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

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Question 624872: Solve the following equation by using an appropriate substitution
(x^2-x)^2-18(x^2-x)+72=0

Click here to see answer by Maths68(1474) About Me 

Question 624934: Please someone help me with this problem : In solving the equation (x+3)(x-3)- 8, Eric stated that the solution would be
x + 3 - -8 - 7x = -11
or
(x - 3) = -8 =7x = -5
However, at least one of these solutions fails to work when substituted bach into the original equation. Why is that? Please help Eric solve the problem

Click here to see answer by Alan3354(30993) About Me 

Question 624936: Please someone help me with this problem: If a stone is tossed from the top of a 170 meter building, the height of the stone as a function of time is given by h(t) = -9.8ft^2 - 10t + 170.
where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundreth place, include units in your answer.

Click here to see answer by Alan3354(30993) About Me 

Question 624941: Please can someone help me with this problem:
solve using substitution method. If the system has no solution or an infinite number of solutions state this.
3x + 24y = 24
27x - 15y = -15

Click here to see answer by MathTherapy(1425) About Me 

Question 625010: What degree would a polynomial of lowest degree be with rational coefficients which has 2, 31/2 , and 2i as zeroes?
Click here to see answer by jim_thompson5910(28598) About Me 

Question 624615: A triangle is 8cm wider than it is tall the area is 280cm^2. find the width
Click here to see answer by Aztec(6) About Me 

Question 625084: If one zero of the function y= x^2 + mx + n is the square of the other, without finding the zeroes, prove that m^3 = n(3m - n - 1).
Thanks in advance.
P.S: Is there a method of proving without substitution involved?

Click here to see answer by oscargut(891) About Me 

Question 624942: Please can someone help me with this problem:
Solve using the elimination method.
14x + 18y = -54
-4x - 14y = 42

Click here to see answer by opeodu(24) About Me 

Question 625095: Factorise : (a-2b)^3-512b^3
Click here to see answer by jsmallt9(3296) About Me 

Question 625067: 3Y(4Y+3)(5Y-2)
Click here to see answer by asuar010(324) About Me 

Question 623896: Simplify the given expression (4r-s)-(r+2s)+(3r-s)
Click here to see answer by asuar010(324) About Me 

Question 625180: muultiply the expression and simplify (8x^3y^-3)x(3x^3y^-3)
Click here to see answer by oscargut(891) About Me 

Question 625177: Please help me solve this equation 3a%2B10%2F15x%5E2+%2B+38x+-+40
Click here to see answer by Alan3354(30993) About Me 

Question 625192: I NED HELP
Add or subtract as indicated
(-5r+2y-12)+(6r^2+8y-4)

Click here to see answer by Alan3354(30993) About Me 

Question 625206: evaluate the polynomial for x=-2
x^5+3x^2-6

Click here to see answer by Alan3354(30993) About Me 

Question 625205: if x=3 what is the evaluation for this polynomial

2x^3-3x^2+1

Click here to see answer by jim_thompson5910(28598) About Me 

Question 625204: Decimals are so tricky. Any help?
"Add"
7.2x^2-3x+4
-
1.3x^2-6x-1.5
______________

Click here to see answer by jim_thompson5910(28598) About Me 

Question 625208: simplify each expresiion
3b• (-6b^4)

Click here to see answer by rfer(12670) About Me 

Question 625339: Solve for {(x+3) + y}^3
Click here to see answer by jsmallt9(3296) About Me 

Question 625271: Place the indicated product in the proper location on the grid.
(x^2 + 4)(x^2 - 4)

Click here to see answer by jsmallt9(3296) About Me 

Question 625244: Which of the following is equal to the rational expression when x≠4 or -9?
(x-4)(x+11)/(x+9)(x-4)

Click here to see answer by jsmallt9(3296) About Me 

Question 625389: write f(x)=2x-5-3x^4+x^3 in standard form
Click here to see answer by jsmallt9(3296) About Me 

Question 625325: To collect funds, the organization is holding a football match between teachers and varsity players. Each ticket costs 2x + 3y for students and 3x - 5y for non-students. What is the total earning if 2x - 3y students and 3x + 5y non-students would attend?
Click here to see answer by jsmallt9(3296) About Me 

Question 625525: I need to simplify this as much as possible:
(s+(1)/(4))*(s+(1)/(3))
In other words (s + (one-fourth))*(s + (one-third)) =
I got ((3s+1)(4s+1))/(12) as a fraction - Am I right or did I miss something?
Thank you!

Click here to see answer by Maths68(1474) About Me 

Question 625495: I need help solving this equation.
x^2+6x-28=3(x-8)

Click here to see answer by lwsshak3(6521) About Me 

Question 625532: Find the product for these expressions:
1. {(x+3) + y}^3
2. (a^(x+1) + b^(x-2))(a^(x+1) - b^(x-2))
In number 2, I came up with a^(x+1)^2 - b^(x-2)^2 but am little apprehensive about this. I hope you can enlighten me on both numbers.

Click here to see answer by jsmallt9(3296) About Me 

Question 625682: 1. c=rd
2. 2(x+3)=0
3. x+3x²=0
4. x+y=5
5. 3x-2=0
6. x²-2x-5=0

Click here to see answer by solver91311(16897) About Me 

Question 625687: solve by the quadractic formula. simplify your answers x^2-3x-1=0
Click here to see answer by jim_thompson5910(28598) About Me 

Question 625639: x^2+3x+2/-3x-x^2-2
Click here to see answer by opeodu(24) About Me 

Question 625757: simplify the following exprerssion √-11 √-55
Click here to see answer by josmiceli(9697) About Me 

Question 625898: Please help! Solve by using quadratic formula +ax%5E2%2Bbx%2Bc=0+.
+6x%5E2-2x-1=0+

Click here to see answer by jim_thompson5910(28598) About Me 

Question 625897: Please help! Solve by using quadratic formula +ax%5E2%2Bbx%2Bc=0+.
+4x%5E2%2Bx-1=0+

Click here to see answer by jim_thompson5910(28598) About Me 

Question 625896: Please help! Solve by using quadratic formula +ax%5E2%2Bbx%2Bc=0+.
+x%5E2-3x-1=0+

Click here to see answer by jim_thompson5910(28598) About Me 

Question 625893: Please help! Solve and check the radical equaiton.
+sqrt%285x%5E2-3x%29=2x+

Click here to see answer by lwsshak3(6521) About Me 

Question 625891: Please help! Solve and check the radical equation.
+sqrt%28y%2B10%29=y-2+

Click here to see answer by lwsshak3(6521) About Me 

Question 625890: Please help! Simplify by rationalizing the denominator.
+y%2F%28sqrt%287%29%2Bsqrt%283%29%29+

Click here to see answer by Alan3354(30993) About Me 
Question 625890: Please help! Simplify by rationalizing the denominator.
+y%2F%28sqrt%287%29%2Bsqrt%283%29%29+

Click here to see answer by lwsshak3(6521) About Me 

Question 625885: Please help! Simplify.
+%284x%2Fy%5E3%29%5E-3+

Click here to see answer by Alan3354(30993) About Me 

Question 625889: Please help! Simplify by rationalizing the denominator.
+5%2Fsqrt%287%29+

Click here to see answer by Alan3354(30993) About Me 

Question 625888: Please help! Multiply and simplify. Assume that all variables represent nonnegaitve real numbers.
+%28sqrt%285%29%2B4%29%28sqrt%285%29-1%29+

Click here to see answer by Alan3354(30993) About Me 

Question 625886: Please help! Combine. Assume that all variables represent nonnegative real numbers.
+sqrt+%2875a%5E3%29+%2B+%28a%29+sqrt+%2812a%29+

Click here to see answer by Alan3354(30993) About Me 

Question 625970: Find the zeros of the polynomial function. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
P(x) = (x − 4)^2(x + 6)
x = ?

Click here to see answer by lwsshak3(6521) About Me 

Question 626011: 10^(1/2) * 10^(1/3)
soultion

Click here to see answer by josmiceli(9697) About Me 

Question 626057: Simplify of Polynomials:
Problem:
0.1 a^2 + 5 - (0.3a^2 +a-6)
Your Solution:
Here is what I got:
0.1 a^2 +5- (.3a^2 +a-6)
0.1a^2 +5+ - 0.3a^2-a+6
-02a^2 +11-a
answer:
-0.2a^2-a+11
Am I correct or am I wrong? How would I go about checking my solution?
Thanks in Advance for your assistance!

Click here to see answer by Alan3354(30993) 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, 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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