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

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Question 142448: Please help me!!! I have 2 1/2 weeks worth of work to get done before time runs out, but I am stuck on this question...
Instructions say to solve the radical equation...
6-√2x=-2
I appreciat any and all help!!!

Click here to see answer by ptaylor(2198) About Me 

Question 142436: Okay, the instructions say to Solve the Radical Equation...
6-√2x=-2
I know how to solve Radical Equations, but we were not told how to do ones that had a negative sign before the √. I really appreciate your help.

Click here to see answer by ilana(307) About Me 

Question 142476: # If x2-x+1=0 is a factor of ax3+bx2+cx+d=0 then
a) d - a = b - 2c
b) a - d = b + 2c
c) a + d = b - 2c
explain clearly.........

Click here to see answer by MathLover1(20849) About Me 

Question 142543: My math final is tomorrow and I am trying to solve this problem on the study guide.
7x%5E%285%2F3%29=36
Thank you so much to anyone who can help!!!

Click here to see answer by jim_thompson5910(35256) About Me 
Question 142543: My math final is tomorrow and I am trying to solve this problem on the study guide.
7x%5E%285%2F3%29=36
Thank you so much to anyone who can help!!!

Click here to see answer by bebedeeb(7) About Me 

Question 142722: Studying for final tomorrow having trouble understanding how to simplify radical equations. Need help fast please.
example:6√7 - 2 √28
and
√32 ∙ √144

Click here to see answer by Edwin McCravy(20054) About Me 
Question 142722: Studying for final tomorrow having trouble understanding how to simplify radical equations. Need help fast please.
example:6√7 - 2 √28
and
√32 ∙ √144

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

Question 142715: its
x+56=x with a square root over the top of the x + 56 part

Click here to see answer by edjones(8007) About Me 

Question 143102: (square root of x) +4=(square root of x+16)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 143118: Solve algebraically.
√(x^2+5x+11) = x+3
The book says x=2, but I cannot for the life of me figure out how they got there. I just confuse my brother as I try to help.
Thx

Click here to see answer by Earlsdon(6294) About Me 

Question 143092: 12/√6
Click here to see answer by nabla(475) About Me 

Question 143112: Please I need help with this radical equation:
The Square root of 7s - 20 = 6

Click here to see answer by nabla(475) About Me 

Question 143247: Simplify the radical √20/√4
I think I did this problem the right way, I just want to make sure I am since I have several of these to do. Here are my steps...
√20 = √4X5 = 2√5
√4 = 2
2√5/2 (You cancel out the 2)
Answer √5

Click here to see answer by checkley77(12844) About Me 
Question 143247: Simplify the radical √20/√4
I think I did this problem the right way, I just want to make sure I am since I have several of these to do. Here are my steps...
√20 = √4X5 = 2√5
√4 = 2
2√5/2 (You cancel out the 2)
Answer √5

Click here to see answer by Mikefailsatmath(1) About Me 

Question 143254: Solve the equation. √96 / x√23 = 1/2
If you could put down all the steps I would appreciate it!!!!

Click here to see answer by jim_thompson5910(35256) About Me 

Question 143240: Solve for a. 2√a-1 = 4√a
If you could show every step I would appreciate it!!!

Click here to see answer by solver91311(24713) About Me 

Question 143490: I wasnt sure how to insert a radicand, so I used/ to represent the radicand I need help with the problem, thank you in advance!
7/45-2/5

Click here to see answer by vleith(2983) About Me 

Question 143530: I just want to make sure I have the right answer, if I don't could you please explain the steps to me.
Problem---Find the perimeter of a rectangle if the dimensions are length √19 + 7 and width √76.
Here is my work
“Sqrt19 + 7”^2 + “sqrt76”^2 = perimeter
19 +7 + 76 = perimeter
26 + 76 = perimeter
102 = Perimeter
Perimeter = 102

Click here to see answer by jim_thompson5910(35256) About Me 

Question 143528: I just want to make sure I have the right answer, if I don't could you please explain the steps to me.
Problem---Find the area of a rectangle whose width is √2 and whose length is √40. Show your work. Write “Sqrt” to show √.
Here is my answer
Sqrt2 X Sqrt40 = Sqrt80
Sqrt80 = sqrt64 X 16
Sqrt 64 X 16 = 8 sqrt16
Area = 8 sqrt16

Click here to see answer by jim_thompson5910(35256) About Me 

Question 143532: Could you please help me with this problem, I think I have the right answer, I just want to make sure that it is.
Problem---Explain in words the steps you would follow to solve √(x- 6)= 5. Give the solution for x.
Here is my answer
Since you cannot separate the terms under the radical until the radical itself is eliminated, you will make the equations on both sides of the sign to the second power. Once this is done sqrtx-6 turns into x-6, and five turns into twenty-five. From here your will add six to both sides, and there is your answer, x=31.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 143637: How long is a guy wire reaching from the top of a 18 ft pole to a point on the ground 12 feet from the pole?
what is the exact length in feet?
what is the length approximated to three decimal places? round to the nearest thousandths. Thank you so much...

Click here to see answer by solver91311(24713) About Me 

Question 143684: what is the value of x: x= The square root of (x-12)
Click here to see answer by rapaljer(4671) About Me 

Question 143787: For the following function, C computes a value, where if you add millions of dollars to the value, the result is the cost of implementing a city recycling project when x , as a percent (not its decimal equivalent), citizens participate.

a) Using this model, approximately what is the cost if 60% of the citizens participate?
Using this model, estimate the percentage of participation that can be expected if $5 million is spent on this recycling project? Set up an equation and solve algebraically. Round to the nearest whole percent.


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

Question 143788: For the following function, C computes a value, where if you add millions of dollars to the value, the result is the cost of implementing a city recycling project when x , as a percent (not its decimal equivalent), citizens participate.

FORMULA- C (x)= 1.5x / 100x
a) Using this model, approximately what is the cost if 60% of the citizens participate






Using this model, estimate the percentage of participation that can be expected if $5 million is spent on this recycling project? Set up an equation and solve algebraically. Round to the nearest whole percent.


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

Question 143962: 6x^2 + 10x = -2
Click here to see answer by nabla(475) About Me 

Question 143960: i cant figure this out.... 4%2Fx%5E4-5%2Fx%5E2%2B1=0
Click here to see answer by nabla(475) About Me 

Question 143967: 3m^2 + 8m + 2 =0
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Question 144038: How do I solve 5 square root 20 + 3 square root 98 - 2 square root 45 + the square root of 1\5.
Click here to see answer by edjones(8007) About Me 

Question 144153: Can you please help me solve this expression: 5sqrt%2824y%29%2B3sqrt%2854y%29
Click here to see answer by jim_thompson5910(35256) About Me 

Question 144154: Can you please help me solve this expression: 3sqrt%284x%5E2y%29-8y+sqrt%28y%29

Click here to see answer by Alan3354(69443) About Me 
Question 144154: Can you please help me solve this expression: 3sqrt%284x%5E2y%29-8y+sqrt%28y%29

Click here to see answer by jim_thompson5910(35256) About Me 

Question 144151: Can you please help me solve this expression: 3sqrt%289x%5E2y%5E2%29%2B2sqrt%289x%5E2y%5E2%29
This can't be solved, only simplified as 3(3xy)+2(3xy), or 5((3xy), which is 15xy.

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

Question 144143: Hello. Please help me solve this problem: I need to find the simplest radical form and the approximate answer of sqrt+%285%29-1%2Fx+=+sqrt+%285%29%2F2.
2%28sqrt%285%29-2%2Fx=sqrt%285%29
sqrt%285%29-2%2Fx=0
sqrt%285%29=2%2Fx
x%28sqrt%285%29%29=2
x=2%2Fsqrt%285%29
x = 0.8944

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

Question 144147: Please help solve this problem: I need to find the answer of the radical by first rationalizing the denominator, I got an answer but just wanted to make sure I have it correct: 7%2Asqrt100+over+sqrt500
7%2Asqrt100+%2A+sqrt5+over+sqrt500%2Asqrt5+%0D%0A%7B%7B%7B7%2Asqrt500+over+sqrt2500
7%2Asqrt100%2A5+over+50
70%2Asqrt5+over+50

Click here to see answer by edjones(8007) About Me 

Question 144231: How do you simplify this equation: √[81x^12y^8z^10]
What I did was the sq root of 81, which is 9 but i'm not sure about the exponents part.

Click here to see answer by Earlsdon(6294) About Me 

Question 144232: Perform the indicated operations:
2√[48] + 7√[12] –√[27]
I have no clue how to even start this one..

Click here to see answer by scott8148(6628) About Me 
Question 144232: Perform the indicated operations:
2√[48] + 7√[12] –√[27]
I have no clue how to even start this one..

Click here to see answer by Earlsdon(6294) About Me 
Question 144232: Perform the indicated operations:
2√[48] + 7√[12] –√[27]
I have no clue how to even start this one..

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

Question 144230: I need help mulitplying this: (√[6] + 2√[2])(4√[6] – 3√[2])

Click here to see answer by jim_thompson5910(35256) About Me 

Question 144246: 2x^2 – 12x + 18 divided by 2x^2 – 18
I need to simpliy this. The answer I have is: -12x + 18 divided by -18. Is this correct?
You can divide both by 2, giving
%28x%5E2-6x%2B9%29%2F%28x%5E2-9%29
If you divide it, you get 1 with a remainder of -6x+18.

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

Question 144248: __2____
√[3] + √[2]
Rationalize the demominator?

Click here to see answer by solver91311(24713) About Me 

Question 144309: 2 radical 6-radical 6
Click here to see answer by hawkeye4077(2) About Me 

Question 144316: Perfect square trinomials
find the term that should be added to the expression to create a perfect square trinomial.
x to the power of 2 minus 12x

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

Question 144424: Please help me simplify (all of this is in a square root) X to the 5 divided by 45
Click here to see answer by Alan3354(69443) About Me 

Question 144547: Thank you in advance for helping me with this equation. sqrt(-2x-7) + sqrt(x+9)= sqrt(8-x)
Click here to see answer by jim_thompson5910(35256) 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