Questions on Algebra: Equations answered by real tutors!

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Question 48211: Find the imaginary solutions of the equation.
5x%5E2%2B3x%2B6=0

Click here to see answer by stanbon(75887) About Me 

Question 48250: add or subtract as indicated, express your results in simplest form
5a-12/a^2-8a+15 - 3a-2/a^2-8a+15

Click here to see answer by tutorcecilia(2152) About Me 

Question 48248: add or subtract as indicated, express your results in simplest form
5/4cd + 11/4cd

Click here to see answer by checkley71(8403) About Me 

Question 48288: Use the discriminant to determine if the equation can be solved by factoring. If the equation can be solved by factoring, then factor it.
9k%5E2%2B6k%2B1=0

Click here to see answer by venugopalramana(3286) About Me 

Question 48340: Rewrite the middle term as the sum of two terms and then factor completely

15x^2 + 17x + 4

Thank You!

Click here to see answer by Nate(3500) About Me 

Question 48287: Find the value of k so that the equation will have exactly on rational solution.
36x%5E2%2Bkx%2B49=0

Click here to see answer by stanbon(75887) About Me 

Question 48286: Solve the equation by completing the square.
7r%5E2%2B24r=-15

Click here to see answer by Nate(3500) About Me 

Question 48420: Can someone show me how to solve the following equation for "x"? thanks.
y%2F%28x%2B1%29=+z%2Fx

Click here to see answer by Nate(3500) About Me 

Question 48421: Can someone help me with this i've tried and i am not ending up with the right solutions.
"Show that each equation is TRUE by SIMPLIFYING the following:"
a.) 1%2F%28sqrt%28x%29%2Bsqrt%28y%29%29=%28sqrt%28x%29-sqrt%28y%29%29%2F%28x-y%29
b.) %28sqrt%28x%2Bh%29-sqrt%28x%29%29%2Fh=1%2F%28sqrt%28x%2Bh%29%2Bsqrt%28x%29%29
c.) %28x-y%29%2F%28sqrt%28x%29%2Bsqrt%28y%29%29=sqrt%28x%29-sqrt%28y%29
d.) %28sqrt%28x%2B4%29-2%29%2Fx=1%2F%28sqrt%28x%2B4%29%2B2%29
Please help i dont understand how to show that the equation is true by simplifying, i've tried but nothing i've done has came out right.

Click here to see answer by tutorcecilia(2152) About Me 

Question 48448: Use the discriminant to determine if the equation can be solved by factoring. If the equation can be solved by factoring, then factor it.
9k%5E2%2B6k%2B1=0

Click here to see answer by Nate(3500) About Me 

Question 48446: Find the imaginary solutions of the equation.
5x%5E2%2B3x%2B6=0

Click here to see answer by Nate(3500) About Me 

Question 48444: Solve the equation by completing the square.
21d%5E2%2B34d%2B8=0

Click here to see answer by Nate(3500) About Me 

Question 48519: I need help with this. I don't know where to begin.
Factor: -1x^2+6xy+9y^2

Click here to see answer by checkley71(8403) About Me 
Question 48519: I need help with this. I don't know where to begin.
Factor: -1x^2+6xy+9y^2

Click here to see answer by cowess(34) About Me 

Question 48532: I need help!!! I cannot solve the following questions and my summer school teacher is not helpful (I cant understand a word he says).
1. Simplify 2xsquared+3x-(4xsquared-6x)+(9-2x)
2. solve 5y+2=2(y-6)

Click here to see answer by checkley71(8403) About Me 

Question 48548: Number of Worker Number of Radios Built
1 13
2 26
3 39
4 52
Define variables and write an equation to model the relationship in each table

Click here to see answer by Nate(3500) About Me 

Question 48562: Use the square root property to solve the equation.
%28x%2B9%29%5E2-2=0

Click here to see answer by algebrapro18(249) About Me 

Question 48560: Please solve the equation.
%28k%29%2F%287-k%29-%282%29%2F%28k%29=3

Click here to see answer by algebrapro18(249) About Me 

Question 48557: Solve the equation for the indicated variable. (Leave ± in your answer, when appropriate.)
rm=t%5E2-mt for t

Click here to see answer by algebrapro18(249) About Me 

Question 48574: This might not be the right section, but here it goes: I'm taking a C++ programming class now and they just skimmed over reviewing math.
What does the following mean in a problem?
&&
== // I think I got this, means 'is exactly equal to'.
the ! in !(blah blah blah)
and ll (two vertical lines)
Thanks,
John

Click here to see answer by longjonsilver(2297) About Me 

Question 48616: How do you solve 2(-4)^2?
Click here to see answer by caroline(3) About Me 

Question 48615: How do you solve 4-3(12+2)?
Click here to see answer by caroline(3) About Me 

Question 48614: How do you solve (-5)(-3)(+2)?
Click here to see answer by tutorcecilia(2152) About Me 
Question 48614: How do you solve (-5)(-3)(+2)?
Click here to see answer by checkley71(8403) About Me 

Question 48613: How do you awnser 9+3-18?
Click here to see answer by checkley71(8403) About Me 

Question 48648: solve and check the following equation for x.
x/6 - x/8=1

Click here to see answer by checkley71(8403) About Me 

Question 48646: Kevin earned $165 interest for 1 year on an investment of $1500. at the same rate, what amount of interest would be earned by an investment of $2500?
Click here to see answer by checkley71(8403) About Me 

Question 48644: A plane flies 720 mi against a steady 30-mi/h headwind and then returns to the same point with the wind. If the entire trip takes 10h, what is the plane's speed still in the air?
Click here to see answer by checkley71(8403) About Me 

Question 48680: A,B and C can finish a job in 6 days. If B and C work together, the job will take 9 days; if A and C work together, the job will take 8 days. In how many days can each man working alone do the job?
Multiple Choice:
A. A in 9 days, B in 1 day, and C in 8 days
B. A in 18 days, B in 24 days, and C in 14 2/5 days.
C. A in 20 1/2 days, B in 16 days, and C in 25 days.
D. A in 25 days, B in 12 2/3 days, and C in 28 days.

Click here to see answer by stanbon(75887) About Me 

Question 48679: A person traveling 4 hrs by plane and 25 hrs by ship covers 1580 miles. If the speed of plane had been one-half of the actual speed and the speed of the ship had been one-fourth greater, the person would have traveled only 1315 miles in the same length of time. Find the speeds of the plane and the ship.
Thanks A Bunch!

Click here to see answer by venugopalramana(3286) About Me 

Question 48706: I have one more for you Stan, thanks for the last one. Here it goes.
What amount of each mixture, one 95% alcohol and the other 15% alcohol, must be used to make 10 liters of a mixture which is 45% alcohol? What equation or equations will express this problem?
A. 0.95x + 0.15y = 10 0.45(x+y) = 0.45 x 10

B. 0.95x + 0.15x = 0.45
C. 0.95x + 0.15(10 - x)= 0.45 x 10
D. x + y = 10 0.45x + 0.95y = 0.45 x 10

Click here to see answer by stanbon(75887) About Me 

Question 48710: How do you sove: x^2-2x+7 if x=3

Click here to see answer by stanbon(75887) About Me 

Question 48652: solve the following equation for x.
2/5 + x-2/20

Click here to see answer by checkley71(8403) About Me 

Question 48751: solve the following equation for x.
2/5=x-2/20

Click here to see answer by checkley71(8403) About Me 

Question 48741: How do I figure out 43x = x ?
Click here to see answer by longjonsilver(2297) About Me 

Question 48793: How do you solve: (x+2)(x-3)?
Click here to see answer by dead_famous1991(7) About Me 

Question 48791: How do you solve: 8(x+3)?
Click here to see answer by dead_famous1991(7) About Me 

Question 48794: How do you solve: 6x+8/2?
Click here to see answer by checkley71(8403) About Me 

Question 48792: How do you solve: 3(x^2+2x-1)?
Click here to see answer by checkley71(8403) About Me 

Question 48757: 3-2/5 x=6
Click here to see answer by checkley71(8403) About Me 

Question 48846: I need to know how to solve this problem:
-3(3x-15)-(10+x)=35

Click here to see answer by checkley71(8403) About Me 

Question 48841: Adult tickets for a play cost $17 and child tickets cost $8. If there were 24 people at a performance and the theater collected $363 from ticket sales, how many children attended the play?
I come up with 6 children but I do not think it is correct....please help

Click here to see answer by checkley71(8403) About Me 

Question 48834: Simplify: 8x-17x+23x-36x
Click here to see answer by checkley71(8403) About Me 

Question 48882: factor completely: 6m^2n - 12mn^2 + 18mn
Click here to see answer by checkley71(8403) About Me 

Question 48883: solve: Find the number.
Click here to see answer by rajagopalan(174) 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, 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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, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580