Question 919397: I have to use the quadratic formula. X^2+6x-5 so far I have: -6+-√56/2 how do I simplify the radical and what would be the answer?
Click here to see answer by ewatrrr(24785)

Question 919504: find the zeroes, or x-intercepts, of the function. f(x)=5x^2-80
Click here to see answer by rfer(16322)

Question 919512: X= √3+√2+√5? Find the quadratic equation of the given roots.
Click here to see answer by Alan3354(69443)

Question 919342: perimeter of a rectangle is 66 units when length and breadth are increased by 7 units each resulting area is 540 units.find the dimensions of original rectangle
Click here to see answer by ankor@dixie-net.com(22740)

Question 919557: ∠A and ∠B are vertical angles. If m∠A=(x+25)∘ and m∠B=(7x+1)∘, then find the value of x.

Click here to see answer by stanbon(75887)

Question 919698: How do I factor just the right side of the following equation?
f(x)=2x^2 +12x+10

Click here to see answer by ewatrrr(24785)

Question 919932: Factorise:
8(x-4)^2-32
Click here to see answer by Edwin McCravy(20054)

Question 919936: Factorise: 8(x-4^2)-32
Click here to see answer by Fombitz(32388)

Question 920405: write
f(x)=x^4+x^3+7x^2+9x-18 as a product of linear factors
Click here to see answer by MathLover1(20849)

Question 919621: 20e4-23e3+6e2
Click here to see answer by sofiyac(983)

Question 920601: 12n^2+6n-20=0
Click here to see answer by stanbon(75887)

Question 920731: calculate f(8)-f(3)
Click here to see answer by jim_thompson5910(35256)

Question 920925: Please help me solve this equation tutors!
An object is launched directly upward at 64m/sec from a platform 80m high. Its path is modeled by the equation where h is the height abobe the ground and t is the time in seconds.

a) When will the object hit the ground?
b) What will be the object's maximum height?
c) When will it attain this height
Thank you!
Click here to see answer by ewatrrr(24785)

Question 920949: Hi guys I need some help with this question, can you please put as many steps as possible on this?
The height 'h' (in metres) above the ground of a baseball depends upon the time 't' (in seconds) it has been in flight. Cameron takes a mighty swing, but hits a bloop single whole height is described approximately by the equation

a) how long is the ball in the air?
b) The ball reaches its maximum height after how many seconds of flight?
c) What is the maximum height?
Thank you!
Click here to see answer by ewatrrr(24785)

Question 920909: what is the answer to 8-7(4x+11)+6x
Click here to see answer by Fombitz(32388)

Question 920997: Solve the quadratic equation (x+5)^2−36=0 by taking square roots. If there is more than one correct answer, enter your answers as a comma separated list. If there are no real solutions, enter NONE.
I have tried everything and nothing. I got 1 but I can't figure out the other ones because the stupid thing told me there were other answers! Please Help.
Click here to see answer by josgarithmetic(39613)

Question 921107: solving quadratic equations by factoring
4usquared-1=0
Click here to see answer by jim_thompson5910(35256)

Question 921116: solving quadratic equations by factoring
y=x squared+6x+8
5wsquared=30w
Click here to see answer by stanbon(75887)

Question 921117: 45 factor and product of factor will be 324
Click here to see answer by Alan3354(69443)

Question 921110: solve quadratic equations by factoring
v^-14y=-49
5w^=30w
y=x^-6x+5
y=x^+6x+8
Click here to see answer by Alan3354(69443)

Question 921105: . How does the relationship between the sum and product of the roots make it easier?
To find the equation when the roots are complex?

Click here to see answer by josgarithmetic(39613)

Question 921154: Find the real solutions of √ x 2 + 144 = x + 6
Click here to see answer by srinivas.g(540)

Question 921157: 4x^2+24x-13 converted into vertex form

Click here to see answer by srinivas.g(540)

Question 920724: y=-(x+3)^2-4

Click here to see answer by srinivas.g(540)

Question 920402: find all solutions and if necessary express them in a+bi form
2x^2+3=2x
Click here to see answer by srinivas.g(540)

Question 918203: The difference between two numbers is 9 and the product of the numbers is 162. Find the two numbers.

Click here to see answer by srinivas.g(540)

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7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 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