Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)

Question 387749: solve t/5-5/t=0 The solutions are ____ ? Or the equation has no solution?
Click here to see answer by Earlsdon(6294)

Question 387735: Please help me solve this equation 5x^2+17x-12/x^4-256
Click here to see answer by Earlsdon(6294)

Question 387723: In solving the equation (x 1)(x 2) = 30, Eric stated that the solution would be
x 1 = 30 => x = 31
or
x 2) = 30 => x = 32
(x-2)(x-1)=30,x^2-2x-x+2=30,x^2-3x+2-30=0since x^2-3x-28=0 by factorization x^2+4x-7x-30=0,x(x+4)-7(x+4)=0 thrfr (x-7)(x+4)=0hence x=7
However, at least one of these solutions fails to work when substituted back into the original equation. Why is that? Please help Eric to understand better; solve the problem yourself, and explain your reasoning.
Click here to see answer by Earlsdon(6294)

Question 387724: . If a stone is tossed from the top of a 350 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2 � 10t + 350, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth�s place; include units in your answer.
Click here to see answer by Earlsdon(6294)

Question 387765: I can't seem to get this right, please help?
Use polynomial long division to divide
-4x3 + 24x2 � 24x + 4
by
x2 � 5x + 1
Click here to see answer by jsmallt9(3758)

Question 387765: I can't seem to get this right, please help?
Use polynomial long division to divide
-4x3 + 24x2 � 24x + 4
by
x2 � 5x + 1
Click here to see answer by josmiceli(19441)

Question 387747: solve: x-9/x+1=3/7 =7(x-9)/3(x+1)=1,7x-63=3x+3,7x-3x=3+63,4x=66therefore x=66/4=16.5
Click here to see answer by irshad_ahmed0@yahoo.com(7)

Question 387764: I am completely lost! Please Help?
If a stone is tossed from the top of a 350 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2 � 10t + 350, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth�s place; include units in your answer
Click here to see answer by jsmallt9(3758)

Question 387838: find the difference y/4-4/y
Click here to see answer by user_dude2008(1862)

Question 387902: Polynomial Division:
Find the quotient and remainder for the following polynomial divisions.
1. (x4 + 4x3-8x2+2x-5) divided by (x-3)
Click here to see answer by rfer(16322)

Question 387748: Solve: x/x+8-x/x-8=x^2+64/x^2-64
Click here to see answer by tammy.oates@yahoo.com(1)

Question 387956: (8x)^-2 write with positive exponents and then simplify
Click here to see answer by jim_thompson5910(35256)

Question 387955: (8x)^-2 write with positive exponents and then simplify
Click here to see answer by jim_thompson5910(35256)

Question 387940: Multiply. Write your answer in lowest terms.
(5x/6w) * (15wx/2x)
Click here to see answer by rfer(16322)

Question 387954: 24x^2-8x^3-16x^4/-16x^3 find the quotient
Click here to see answer by robertb(5830)

Question 387984: How do I solve the following equation?
2/3x + 1/2x = 7/24
Click here to see answer by rfer(16322)

Question 388001:
Click here to see answer by KAS(2)

Question 387942: Subtract and simplify:
(2/x^2 - 2x - 8) - (1/x^2 - 5x + 4)
Click here to see answer by ewatrrr(24785)

Question 387948: x+1/x^2-16 divided by 5x+5/x+4
Click here to see answer by jsmallt9(3758)

Question 387939: Simplify:
(y^2 + 4y + 3)/(6y^2 - 12y - 90)
Click here to see answer by Fombitz(32388)

Question 387937: Add and simplify:
(2/3x^2 - 14x + 16) + (1/3x^2 - 17x + 24)
Click here to see answer by Jk22(389)

Question 388000: (-8/3a)*(2b/-9) =

Click here to see answer by Fombitz(32388)

Question 387746: Solve by adding and simplifying: 2v/v^2-1+v/v-1
Click here to see answer by Fombitz(32388)

Question 387897: Express as a single fraction in lowest terms:
1 - (2w - 6y/5w) + (4w - y/2w)
Click here to see answer by ewatrrr(24785)

Question 388045: Solve the following equation for w:
1/w + 7 = -4
Click here to see answer by Fombitz(32388)

Question 388047: Solve for v:
(v + 1/v + 3) = (v - 6/v - 1) +1
(If there is more than one solution, separate with commas.)
Click here to see answer by solver91311(24713)

Question 388135: Find a polynomial equation with real coefficients that has the given roots.
-1,4,-2i
Click here to see answer by robertb(5830)

Question 388134: Find each product.
[x-(3-i)][x-(3+i)]
Click here to see answer by robertb(5830)

Question 388206: Write a quadratic equation that has the given solutions:
1 and 3

Click here to see answer by robertb(5830)

Question 388204: A rectangle has an area given by A = x2 + 5x + 6
Find an expression for the possible width of the rectangle.
Click here to see answer by aggie_tutor(13)

Question 388205: Write a quadratic equation that has the given solutions:
3 and 2

Click here to see answer by Jk22(389)

Question 388202: A rectangle has an area given by A = x2 + 5x + 6
Find an expression for the possible length of the rectangle.
Click here to see answer by jsmallt9(3758)

Question 388194: The number of long distance call between two citties in a certain time period varies jointly as the population of the cities p1 and p2 and inversely as the distance between them. If 60,000 calls are made between two cities 400 miles apart, with populations of 60,000 and 70,000. How many calls are made between cities with population of 90,000 and 95,000 that are two mile apart?
Click here to see answer by mananth(16946)

Question 388201: The profits of a company are found by subtracting the company's
costs from its revenue. If a company's cost can be modeled by
14x + 120,000 and its revenue can be modeled by 40x - 0.0002x2,
what is an expression for the profit?
Thank you for all help!
Click here to see answer by jsmallt9(3758)

Question 388153: Reduce the following rational expression to its lowest terms:
(4x^4 y^3) / (4v^3 y^4 - 20y)
Click here to see answer by jsmallt9(3758)

Question 388147: simplify 2a2b3(4a2+3ab2-ab)
Click here to see answer by Fombitz(32388)

Question 388150: Multiply and simplify:
(x^2 - 4x + 3/4x + 4) * (x + 1/x^2 + 2x - 3)
Click here to see answer by Jk22(389)

Question 388154: Express as a single fraction in lowest terms:
(-5) + (7u + 3y/2u) - (5u - 3y/3u)=5+(7u*2u+3y*1)/2u -(5u*3u-3y*1)3u=5+(14u^2+3y)2u -(15u^2-3y)/3u=(5*6u+3*14u^2+3*3y-2*15u^2+2*3y)/6u=(30u+42u^2+9y-30u^2+6y)/6u=(12u^2+30u+15y)/6u=2u+5+2.5y/u
Click here to see answer by irshad_ahmed0@yahoo.com(7)

Question 388275: how would you solve 5x^2-18x+9
Click here to see answer by Fombitz(32388)

Question 388276: how can you simpilfy 5x^2-18x+9
Click here to see answer by Fombitz(32388)

Question 388276: how can you simpilfy 5x^2-18x+9
Click here to see answer by Alan3354(69443)

Question 387947: x+2/x-2 - 16/x^2-4
Click here to see answer by Fombitz(32388)

Question 388297: (3c^d-d^3+1)8cd^2
Click here to see answer by Fombitz(32388)

Question 388282: The length of the smaller rectangle at the right is 1 inch less than twice its width. Both the dimensions of the larger rectangle are 2 inches longer than the smaller rectangle. The area of the shaded region is 86 square inches. What are the dimensions of the smaller rectangle?

Click here to see answer by solver91311(24713)

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, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105