Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 179457: I am having trouble with the quadratic formula:
Thank you for your time.
Click here to see answer by stanbon(75887)

Question 179457: I am having trouble with the quadratic formula:
Thank you for your time.
Click here to see answer by nerdybill(7384)

Question 179281: A rectangular tract of land 20m by 30m has part of its area covered by an I-shaped road, which goes around two sides. The road is the same width on both sides, and its area is 184 square meters. What are the dimensions of the part of the tract of land not covered by the road?
Click here to see answer by ankor@dixie-net.com(22740)

Question 179511: Solve by completing the square:
x^2+6x+4=0
Thanks :)
Click here to see answer by stanbon(75887)

Question 179510: Solve using the square root property:
1. 2x^2=40
2. (x+3)^2=49
Thank you ;)
Click here to see answer by jim_thompson5910(35256)

Question 179509: Solve using the quadratic formula:
1) x^2-2x=15x-10

2) x^2-3x-3=5

Thank you for the help ;)
Click here to see answer by jim_thompson5910(35256)

Question 179529: Walt made an extra $12,000 last year from a part time job. He invested part of the money at 7% and the rest at 9%. He made a total of $970 in interest. How much was invested at 7%?
Click here to see answer by MissionPossible(18)

Question 179535: Solve by factoring:
x^2-5x=6
Thanks for your help and time ;)
Click here to see answer by edjones(8007)

Question 179156: Please help.
Find b^2 _4ac and the number of real solutions to each equation.
1. 9m^2 + 16 = 24m
2. -3x^2 + 7x =0
Click here to see answer by edjones(8007)

Question 179554: Joe has a collection of nickels and dimes that is worth $6.05. If the number of dimes was doubled and the number of nickels was decreased by 10, the value of the coins would be $9.85. How many dimes does he have?
Click here to see answer by nerdybill(7384)

Question 179557: T= -0.2x^2+12x+11
the questions are:
what is the point of the vertex? what do the soulations represent?
Click here to see answer by stanbon(75887)

Question 179560: 3. Walt made an extra $12,000 last year from a part-time job. He invested part of the money at 7% and the rest at 9%. He made a total of $970 in interest. How much was invested at 7%?

Click here to see answer by Earlsdon(6294)

Question 179559: An express train and a local train both leave Gray�s Lake at 12:00 noon and head for Chicago 60 miles away. The express travels twice as fast as the local and arrives 2 hours ahead of it. Find the speed of each train.
Click here to see answer by checkley77(12844)

Question 179592: I need help with this problem. I'm so confused!
Solve using the quadratic formula
x^2-3x=-3
Thank you very much
Click here to see answer by jim_thompson5910(35256)

Question 179605: Find all real solutions of the quadratic equation. (Enter NONE if a solution does not exist.)
x^2- + 3= 0
i subtracted 3 and x^2 to the other side to isolate the radical
-= -x^2-3
then i squared both sides of the equation to get rid of the radical and got
13x= x^4+6x^2+9 i then subtracted 13x to get all the variables on one side
x^4+6x^2-13x+9=0 i don't know how to solve the rest of the problem. I tried moving the 9 to the other side then factoring out an x and trying to factor the rest of the problem but didn't work i also tried completing the square that didn't work either

Click here to see answer by Alan3354(69443)

Question 179577: Write a quadratic equation in the form ax^2 + bx + c = 0 with the given roots: -1/2, 5.
Click here to see answer by Mathtut(3670)

Question 179617: I need to create a real life situation that fits the equation (x+3)(x-5)=0 and express the situation as the same equation.
Click here to see answer by Mathtut(3670)

Question 179618: The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver , and returns in a total time of 6 hours. What is the speed of the boat in still water?
I have figured the distance is 40 miles with a speed of r-5 upstream and r in still water, and the total time is 6 hours but I still can not figure out how to write the equation and solve it.
Click here to see answer by stanbon(75887)

Question 179656: I know this isn't a quadratic equation, but it is stumping me none the less. I'd really appreciate any help I can get. Thanks,
solve;
10x^4-19x^3+6=0
Click here to see answer by stanbon(75887)

Question 179708: Simplify the following:
sqrt(98m^4)

Click here to see answer by ptaylor(2198)

Question 179709: Simplify by combining like terms:
5sqrt2 - 2sqrt18
Click here to see answer by ptaylor(2198)

Question 179715: Find the distance between these two points:
(6,4) and (-3,5)

Click here to see answer by Edwin McCravy(20054)

Question 179712: Solve. (Be sure to check your solution):
sqrt(2y + 7) + 4 = y

Click here to see answer by Fombitz(32388)

Question 179710: Given a right triangle with a leg length of 8cm and a hypotenuse length of 4cm, find the length of the other leg.

Click here to see answer by Fombitz(32388)

Question 179706: Find the distance between these two points:
(4,-1) and (0,-5)

Click here to see answer by Fombitz(32388)

Question 179731: can you please help me solve in simplest radical form: (((x^2+8x=16)))
Click here to see answer by Mathtut(3670)

Question 179713: Multiply and then simplify the radical expression:
sqrt7(sqrt7 - sqrt5)

Click here to see answer by Mathtut(3670)

Question 179707: Multiply and then simplify the radical expression:
3sqrt(2a) � sqrt(5a)

Click here to see answer by Mathtut(3670)

Question 179766: I need help with this word problem
write three quadratic equations,with a,b, and c (coefficients of x to the power of 2, x, and the constant as 1.integers2.rational numbers 3. irrational numbers.
Click here to see answer by Mathtut(3670)

Question 179776: find the value of "a" such that y^2+14y+a is a perfect square

please can you help
Click here to see answer by Mathtut(3670)

Question 179778: find the value of C such that w^2-12x+c is a perfecy square
Click here to see answer by Mathtut(3670)

Question 179705: Simplify:
sqrt[(24x^4)/36]

Click here to see answer by checkley77(12844)

Question 179786: 64+27x^3 factor completly
Click here to see answer by solver91311(24713)

Question 179711: Divide, rationalize the denominator if necessary, then simplify the radical expression:
(sqrt80n^3)/sqrt2

Click here to see answer by Fombitz(32388)

Question 179780: find the least common multiple of the two
12t^2z^6 and 4t^6w^4z

Click here to see answer by vleith(2983)

Question 179785: y=1/1800(x-600)(x+600) x and y are measured in meters
1)how wide is the crater if y=0 and what is the depth of the crater?

Click here to see answer by ankor@dixie-net.com(22740)

Question 179876: At work one day, Erica received 28 packages. Speedy delivery delivered twice as many as Ralph's Express, while Ralphs Express delivered four more than Send Quick Package service. How many packages did each service deliver to Erica.
Speedy Delivery
Ralph's Express
Sendquick
Click here to see answer by Mathtut(3670)

Question 179873: p=a+2b+c, for a
Click here to see answer by Mathtut(3670)

Question 179871: Two minor league players got a total of 262 hits. Washington had 14 more hits than Tony. Find the number of hits for each player.
Washington
Tony
Click here to see answer by Mathtut(3670)

Question 179870: For the following set of temperatures recorded during 7 days in Hartford, find the mean.
54,56,67,52,67,57,53
The mean is ___
Click here to see answer by solver91311(24713)

Question 179869: Identify the percent, whole, and part in the following. Do not solve for any unknowns. 30% of 700 is 210.
percent=
type u to identify the unknown
whole =
type u to identify the unknown
part =
type u to identify the unknown
Click here to see answer by Mathtut(3670)

Question 179872: 1/2(4y+2)-20<-1/3(9y-3)
Click here to see answer by Mathtut(3670)

Question 179884: I was given the following roots and was asked to write the quadratic equation. I successfully solved one using whole numbers, but am stuck when using imaginery numbers. An example set of roots = 5 - 2i, 5 + 2i. If I can learn how to do one, I can apply it to the remainder of the work. Thank you.
Click here to see answer by Mathtut(3670)

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