Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 435824: Completing the square for the following:
4x^2+4x=3
Click here to see answer by ewatrrr(10682)

Question 435903: find the roots of the equation x^2-3x+2=0 by using the quadratic equation
Click here to see answer by nerdybill(6962)

Question 435900: solve the equation n^2+6n+4=0 by compleating the square
Click here to see answer by nerdybill(6962)

Question 435725: what is x +9x+14
Click here to see answer by richard1234(5390)

Question 435964: I am supposed to come up with a quadratic equation and then solve it related to my field of interest. I am interested in the medical field but do not believe there is a quadratic function related to that field, so I was thinking of a quadratic equation about building a garden. I don't know how to create the equation. What the question should be and how to put it into a formula to then solve. I dont know how to create a story problem that uses a quadratic equation and then apply it? What kind of problem can I apply the quadratic principle to? I hope this is making sense. Can you help me come up with a story problem question that I can solve with a quadratic equation that pertains to gardening or the medical field?
Click here to see answer by stanbon(57387)

Question 436003: The hypotenuse of an isosceles right triangle is 3 cm longer than either of its legs. Find the exact length of each side
Click here to see answer by jorel1380(2518)

Question 436173: Use a graph to estimate the solutions of the equation. Check the solution algebraically.
x^2+12x+20=0
Click here to see answer by mananth(12270)

Question 436247: Can somebody help me with these series of questions?
Thank you so much. I appreciate it a lot.
Alexa
28. a. Write an expression for the total area of the model below.
http://i1202.photobucket.com/albums/bb364/Small-Beatle/sa029-1.jpg
b. The total area is 110 m2. Write an equation to find x.
c. Solve the equation by completing the square. (4 points)
Click here to see answer by jorel1380(2518)

Question 436302: Hi everybody! These are just some questions I need help on. They are simple, but there are so many of them that I have to work on, these just tip over the scale in my brain. I appreciate you taking your time and solving these equations so much.
Alexa :)
29. a. Which kind of function best models the data?
b. Write an equation to model the data.
c. If the pattern shown in the table continues, what is the value of y for x = 6? Round to the nearest hundredth if necessary.
x |y
0 |30
1 |15
2 |7.5
3 |3.75
4 |1.875
28. a. Write an expression for the total area of the model below.
http://i1202.photobucket.com/albums/bb364/Small-Beatle/sa029-1.jpg
b. The total area is 110 m2. Write an equation to find x.
c. Solve the equation by completing the square. (4 points)

26. The area of a playground is 221 yd^2. The width of the playground is 4 yd longer than its length. Find the length and width of the playground.
(Hint: Include correct units in your final answer.) (3 points)

25. The formula gives the velocity v = sqrt. 64h in feet per second of an object that has fallen h feet. Find the velocity of an object that has fallen 93 feet. Round to the nearest hundredth.
(Hint: Include correct units in your final answer.) (2 points)

24. Identify the vertex of the graph. Tell whether it is a minimum or maximum.
http://i1202.photobucket.com/albums/bb364/Small-Beatle/mc024-1.jpg
Click here to see answer by rwm(914)

Question 436249: Hi everyone, could you help me solve this equation?
Thank you so much,
Alexa
26. The area of a playground is 221 yd^2. The width of the playground is 4 yd longer than its length. Find the length and width of the playground.
(Hint: Include correct units in your final answer.) (3 points)
Click here to see answer by ankor@dixie-net.com(15660)

Question 436252: Hi there! This is a simple question, but I have so many problems to work on, I need help with the simpler ones so I can work on the tougher ones. Thank you for your time!
Alexa
24. Identify the vertex of the graph. Tell whether it is a minimum or maximum.
http://i1202.photobucket.com/albums/bb364/Small-Beatle/mc024-1.jpg
Click here to see answer by richard1234(5390)

Question 436722: trying to factor 2x^3+7x^2-3x-18 completely given that x+2 is a factor. Tried to factor the first 3 numbers and the last three but getting stuck and don't understand how x+2 fits in. Help! (and thanks!)
Click here to see answer by scott8148(6628)

Question 436772: the equation h=16t+112t givews the height of an row shot upward from the ground with an initial velocity of 112ft/s where t represents the time afte the arow leves the ground find the height of the srow after 2 seconds and 3.5 seconds
Click here to see answer by Alan3354(30993)

Question 436750: the square o a number, decreased by2 is equal to the negative of that number constuct a quadatic fo that statement and then solve that equation by factoring to find the answer
Click here to see answer by jorel1380(2518)

Question 436832: Write a quadratic equation having the given numbers as solutions
-8 and -2
Click here to see answer by mananth(12270)

Question 436871: Factor 2x^3+7x^2-3x-18 completely, given that x+2 is a factor.
I divided the string by x+2 and came up with 2x^2+3x-3, but the answer is supposed to be 2x^2+3x-9. How do I get the 9?
Click here to see answer by Gogonati(809)

Question 436892: I am lost on a quadratic equation when I get to the part where -8+,- (square root of)704 (over)4. The problem is A=2, B=8, C=-80
Click here to see answer by MathLover1(6638)

Question 436930: what are the bimomial factors of t^2-12t-45
Click here to see answer by ewatrrr(10682)

Question 436868: Find an expression for the perimeter of a rectangle with the given area. Area = x2+13x-90
Click here to see answer by jorel1380(2518)

Question 436907: 2a^2+6a-8
Click here to see answer by jorel1380(2518)

Question 436995: How would one go about writing 48/n(n-2)+22 as a quadratic equation?
I'm working on the problem:
A retailer spent $48 to purchase a number of special mugs. Two of them were broken in the store, but by selling each of the remaining mugs for $3 above the original cost per mug, she made a total profit of $22.
Construct an equation that will allow us to solve for the number of mugs, denoted by n, that were originally purchased.
Just by looking at the question I know that the mugs she bought were $4 each and she got 12 of them then sold 10 of them. But I'm lost trying to write out the quadratic equation.
I know it should look like
Thank for any help on this!
Click here to see answer by ankor@dixie-net.com(15660)

Question 437124: Make a graph of y=6x^2-4x-3 and find the vertex, y-intercept, extra points.
I don't understand how I can find the vertex, y-intercept and extra points.
Click here to see answer by mananth(12270)

Question 437139: x2+81=0
Click here to see answer by stanbon(57387)

Question 437113: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer boxes.)
x^2+7x+12=0
x = ?
x = ?
Please show me steps to get the answer. Thanks
Click here to see answer by richard1234(5390)

Question 437162: how to solve the square root of 6 times the square root of 8?
Click here to see answer by rfer(12670)

Question 437219: z^2=8

Click here to see answer by nerdygazilio(2)

Question 437258: Make a graph to estimate the solutions of the equation. Check the solutions algebraically. Show all work.
x^2+12x+20=0
Click here to see answer by Gogonati(809)

Question 437260: solve the equation by completeing the square x^2+2x=15

Click here to see answer by Gogonati(809)

Question 437257: Make a graph of y=-x^2-2x+3 and find the vertex, y-intercept, extra points.
I don't understand how I can find the vertex, y-intercept and extra points.

Click here to see answer by Alan3354(30993)

Question 437300: 1. Suppose you are in the stands of a World Series baseball game. A foul ball is hit your way – you catch the ball, but in a moment of insanity (or too much beer), you throw the ball up in the air.
When a ball is thrown vertically upward from a height of 5 feet with an initial velocity of 96 ft/sec, its height can be modeled by a quadratic equation.
height=-16t^2+96t+5
a. Does the graph of this equation open up or down? How did you determine this? The ball graph of the equation opened down ward. I determined this because the coefficient of the highest power is negative.

b. Describe how the ball travels – what is the shape of its path? the path that the ball travels is upward into the air and bows slightly when returning downward.
c. Use the quadratic formula to determine how long it takes for the ball to land. Calculate to the decimal approximation for your answer.
Note. Your answer, t, will be in terms of seconds.
d. After how many seconds will the ball reach its maximum height?

e. What is the height that the ball will reach?

f. What is the point of the vertex of the quadratic equation? How does this number relate to your answers in parts d. and e?

g. How many solutions are there to the equation ? How do you know?

h. What do the solutions represent? Is there a solution that does not make sense? Why?

Click here to see answer by stanbon(57387)

Question 437221: P(x)=-80x^2+5,280x-61,200
A: overhead costs[P(0)]
B:Break-even Values [ determine to the nearest unit when P(X)=0]
Click here to see answer by solver91311(16897)

Question 437405: HOW DO YOU REWRITE AN EQUATION BY COMPLETING THE SQUARE THEN SOLVE THE EQUATION?
Click here to see answer by stanbon(57387)

Question 437475: using the quadratic formula use it to find the roots of the equation 6x^2+12x=-5
Click here to see answer by solver91311(16897)

Question 437529: Find the equation of the line of symmetry of the parabola defined by the equation?
y=5x^(2)-15x+8
Click here to see answer by lwsshak3(6521)

Question 437522: Solve the quadratic equation. 25 = 9x^2 - 30x
Click here to see answer by richard1234(5390)

Question 437547: Aki's bicycle designs has determined that when x hundred bikes are built, the average cost per bicycle is given by C(x)=0.2x^2-0.4x+5.998, where C(x) is in hundreds of dollars. How many bikes should the shop build to minimize the average cost per bike?
Click here to see answer by edjones(7569)

Question 437603: The height of an acorn falling out of a tree is given by h=-16t squared+b. If an acorn takes 1 second to fall to the ground. What is the value of b?
Click here to see answer by nerdybill(6962)

Question 437601: The height of a triangle is twice the size of its base. The area of the triangl is 50m squared. Find the height and base.
Click here to see answer by robertb(4012)

Question 438019: 3m+33=7m-3
Click here to see answer by rfer(12670)

Question 438013: Carl wants to construct three rectangular dog-training arenas side-by-side using a total of 340 feet of fencing. What should the overall length and width be in order to maximize the area of the three combined arenas? (let x represent the width).
I used the formula A=3xy to find the area and I came up with:
A=3x(340-4x)/6
I also used the formula P=4x+6y to find the perimeter and I came up with:
Y=(340-4x)/6
I don't know where to go from here.
Click here to see answer by solver91311(16897)

Question 438113: how would you solve f(-1/2)=1/4(-1/2)-1/8?
Click here to see answer by MathLover1(6638)

Question 438111: Which value of x makes the equation true?
3x^2 + 14x + 5 = 0
A. -5 and -1/3
B. 5 and 1/3
C. -3 and -5
D. 3 and 5
Could you please explain how you got your answer?
Click here to see answer by stanbon(57387)

Question 438123: Use the quadratic formula to solve the equation.
0=x^2-2x-15
Click here to see answer by Alan3354(30993)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 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, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250