Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 48691: the case of a quadratic function, why are there two x-intercepts and one y-intercept?

Click here to see answer by ton2(2)

Question 48690: How do you compute the intercepts of a quadratic function?
Click here to see answer by longjonsilver(2297)

Question 48692: factor the left side
x^2+4x+4=7
Click here to see answer by stanbon(75887)

Question 48692: factor the left side
x^2+4x+4=7
Click here to see answer by venugopalramana(3286)

Question 48753: Please solve the equation

Click here to see answer by checkley71(8403)

Question 48752: Solve the equation by completing the square.

Click here to see answer by longjonsilver(2297)

Question 48849: I have worked on this problem trying to figure it out.
When all of the gorcery carts escape from the supermarket, it takes Reginald 12 minutes to round them up and bring them back. Because Norman doesn't make as much per hour as Reginald, it takes norman 18 minutes to do the same job. How long would it take them working together to complete the round up?
I know that Rate x Time = work
I believe that in setting this up, it would have to be Time = Work/Rate. However you would have to know the Work though, right?
Click here to see answer by stanbon(75887)

Question 48976: Solve using the quadratic formula, writing the answer as a simplified radical expression.
Click here to see answer by tutorcecilia(2152)

Question 49156: solve 2x�-3x-2�10+x-3x�
I can not figure this problem out.. I have tried about 12 times.. this is my last resort.
Click here to see answer by longjonsilver(2297)

Question 49156: solve 2x�-3x-2�10+x-3x�
I can not figure this problem out.. I have tried about 12 times.. this is my last resort.
Click here to see answer by venugopalramana(3286)

Question 49235: 4x+2=10
Click here to see answer by AnlytcPhil(1806)

Question 49473: Is the following trinomial a perfect square?
x2 + 18x + 81
Click here to see answer by Earlsdon(6294)

Question 49472: Solve by using the quadratic formula. x2 = 3x � 1
Click here to see answer by Earlsdon(6294)

Question 49479: Solve. (x + 2)2 = 16
Click here to see answer by prabhjyot(165)

Question 49478: Solve. x2 = 14
Click here to see answer by prabhjyot(165)

Question 49480: Solve by using the quadratic formula. x2 � 15x + 54 = 0
Click here to see answer by Osran_Shri(18)

Question 49477: Solve. (x + 3)2 = 6
Click here to see answer by prabhjyot(165)

Question 49477: Solve. (x + 3)2 = 6
Click here to see answer by Osran_Shri(18)

Question 49475: Solve. (x � 5)2 = 6
Click here to see answer by checkley71(8403)

Question 49574: solve
x^2=-6x
Click here to see answer by checkley71(8403)

Question 49617: could you state all the transformations for the quadratic formula, y-3=-2(x+3)^2
Click here to see answer by stanbon(75887)

Question 49642: 5x-7 is less than or equal to 2x+5
Click here to see answer by ikdeep(226)

Question 49680: 6xsquared-11x-10 is expressed in the factored form (ax+b)(cx+d) what is the usm of a, b, c and d

Click here to see answer by Earlsdon(6294)

Question 49767: Solve by using the quadratic formula.
3x^2=11x+4
Click here to see answer by venugopalramana(3286)

Question 49770: solve please.
9x^2=14
Click here to see answer by prabhjyot(165)

Question 49773: I can find no solution to this question, and so I am hoping you can show me where I went wrong.
Equation: If f(x)=x^2+2x-1, find f(-2)
this is what I did: (-2)x^2+2x-1=0
2^2+4(0)(-1)=4 there is no solution. so I figure I have to have done something wrong. Please help.
thankyou

Click here to see answer by stanbon(75887)

Question 49820: I am getting stuck on the last steps in solving this by the square root method if you could help. 2(x-5)^2=3 I came up with x= plus or minus sq rt 6/2...
Click here to see answer by Nate(3500)

Question 49822: I have a word promblem that I think needs to be setup in the polynomial equation so I can solve the promblem. Here's the question: A particular zoo has a collection of 366 animals with a total of 1322 feet. Assuming birds have two feet and beast have 4 feet, how many birds and how many beasts are present?
Click here to see answer by Nate(3500)

Question 49821: I am not sure whether to use factoring or completing the square for this quadratic equation: 2x^2+10+11=0
Click here to see answer by Nate(3500)

Question 49826: I think I am supposed to solve by factoring:x^2+4x+4=7. I first subtracted 7 from both sides for x^2+4x-3=0. Can you assist please?
Click here to see answer by rapaljer(4671)

Question 49819: I think I have this one right:25x^2=13 x^2=13/25 = sqrt 13/25 = plus or minus sqrt 13 /5 Can you confirm please?
Click here to see answer by rapaljer(4671)

Question 49795: find the distance between
(-3,2) and (1,4)
Thank you
Click here to see answer by alka(15)

Question 49727: x square divided by (x-2)(x-3)=2 divided by (x-2)+ 6 divided by (x-2)(x-3). solve for x.
Click here to see answer by gsmani_iyer(201)

Question 49470: Solve by using the quadratic formula. x2 – 15x + 54 = 0
Click here to see answer by Juhi(44)

Question 49871: 4x^2-7x^3
Click here to see answer by stanbon(75887)

Question 49888: I need help with this one, the 0 is confusing me.
Solve by completing the square:
X2 �12X + 27 = 0
Click here to see answer by venugopalramana(3286)

Question 49887: I am not coming up with the correct answer for this. I am leaving something out. Can someone help me showing the step by step process?
Solve by using the quadratic formula:

X2 = 2X + 4
Click here to see answer by venugopalramana(3286)

Question 49885: Oh my goodness. I have no clue as to what I am suppose to do with this. Please help me solve this. Is this suppose to be done in multiple steps?
Given the parabola y = x2 � 6x �7 , answer the following questions:
Determine if the parabola whose equation is given opens upward or downward. What is its x-intercept?
Find its y-intercept. What are the coordinates of the vertex?
Graph the parabola.
Click here to see answer by venugopalramana(3286)

Question 49886: Is this a trick question? I am not sure how to do these. Can some show me what steps I am suppose to take for this.
Solve each equation:
a. X2 = -100
b. 5X2 = -125

Click here to see answer by stanbon(75887)

Question 49991: What am I suppose to do with this? Please help me understand the steps of this?
Factor completely or state that it is �Prime�:

a. Z4 �16
b. X2 + 1
Click here to see answer by stanbon(75887)

Question 49992: Please help me figure this out. I am not coming up with the right answer.
Factor Completely:
a. X2 �16X + 64

b. X3 � 27

Click here to see answer by stanbon(75887)

Question 49989: What am I supposed to do with this? Am I supposed to follow an order of operation?
I am having problems with this. Please help me.
Find all the numbers for which the rational expression is undefined:
a. (x+3)/[(x�2)(x+5)]
b. 7/(x�+81)

Click here to see answer by AnlytcPhil(1806)

Question 50074: the u shape of the graph of a quadratic equestin

Click here to see answer by tutorcecilia(2152)

Question 50341: I am confused on the way I am supposed to come up with a table of values (x & y)to figure out the answer to these. y=2x and y=2x^2 especially. I did great when I was provided the x values; now I don't know how/where to find them. Help!
Click here to see answer by rapaljer(4671)

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, 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