Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 549521: A garden measuring 12 meters by 16 meters is to have a pedestrian pathway installed all around it, increasing the total area to 285 square meters. What will be the width of the pathway?
Click here to see answer by mananth(16946)

Question 549585: Marie is 4 years younger than Julie. In 3 years the product of their ages will be 410. How old are they?
Marie= x-4
Julie= x
julie= (x+3)
marie= x-4+3 = (x-1)
(x+3)(x-1)= 410

Click here to see answer by stanbon(75887)

Question 549599: This is an assigned question I do not understand. Answer choices b - e are divided by 2. Please help!!!!
1. Which of the following represents the area of the region in Quadrant I bounded by the lines x = 0, y = 0, x = c, and y = kx + b, where a, b, c, and k are all positive numbers?
a. ckx + cb
b. cb + kc / 2
c. 2bc + kc /2
d. 2bc + kc2 /2
e. 2b + kc2 / 2

Click here to see answer by solver91311(24713)

Question 549684: What should be the range of the value of k so that the equation 2x2+3kx-9=0 will have real and unequal roots?
What should be the value of k so that the equation x2+(k-2)x+4=0 will have equal roots?
Find the range of the value of k so that the equation kx2+4squareroot of 3x+k=0 will have imaginary roots.

Click here to see answer by KMST(5328)

Question 549712: How do you solve this quadratic equation? It doesn't appear in the standard quadratic form so I'm unsure how to solve the problems I have like this one problem. I do know how to solve the ones that look like f(x) = a x^2 + b x + c ; please help me with this:
x^3-2x^2+5x-6=0
Click here to see answer by mananth(16946)

Question 548600: The solutions of x^3 � 2x^2 + 3x + 4 = 0 are a, b, and c. what is the numerical value of (a + b)(a + c)(b + c) ?

Click here to see answer by richard1234(7193)

Question 549807: x^2+x-110=0
Click here to see answer by jim_thompson5910(35256)

Question 549834: Express f(x)=4x^2-12x+5 in factored form and determine the x intercepts, the vertex and sketch the graph of the function
Click here to see answer by stanbon(75887)

Question 549931: X^2-13x-12=0
what is x?

Click here to see answer by jim_thompson5910(35256)

Question 549931: X^2-13x-12=0
what is x?

Click here to see answer by nerdybill(7384)

Question 549912: select a natural number between 1 to 50. square the digits and add. repeat this process until you see a pattern.
What other numbers end with one?
What happen if you do the process to number 37?
What conclusion can you give?
Click here to see answer by richard1234(7193)

Question 549192: write the quadratic function in vertex form:
y=2x^2+11x+8
Click here to see answer by jim_thompson5910(35256)

Question 549655: In the accompanying diagram of parallelogram
ABCD, m∠A = (2x + 10) and m∠B = 3x. Find the
number of degrees in m∠B.
Click here to see answer by nyc_function(2741)

Question 549658: In the accompanying diagram of parallelogram
ABCD, m∠A = (2x + 10) and m∠B = 3x. Find the
number of degrees in m∠B.
Click here to see answer by nyc_function(2741)

Question 550027: A multiple choice test consists of 10 questions, each question with five possible answers but only one correct answer. In how many different ways can a student check off one answer to each question? In how many different ways can a student check off one answer to each question and get all the answers wrong?
Click here to see answer by stanbon(75887)

Question 549686: john travelled 400 km from manipulate to a nearby proving. if in returning home he reduced his speed by 96m and able to reach manipulate 2 hours more time than going to the proving, what was his original speed?
Select a natural numbers between 1 to 50. square the digits and add. repeat this process until you see a pattern.
what other numbers end with one?
what happen if you do the process to number 37?
what conclusion can you give?

Click here to see answer by mananth(16946)

Question 550108: If 9x+18 = 16x and bx = 99, what is the value of b?

Click here to see answer by jim_thompson5910(35256)

Question 550111: What is the sum of all positive integer values of n such (n+20)/n is an integer ?
Click here to see answer by jim_thompson5910(35256)

Question 550112: The natural number n is the smallest number satisfying the following properties: when divided by 3 remainder is 1,when divided by 4 remainder is 2,when divided by 5 remainder is 3,when divided by 6 remainder is 4,what is the remainder in case of division by 7?
Click here to see answer by ankor@dixie-net.com(22740)

Question 550157: An express train makes a run of 240 km at a certain speed.Another train whose speed is 12 km/hr less takes an hour longer to cuver the same distance. Find the speed of the express train in km/hr.
Click here to see answer by lwsshak3(11628)

Question 550159: A school community had planned to reduce the number of grade 9 students per class room by constructing additional calss rooms. However, they constructed 4 less rooms than they planned. As the result, the number of students per class was 10 more than they planned. If there are 1200 grade 9 students in the school, determine the current number of class rooms and the number of students per class.
Click here to see answer by stanbon(75887)

Question 550156: In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced to 200km/hr and the time increased by 30 minutes. Find the duration of the flight.
Click here to see answer by Alan3354(69443)

Question 550155: A piece of cloth costs 200 us. if the price was 5 meter longer, and the cost of each meter of cloth was 2 us less, the cost of the piece would have remained unchanged. how long is the piece and what is its original price per meter?
Click here to see answer by josmiceli(19441)

Question 550321: Simplify each expression
(6b^2+2b^4+8b^3+3b)-(4b^3-7+7b^4-6b^2)-(b+6b^3+3-2b^2)
Click here to see answer by jim_thompson5910(35256)

Question 550322: solve the equation
1/5(x-10)+2/5=-x/3
Click here to see answer by jim_thompson5910(35256)

Question 550222: if a man travels at the speed of 40km/hr then he reaches the office 5min late and if he travels at the speed 50km/hr then he reaches 3min early,find the distance and time?
Click here to see answer by ankor@dixie-net.com(22740)

Question 550377: A man bought a certain number of chairs for Rs 10,000.He kept one for his own use and sold the rest at the rate Rs 50 more than he gave for one chair.Besides getting his own chair for nothing,he made a profit of Rs 450.How many chairs did he buy?pls...help me.
Click here to see answer by fcabanski(1391)

Question 550387: 6500 us were divided equally among a certain number of persons. had there been 15 more persons, each would have got 30 us less. find the original number of persons.
Click here to see answer by JBarnum(2146)

Question 550388: a person on tour has 360 us for his daily expenses. if he extends his tour for 4 days , he has to cut down his daily expense by 3 us. find the original duration of the tour.
Click here to see answer by JBarnum(2146)

Question 550396: The speed of a motor boat in still water is 60kph. It goes 100km up the river and then comes the 100km back in a total of 12 hours. what is the speed of the current of the river?
A caregiver earns Php150,000 a month in the USA. He spends 5% of his income for food, 10% for clothes, entertainment, and other miscellaneous items. He also spends 15% for the tuition fees of his children and 20% for food of his family in the Philippines. How much did he save for a month?
Click here to see answer by josmiceli(19441)

Question 550389: an express train makes a run of 240 km at acertain speed. Another train whose speed is 12 km/hr less takes an hour longer to cover the same distance. find the speed of the express train in km/hr.
Click here to see answer by josmiceli(19441)

Question 550390: the speed of a boat in still water is 15 km/hr. it needs four more hours to travel 63 km against the current of a river than it needs to travel down the river. Determine the speed of the current of the river.
Click here to see answer by scott8148(6628)

Question 550395: Can you show me the sign and how to solver the equation by analysis into the sum of square?
Click here to see answer by Alan3354(69443)

Question 550607: evaluate x^3 when x=5
Click here to see answer by Alan3354(69443)

Question 550612: simplify (5h^9)^6
Click here to see answer by jim_thompson5910(35256)

Question 550687: When you solve a quadratic equation, what information does your solution give you?
Click here to see answer by stanbon(75887)

Question 550671: Which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring?
-b b2 - 4ac 2a
Use the part of the quadratic formula that you chose above and find its value given the following quadratic equation:
2x2 + 7x + 3 = 0

Click here to see answer by stanbon(75887)

Question 550041: A committee which consists of two mathematicians and three scientists will be formed from four mathematicians and six scientists. How many possible committees can be formed if:
a. any of the mathematicians and scientists are included?
b. one particular scientist must be in the committee?
c. two particular mathematicians must be in the committee?
d. two particular scientists must not be in the committee?

Click here to see answer by stanbon(75887)

Question 550690: What does it mean if your solution is a complex number? Explain what a complex solution means both algebraically and graphically.
Click here to see answer by richard1234(7193)

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