Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 74404: solve using the quadratic formula
5x^2 + 8x = -3
Click here to see answer by Cintchr(481) About Me 
Question 74406: solve 2x - 7*(sq.rt of x) - 30 = 0
Click here to see answer by scott8148(6628) About Me 
Question 74403: solve
x^2 - 4x + 8 = 0
Click here to see answer by checkley75(3666) About Me 
Question 74455: 62/t=(69/(t+1))+2. Solve for t. Thanks in advance
Click here to see answer by scott8148(6628) About Me 
Question 74543: how do you find the vertex and the axis of symetry of:
y=-(x+11)^2+8
Click here to see answer by jim_thompson5910(35256) About Me 
Question 74580: How do you do 1/2 radical sign with 112 inside the radical sign? Its on Page 514 number 18.
Click here to see answer by stanbon(75887) About Me 
Question 74644: Find the slope of any line perpendicular to the line through points (6, 3) and (7, 7).
Click here to see answer by funmath(2933) About Me 
Question 74644: Find the slope of any line perpendicular to the line through points (6, 3) and (7, 7).
Click here to see answer by checkley75(3666) About Me 
Question 74697: How long before I get an answer?
Click here to see answer by checkley75(3666) About Me 
Question 74839: Solve the following quadratic equations by factoring or by any other techniques of this chapter and explain why you chose that method over the other methods or each problem.
%28x-1%29%5E2=7
The answer I got was 2sqrt%287%2B1%29. I am not sure what method I used and why or how to explain it. I am needed some help with that part. Is this answer correct? Thanks
Click here to see answer by jim_thompson5910(35256) About Me 
Question 74839: Solve the following quadratic equations by factoring or by any other techniques of this chapter and explain why you chose that method over the other methods or each problem.
%28x-1%29%5E2=7
The answer I got was 2sqrt%287%2B1%29. I am not sure what method I used and why or how to explain it. I am needed some help with that part. Is this answer correct? Thanks
Click here to see answer by Earlsdon(6294) About Me 
Question 74837: (x+5)(x+7)=0 solving quadratic equtions by factoring
Click here to see answer by jim_thompson5910(35256) About Me 
Question 74837: (x+5)(x+7)=0 solving quadratic equtions by factoring
Click here to see answer by Nate(3500) About Me 
Question 74853: Solve the following quadratic equations by factoring or by any of the techniques of this chapter. Explain why you chose one method over the other for each problem.
x%5E2-9x-4=6
The answer I got for this one is
x%5E2-9%2Ax-4=6
%28x%5E2-9%2Ax-4%29%2B%28-6%29=6%2B%28-6%29
x%5E2-9%2Ax-4-6=6-6
x%5E2-9%2Ax-10=0
x=%28-%28-9%29%2B2sqrt%28-9%29%5E2-4%2A1%2A%28-10%29%29%2F%282%2A1%29,x=%28-%28-9%29-2sqrt%28-9%29%5E2-4%2A1%2A%28-10%29%29%2F%282%2A1%29
x=%28-%28-9%29%2B2sqrt%28-9%29%5E2-4%2A1%2A%28-10%29%29%2F2,x=%28-%28-9%29-2sqrt%28-9%29%5E2-4%2A1%2A%28-10%29%29%2F2
x=%28-%28-9%29%2B2sqrt%28%28-%283%5E2%29%29%5E2-4%2A%28-10%29%29%29%2F2,x=%28-%28-9%29-2sqrt%28%28-%283%5E2%29%29%5E2-4%2A%28-10%29%29%29%2F2
x=%28-%28-9%29%2B2sqrt%28%28-9%29%5E2-4%2A%28-10%29%29%29%2F2,x=%28-%28-9%29-2sqrt%28%28-9%29%5E2-4%2A%28-10%29%29%29%2F2
x=%28-%28-9%29%2B2sqrt%28%283%5E2%29%5E2%2B40%29%29%2F2,x=%28-%28-9%29-2sqrt%28%283%5E2%29%5E2%2B40%29%29%2F2
x=%28-%28-9%29%2B2sqrt%289%5E2%2B40%29%29%2F2,x=%28-%28-9%29-2sqrt%289%5E2%2B40%29%29%2F2
x=%28-%28-9%29%2B2sqrt%28%283%5E2%29%5E2%2B40%29%29%2F2,x=%28-%28-9%29-2sqrt%28%283%5E2%29%5E2%2B40%29%29%2F2
x=%28-%28-9%29%2B2sqrt%289%5E2%2B40%29%29%2F2,x=%28-%28-9%29-2sqrt%289%5E2%2B40%29%29%2F2
x=%28-%28-9%29%2B2sqrt%28%283%5E2%29%5E2%2B40%29%29%2F2,x=%28-%28-9%29-2sqrt%28%283%5E2%29%5E2%2B40%29%29%2F2
x=%28-%28-9%29%2B2sqrt%283%5E%282%2A2%29%2B40%29%29%2F2,x=%28-%28-9%29-2sqrt%283%5E%282%2A2%29%2B40%29%29%2F2
x=%28-%28-9%29%2B2sqrt%283%5E4%2B40%29%29%2F2,x=%28-%28-9%29-%283%5E4%2B40%29%29%2F2
x=%28-%28-9%29%2B2sqrt%2881%2B40%29%29%2F2,x=%28-%28-9%29-2sqrt%2881%2B40%29%29%2F2
x=%28-%28-9%29%2B2sqrt%28121%29%29%2F2,x=%28-%28-9%29-2sqrt%28121%29%29%2F2
x=%28-%28-9%29%2B2sqrt%2811%5E2%29%29%2F2,x=%28-%28-9%29-2sqrt%2811%5E2%29%29%2F2
:
x=%28-%28-9%29%2B%282%2F2%29sqrt%2811%5E%282%2F2%29%29%29%2F2,x=%28-%28-9%29-%282%2F2%29sqrt%2811%5E%282%2F2%29%29%29%2F2
x=%28-%28-9%29%2B%281%2F1%29sqrt%2811%5E%281%2F1%29%29%29%2F2,x=%28-%28-9%29-%281%2F1%29sqrt%2811%5E%281%2F1%29%29%29%2F2
x=%28-%28-9%29%2B1sqrt%2811%5E1%29%29%2F2,x=%28-%28-9%29-1sqrt%2811%5E1%29%29%2F2
x=%28-%28-9%29%2B1sqrt%2811%29%29%2F2,x=%28-%28-9%29-1sqrt%2811%29%29%2F2
x=%28-%28-9%29%2B11%29%2F2,x=%28-%28-9%29-11%29%2F2
x=%289%2B11%29%2F2,x=%289-11%29%2F2
x=20%2F2,x=%28-2%29%2F2
x=2%5E2%2A5%2F2,x=%28-2%29%2F2
x=2%5E%282-1%29%2A5%2F1,x=%28-2%29%2F2
x=2%5E1%2A5%2F1,x=%28-2%29%2F2
x=2%2A5%2F1,x=%28-2%29%2F2
x=2%2A5,x=%28-2%29%2F2
x=10,x=%28-2%29%2F2
x=10,x=-1%2F1
x=10,x=-1
Is this correct. I am not sure which method I used and why I would use this particular method over another and need some help with that.Thanks (Sorry this is so long I don't like to do this because of that, but I wanted you to see my work on this one.)
Click here to see answer by jim_thompson5910(35256) About Me 
Question 74861: Solve the following quadratic equations by factoring or by any of the techniques of this chapter.Share why you chose one method over the other for each problem.
4x%5E2-8x=3=5
The answer I got was 2sqrt%286%2B2%29%2F2,-2sqrt%286%2B2%29%2F2. Is this correct? Thanks. Is this the square root method? Thank.
Click here to see answer by jim_thompson5910(35256) About Me 
Question 74863: The pare of the Quadratic formula,b%5E2-4acthat is under the radical is called the discriminant. Complete the following sentences to show how this value indicates whether there are no solutions, one solution, or two solutions for the quadratic equation.
A) When b^2-4ac is _________________, there are no real number soulutions because......
B) When b^2-4ac is _________________, there is one solution because.....
C)When b^2-4ac is __________________, there are two solutions because.....
D)When b^2-4ac is __________________, there are two rational solutions because.....
E)When b^2-4ac is __________________, there are two irrational solutions because.....
I am really needing some help with this. I searched the internet for the answers, and now I am really confused. please help. Thanks
Click here to see answer by jim_thompson5910(35256) About Me 
Question 74829: Pamela has 50 feet of fencing tp put around a rectangular dog pen. Her house is used as one side of the pen. A 2 feet opening is left on another side for a gate. What length and width will provide a maximim area for her dog?
Click here to see answer by checkley75(3666) About Me 
Question 74838: I need to convert this into a quadratic equation. I can get the correct answer, I just can't figure out how to write a quadratic equation that works.


1. A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?
Click here to see answer by scott8148(6628) About Me 
Question 74975:
Click here to see answer by psbhowmick(878) About Me 
Question 74972: Please help me with this problem. Thank you!!
2t^2+7t=4
Thank you!!!
Click here to see answer by funmath(2933) About Me 
Question 75008: Solve each equation for X.
25x%5E2+=+13
I got the answer of:13%5E%281%2F2%29%2F5, -13%5E%281%2F2%29%2F5. Is this correct? Thanks
Click here to see answer by jim_thompson5910(35256) About Me 
Question 75010: Solve each equation for x.
x%5E2%2B4x%2B4=7
(Hint:Factor the left-hand side.)
My answer was:x=2sqrt%287-2%29,x=-2sqrt%287-2%29.Is this correct. Thanks.
Click here to see answer by checkley75(3666) About Me 
Question 75018: Number Problems. Find two consecutive positive integers such that the sums of their squares is 85.
I am in need of some help with this problem. Thanks.
Click here to see answer by checkley75(3666) About Me 
Question 75039: how can i solve this quadratic equation?
4x^2=13x+12
Click here to see answer by checkley75(3666) About Me 
Question 75039: how can i solve this quadratic equation?
4x^2=13x+12
Click here to see answer by Earlsdon(6294) About Me 
Question 75015: y-5=1/3(x+2)^2 (Thank - you)
Click here to see answer by Alwayscheerful(414) About Me 
Question 75017: Solve each of the following quadratic equations by completing the square.
2x%5E2%2Bx%2B11=0
My answer was:x=-1%2F4%2B%282sqrt%2887%29%2F4%29%2Ai,x=-1%2F4-%282sqrt%2887%29%2F4%29%2Ai. Is this correct? Thanks.
Click here to see answer by bucky(2189) About Me 
Question 75016: Solve each of the following quadratic equations by completing the square.
x%5E2-6x-3=0
My answer for this problem was x=2%2A2sqrt%283%2B3%29,x=-2%2A2sqrt%283%2B3%29. Is this correct? Thanks
Click here to see answer by bucky(2189) About Me 
Question 75009: Solve each equation for x.
2(x-5)^2 = 3
My anwer was:x=2sqrt%286%2B10%29%2F2,x=2sqrt%28-6%2B10%29%2F2. Is this correct? Thanks.
Click here to see answer by bucky(2189) About Me 
Question 75032: how do i graph this:x to the 2nd power+2=3x
Click here to see answer by stanbon(75887) About Me 
Question 75083: Use the quadratic formula to solve each of the following quadratic equations.
2x%5E2-5x=3
I needed to check my answer of: x=2sqrt%2873%2B5%29%2F4,x=-2sqrt%2873%2B5%29%2F4. Is this correct? Thanks.
Click here to see answer by psbhowmick(878) About Me 
Question 75086: Use the quadratic formula to solve each of the following quadratic equations.
3x%5E2-2x%2B1=0
My answer to this equation was:x=1%2F3%2B%282sqrt%282%29%2F3%29%2Ai,x=1%2F3-%282sqrt%282%29%2F3%29%2Ai. Is this correct? Thanks for your time.
Click here to see answer by Edwin McCravy(20054) About Me 
Question 75093: 30A garden area is 30 feet long qand 20 feet wide. A path of uniform width is set around the edge. If the remaining garden is 400 square feet, what is the width of the path?
30 * 20 = 600
600-400 =200
lw=Area
lw= 200
I drew a picture and still really did not make sense. If I could figure out how to use the quadratic to solve this I could easily do the actual math, but I am struggling setting up the equation.
Click here to see answer by checkley75(3666) About Me 
Question 75087: Solve the following equations. Construction.A garden area is 30ft long and 20ft wide. A path of uniform width is set around the edge. If the remaining garden is 400ft^2, what is the width of the path?
I am needing some help with this one. Thanks
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 75194: Find the slope.
–6x – 9y = 12
Click here to see answer by josmiceli(19441) About Me 
Question 75196: Given f(x) = –x3 + 3x2 – x + 4, find f(–2), f(0), and f(3)
Click here to see answer by jim_thompson5910(35256) About Me 
Question 75304: Find the prime factorization of the number
90
Click here to see answer by rmromero(383) About Me 
Question 75408: Help me find the discriminant for :
3x^2-14x+9
Click here to see answer by stanbon(75887) About Me 
Question 75430: Represent the quantity with a real number
A country exported $60,000,000 less than it imported, creating a negative trade balance
Click here to see answer by funmath(2933) About Me 
Question 75434: |4| + |-3|
Click here to see answer by Edwin McCravy(20054) About Me 
Question 75508: how do i solve x squared - 34 + 15, and how can i do it before tomorrow, 3-23-07, i have a MAJOR test tomorrow and stressing REALLY REALLY BAD over it
Click here to see answer by checkley75(3666) About Me 
Question 75580: Solve by using the quadratic formula. 3x2 = 11x + 4
Click here to see answer by Edwin McCravy(20054) About Me 
Question 75467: Write 36x^2-360x-25y^2-100y=100 in standard form.
I know I am supposed to complete the square, but that is what I am having trouble with. Any help is very much appreciated!
Click here to see answer by scott8148(6628) About Me 
Question 75706: I have worked through this problem and end up with a different answer. I am not understanding how to reduce the sqrt, everything I have done to this point matched the solver. I do not want the decimal form, it needs to remain in sqrt. This not from a text book, it is practice for a placement exam.
2+ or - sqrt of 20
x= __________________

2
I imagine there is a better way to type this out for you, but I don't know it...sorry.
Truly,
Shelly
Click here to see answer by stanbon(75887) About Me 
Question 75749: Solve the following quadratic equation.
4x^2 = 13x + 12
Click here to see answer by checkley75(3666) About Me 
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, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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, 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