Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 609528: The expression x^2 + 50x + 625 factors into (x + a)^2. What is the value of "a"?

Click here to see answer by richwmiller(17219)

Question 609449: ) List the members of each of the sets below:
(i) { x:x is a square of an integer and 100 (ii) {x:x is a solution of the equation x^2 - 6x +4 = 0}

Click here to see answer by jsmallt9(3758)

Question 609582: Since all quadratic expressions form parabolas, are all parabolas quadratic expressions?
Click here to see answer by solver91311(24713)

Question 609634: rewrite the equation so the left side of the equation is expressed as a perfect square. x2+10x= -22
Click here to see answer by richwmiller(17219)

Question 609643: A soccer ball is kicked vertically at 33 ft/sec. How high does it go? Use the formula

Click here to see answer by Alan3354(69443)

Question 609876: how do you find the roots of 9x^2-650=0
Click here to see answer by umnikmo(75)

Question 609912: what are the formulas?
Click here to see answer by richwmiller(17219)

Question 609976: Can someone help me with this problem.
The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by n(x) = -0.5x^2+13x+11, where x is the number of days since the concert was first announced. When will daily tickets sales peak and how many tickets will be sold that day.
Click here to see answer by stanbon(75887)

Question 610087: the area of a rectangular field is 2275 . The field is enclosed by 200 m of fencing. What are the dimensions of the field
Click here to see answer by flame8855(424)

Question 610063: I am doing "Applications of Quadratic Equations" and the textbook constantly asks 'What are the possible values for t, h whatever'.
Eg. h=16t-4t^2 or h=-1/16(d-10)^2 + 9
I am trying to find the possible values for the pronumeral subsitituiting x.
I have tried the quadratic formula which gave me the correct solution for h=-1/16(d-10)^2 + 9 but not h=16t-4t^2.
How else can I solve this question without trial and error (which takes forever?)
THANKYOU!

Click here to see answer by KMST(5328)

Question 610329: find the value of c that completes the square
a^2 + 22/13a + c
Click here to see answer by Alan3354(69443)

Question 610322: Find the value that completes the square
x^2 - 38x + c
Click here to see answer by Alan3354(69443)

Question 610240: 3x2 + 7x > -12
Click here to see answer by jsmallt9(3758)

Question 610508: The length of a rectangle is 2 times its width. The area of the rectangle is 72
square inches. Find the dimensions of the rectangle.
How would I solve this by factoring?
Click here to see answer by jsmallt9(3758)

Question 610554: I could use some help on this problem.
Which of these is the first step in solving x^2 + 6x + 1 = 0 by completing the square?
a. (x + 6)^2 = -1
b. x^2 + 6x = -1
c. x^2 + 6x + 9 - 9 + 1 = 0
d. (x + 6)^2 + 1 = 1
I came up with A., but I'm not sure if that is correct.

Click here to see answer by Alan3354(69443)

Question 610696: finding a quadratic equation with a given roots
Click here to see answer by jsmallt9(3758)

Question 610715: use factoring to find the zeros of y=x2-7x-8 and the axis of symmetry
Click here to see answer by scott8148(6628)

Question 610753: Can someone help me solve this problem? Thank you so much!
Solve x� + 4x � 7 = 0 by completing the square. How many solutions are there?

Click here to see answer by scott8148(6628)

Question 610920: 14x^2+9x+1=0
Click here to see answer by jim_thompson5910(35256)

Question 611153: A firecracker shoots up from a hill 140 feet high with an initial speed of 100 feet per second. Using the
formula , approximately how long will it take the firecracker to hit the ground?
Multiple choice : a) 5 seconds, b) 7seconds, c) 9 seconds, d) 11 seconds.
Click here to see answer by Alan3354(69443)

Question 611159: 1. Which of the following is a quadratic equation that has roots of 2 1/2 and 2/3?
A) 5x^2 + 11x - 7 = 0
B) 6x^2 - 19x + 10 = 0
C) 5x^2 + 11x - 10 = 0
D) 6x^2 + 19x - 10 = 0

14. Solve by completing the square x2 - 6x - 4 = 0.
21. Solve by completing the square x2 - 2x - 5 = 0.

25. Solve by completing the square 3x2 - 8x - 6 = 0.

26. Solve the quadratic equation x2 + 8x + 12 = 0.

Click here to see answer by Alan3354(69443)

Question 611361: whats the answer to 5(x+6)^2=80 using the square root method
Click here to see answer by jim_thompson5910(35256)

Question 611361: whats the answer to 5(x+6)^2=80 using the square root method
Click here to see answer by stanbon(75887)

Question 611361: whats the answer to 5(x+6)^2=80 using the square root method
Click here to see answer by ewatrrr(24785)

Question 611359: whats the answer to 5(x+6)^2+80 using the square root method
Click here to see answer by solver91311(24713)

Question 611369: whats the answer to x2=8x+2 using the quadratic formula
Click here to see answer by jsmallt9(3758)

Question 611378: how do I rewrite the quadratic equation x^2+6x-8 in vertex form?
Click here to see answer by solver91311(24713)

Question 611378: how do I rewrite the quadratic equation x^2+6x-8 in vertex form?
Click here to see answer by stanbon(75887)

Question 611390: How would I solve the equation 2t^2+8t-64=0 using the Factoring Method?
I've gotten the problem down to 2(t-4)(x+8) but then sort of crashed...
Click here to see answer by jim_thompson5910(35256)

Question 611543: I am really stumped here and have gotten so confused. the question is
If 4n^2+25=-20x what is the value of the discriminant, AND can you please state the number and type of roots/solutions/zeros.
Thanks so much!!
KF
Click here to see answer by ewatrrr(24785)

Question 611559: 4n^2+25=-20x I need to find the value of the discriminant as well as I need to state the number and types of roots/solutions/zeros. Thanks a lot-I am so confused!!!
anonymous

Click here to see answer by richwmiller(17219)

Question 611576: the problem is 4n^2+25=-20x. What is the value of the discriminant and please state the number and typs of roots/solutions/zeros? Please show your work as well. I think that I following the following a + b+ c+= a is 4^2+b which is 20+c which is 25=0. I am so confused I am not even sure if that is right. If you could do this and show all work it is greatly appreciated.

Click here to see answer by stanbon(75887)

Question 611586: I thought I was getting the hang of this but definitely not sure now-
x^2-16x+4=0. Please show your work PLEASE! I need the value of the discriminate, give the number and the number of roots/solutions/zeros. I thought that I was to ad x^2+16+4 but I am so confused that I don't even know any more.
Again please show your work so that I may understand the processes involved.
Click here to see answer by Edwin McCravy(20054)

Question 611680: The volume of a rectangular Chinese box is given by the formula V= LWH. The volume of the box shown to the right is 594 cu. Units. Find the Length and Width.
Click here to see answer by solver91311(24713)

Question 611906: If f(x)=x^3 & g(x)=x+5, which is equivalent form of f(g(x))?
Click here to see answer by jim_thompson5910(35256)

Question 611909: Find the x-intercept(s) and the coordinates of the vertex for the parabola y = x^2-2x-8. If there is more than one x-intercept, separate them with commas.

Click here to see answer by lwsshak3(11628)

Question 612122: Plz Evaluate alpha minus beta in the quadratic equation
Click here to see answer by richard1234(7193)

Question 612193: You buy 50 feet of fence material, you plan to plant a garden within the fence,
and you are going to get some fertilizer. One bag of fertilizer covers 500 square feet, you decide that you want to make your garden so that one bag of fertilizer is just enough.
what length do you make the first side of your fence?
Click here to see answer by richwmiller(17219)

Question 612220: a ball is thrown at the height of 3m with the speed of 4m/s. find the quadratic equation.
Click here to see answer by stanbon(75887)

Question 612240: please please help me! i know the quadratic formula, but what i dont understand is what do you do if there is no 'b' for the quadratic formula? for example:
normal formula:
ax2+bx+c
question
4p2-36=0
Click here to see answer by bucky(2189)

Question 612371: -x^2-8x-12
Click here to see answer by lynnlo(4176)

Question 612355: ,leaving the answer in simplest
radical form.
A. ^8sqrt(x^3)
B. ^18sqrt(x)
C. ^9sqrt(x^2)
D. ^3sqrt(x)
Hope you can understand....
Click here to see answer by lynnlo(4176)

Question 612138: please solve this problem by completing the square

Click here to see answer by jsmallt9(3758)

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, 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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240