Questions on Algebra: Radicals -- complicated equations involving roots answered by real tutors!

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Question 545537: Solve for , where is a real number.
(under a radical) -x+6 + (under a different radical) x-5 = 1
(If there is more than one solution, separate them with commas.)

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Question 546144: Solve. Check for extraneous solutions.
Question: Square root of quantity (3x+7)= x - 1
I keep getting x= 2 or -3, but when I check it they numbers dont work out. Please show all the steps.
Thanks!

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Question 546906: rationalize and simplify the square root of 6/5

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Question 546906: rationalize and simplify the square root of 6/5

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Question 547012: if 4 is subtracted from a number the result is equal to the square root of 2 more than the number

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Question 547087: 1/3of the principal square root of a number is 5. what is the number?

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Question 547134: solve by completing the square
x^2-6x-4=0
simplify your answer. type an exact answer using radicals as needed. use integers or fractions for any numbers in the expression. use a comma to seperate answers as needed.

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Question 547137: use the quadratic formula to solve the following equations
(r-2)(r+6)=11
simplify your answer. type an exact answer using radicals as needed. use integers or fractions for any numbers in the expression. use a comma to seperate answers as needed.

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Question 547135: x^2+8x+5=0
simplify your answer. type an exact answer using radicals as needed. use integers or fractions for any numbers in the expression. use a comma to seperate answers as needed.

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Question 547807: x-sqrt%282x%29-4=2
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Question 548269: The ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250. The sum of the numbers is :
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Question 548514: The current of a stream moves at a speed of 5km/hr. The boat travels 31 km upstream and 31 km downstream in a total time of 11 hours. What is the speed of the boat in still water?
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Question 548513: A picture frame measures 26 in. by 24 in.. There is 575 in. squared of picture showing. The frame is of uniform thickness. Find the thickness of the frame.
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Question 548516: The speed of an airplane still in the air is 203 km/hr. The plane travels 666 km against wind and 769 km with the wind in a total time of 11 hours. What is the speed of the wind (km/hr.)?
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Question 548834: How do you write (3/4)^5/6 as a radical?
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Question 548960: simplify by rationalizing the denominator
x/sqrtx-3
completely factorise the following
3x^2-3x-18
Simplify
2x-2/x^2-2x-8 / x^2-1/x^2+5x+4

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Question 549062: How would you simplify these equations?
+sqrt%28+81x%5E4+y%5E5+%29+
+sqrt%28+12x%5E7+y%5E3+%29+
+-+sqrt+%28+100x%5E37+y%5E8+%29+

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Question 547474: i need help in solving rational exponets like this (1/16) TO THE 1/4 POWER how do you solve that
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Question 544255: How can you write "the cubed root of 2/3xy" with a rationalized denominator?
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Question 548248: (8/125) 1/3
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Question 549764: I am having trouble can you help
Find a polynomial of degree 3 with roots 5, -2+4i
Find a polynomial of degree 4 with roots 3-2i, 2+i

thanks so much for your help

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Question 549764: I am having trouble can you help
Find a polynomial of degree 3 with roots 5, -2+4i
Find a polynomial of degree 4 with roots 3-2i, 2+i

thanks so much for your help

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Question 549770: I just asked a question about
Find a polynomial of degree 4 with roots 3-2i, 2+1
the multiple choices i have to choose from are
x^4-10x^2-96x+32
x^4-10^3+42x^2-82x+65
x^4-3x^3+4x^2-5x+81
x^4-112x^3+52x^2-2x+5
thanks for help

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Question 549789: Divide: (5+3i)/(6-2i)
here are the multiple choice answer I have to pick from
3/5+7/10 i
3/2+7/2 i
2+7/10 i
3/11+8/11 i
thanks
s

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Question 549789: Divide: (5+3i)/(6-2i)
here are the multiple choice answer I have to pick from
3/5+7/10 i
3/2+7/2 i
2+7/10 i
3/11+8/11 i
thanks
s

Click here to see answer by Alan3354(69443) About Me 

Question 549830: Find a polynomial of degree 3 with roots 5, 3+4i
multiple choice question here are the choices I have to choose from
x^3-11x^2-6x+5
x^3-22x^2+34x-45
x^3-11x^2+55x-125
x^3-81x^2+50x-3

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Question 549833: I did look at question 549764 but I still can not figure out what needs to be done to get the choices that I have to choose from
find a polynomial of degree 3 with roots 5, 3+4i
x^3-11x^2-6x+5
x^3-22x^2+34x-45
x^3-11x^2+55x-125
x^3-81x^2+50x-3

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Question 550243: 2x^2-5y^2=-12
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Question 550728: Sqrt (3)and 5/9=?
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Question 550901: simplify sqrt( 50x^5 ) please show steps
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Question 550901: simplify sqrt( 50x^5 ) please show steps
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Question 550915: simplify cube root 54 x^10 please show steps and help me to understand why the steps work
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Question 550915: simplify cube root 54 x^10 please show steps and help me to understand why the steps work
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Question 551312: Please help me solve for the unknown: +sqrt+%28+x+%2B+11+%29+=+sqrt+%28+x+%29+%2B+1+
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Question 550980: What is 3 to Radical 2 + 5 to Radical 6
2 to Radical 3 + 2. This is in the form of a fraction. So (3_/2) + (5_/6
The number 2 has the square root sign next to it. (2_/3) + 2= Not very good at drawing the Radical symbol but it is a 3/2+
5/6. With Radical sign next to the number 6
Square root or {Radical sign next to the 2} 2/3 Radical sign next to 3+ 2 with no radical sign

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Question 551790: √98+√32x-√2+√50x
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Question 551684: Write the inverse variation equation of the following. Y varies inversely with x and y = 9 when x = 14
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Question 551998: the square root of 2/7
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Question 552025: express 5 square root 3x^3 minus 2 square root 27x^3 in simplest radical form
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Question 552365: what is 16 3/2
what is 8 4/3
what is (-27)-5/3
what is 9-3/2
what is 16 -3/4
what is 12 1/2
what is (-27) 4/3
what is 18 3/2
what is (-8)- 4/3
what is 12 3/2
what is (-125) 2/3
what is 32 1/2 *32 1/2
what is 2 4/3 * 2 1/3
what is -8 5/3 / -8 4/3

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Question 552488: how to simplify this radical:
square root of 256 a^2 b^8 c^4.

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Question 552804: hi! my name is josh and i need some help solving some of these radicals. i cant seem to remember how to do these at all...it would be great if you could go step by step on the ones i need help with.
i have 625 over 100 and its in a square root. do i simplify this first?

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Question 553027: Need the steps in how to solve w=Cr-^2 solving for r
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Question 553043: how do you simlify the radical expression of -3 times the square root of 120
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Question 553154: I have two questions it says review the expressions below, In a paragraph, describe how to simplify each expression.

1. 16to the power of 1/2. Now i need you to understand that the 1/2 is above the 16 its little so you get it right.
2. this one im not sure how im suppose to show you it has like a check mark and a line then under the line it has 100 im not sure what that is called im sorry but the check mark is hooked on the line if that helps you at all sort of looks like a old style division problem almost.

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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