Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 94191: Given x^3 - 4x^2 + 2x + 1 =0
(a)How many possible positive roots are there?
(b)How many possible negative roots are there?
(c)What are the possible rational roots?
(d)Using synthetic substitution, which of the possible rational roots is
actually a root of the equation?
(e)Find the irrational roots of the equation. (HINT: Use the quardratic
formula to solve the depressed equation.)
(a)____________
(b)____________
(c)____________
(d)____________
(e)____________

Click here to see answer by stanbon(57984)

Question 94307: Solve 2x+5y=10 solve for y
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Question 94306: In an isosceles triangle, two sides are equal. The third side is 75% of the length of one of the equal sides. Find the length of each side when the perimeter is 165cm.
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Question 94325: I am not good at this and need some help
Identify the axis of summetry, create a suitable table of values and then sketch the graph (include the axis of summetry)
y=-x^2+3x-3
Thank you
Click here to see answer by stanbon(57984)

Question 94356: the problem is:
-3x(squared)+6x+23=0
I understand how to do the formula, but when I try to get my answers for x, they are different then the answer on the answer sheet. Can you break down the problem for me please?
Click here to see answer by jim_thompson5910(28717)

Question 94385: solve the equation by using the quadratic formula
3z^2-8z+2=0
Click here to see answer by jim_thompson5910(28717)

Question 94514: x^2-6x-3=0
Click here to see answer by checkley71(8403)

Question 94542: x^3-x^2-12x=0

I think the answer is x=0, x=4, x=-3, but I'm not really sure how I got that...
Click here to see answer by stanbon(57984)

Question 94542: x^3-x^2-12x=0

I think the answer is x=0, x=4, x=-3, but I'm not really sure how I got that...
Click here to see answer by jayanthihemkos@yahoo.com(87)

Question 94574: I am 32 and just now going back to college, so it has been um..oh about 15 years since I even did any type of algebra problem. This is all new territory for me. Here is the problem as it was presented to me.
Find k such that the equation x(2)^-kx+4=0 has a repeated real solution.
I am not understanding the concept of real solution, I think.
Erica
Click here to see answer by stanbon(57984)

Question 94565: An art dealer sold two artworks for $1520 thereby making a profit of 25% on the first work and 10% on the other, whereas if he had approached any exhibition he would have sold them together for $1535 with a profit of 10% on the first and 25% on the other artwork. Find the actual cost of each artwork.
Click here to see answer by ankor@dixie-net.com(15747)

Question 94606: I need help solving these two problems.
x^2 – 3x = -6x – 1

x^2 – 10x – 1 = -10

Click here to see answer by checkley71(8403)

Question 94618: I am struggling with this problem I need to solve
it using quadratic formula. Any help would be
appreciated.
x² – 10x – 1 = -10
Click here to see answer by Edwin McCravy(8999)

Question 94625: Write three quadratic equations with a,b,c (coefficients of x^2, x, and the constant) as:
1. integers
2. rational numbers
3. irrational numbers
This is what I did.
1. 4x^2 + 11x + 6 = 0
2. x^2 + 2x = -1
3. 3z^2 + z - 1 = 0
Are these correct?
Click here to see answer by jim_thompson5910(28717)

Question 94569: A designer, attemptng to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?
Click here to see answer by ankor@dixie-net.com(15747)

Question 94567: A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reasons, six girls couldn't turn up, so the professor had to make some changes in the group. He admitted six boys. In doing so, the percentage of boys in the project increased to 75%. Find the number of boys and girls involved in the project initially.
Click here to see answer by ankor@dixie-net.com(15747)

Question 94570: Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?
Click here to see answer by ankor@dixie-net.com(15747)

Question 94937: For a sample of size n=60, proportion p=0.35, and 95% confidence level, the lower bound of the proportion is ______?
Click here to see answer by stanbon(57984)

Question 95109: Translate the following into a quadratic equation, and solve it:
The length of a rectangular garden is three times its width; if the area of the garden is 75 square meters, what are its dimensions?
I don't see how I'm going to get the x2 part of the equation out of this..or any of it. please help!
Click here to see answer by scott8148(6628)

Question 95123: 6x^2+11x-10=0
Click here to see answer by checkley71(8403)

Question 95124: 3(5x-2)=54
How do i solve this? The solution is X=4 I don't understand how X can be 4.
-5 + X = -21 How do i solve this? The solution is -16. I don't understand how it can be -16
7-4X > 3-3X How do i solve this? The solution is < 4 I don't understand how the answer can be < 4
liobacasey16@yahoo.com I take on line class, have no text book.
Click here to see answer by checkley71(8403)

Question 95232: Please help me find a quadratic function with solutions -5+2i and -5-2i and a leading coefficient of 1.sum of root=-10 products of roots =27 x^2+10x+27
Click here to see answer by samuelnkadi(1)

Question 95254: please help me with my assignment...I really dont know the right solution and answer to this equation. x2-8x+7=0 that is x squared minus 8x plus 7 equals 0
Click here to see answer by stanbon(57984)

Question 95256: 2b+11=5-6b
Click here to see answer by checkley71(8403)

Question 95236: Good Morning and God Bless You,
I am struggling through College Algebra. I do not understand utilizing graphs, but I am spending all waking hours trying!
My problem is: Use the graph of y=x2+4x+5 to answer the following:
a. Using the graph what are the solution(s) to the equation -x2+4x+5=0?
b. Does this function have a maximum or a minimum?
c. What are the coordinates of the vertex in (x,y) form?
d. What is the equation of the line of symmetry for this graph?
The questions go on and on, but that is my limit of four. I asked one other question of this site last week which was extremely helpful. Also, how do I sign up for tutoring? I do believe I need extra help. Thank you in advance and God Bless you.
Click here to see answer by checkley71(8403)

Question 95264:
Click here to see answer by ionesco(12)

Question 95237: university of phoenix elementary and intermediate algebra solving quadric equations by factoring . while finding the amount of seed needed to plant his three square wheat fields. hank observed the side of one field was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field . if the total area of the three fields is 38 square kilometers, then what is the area of each field?
Click here to see answer by stanbon(57984)

Question 95258: =14
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Question 95257: =14
Click here to see answer by ankor@dixie-net.com(15747)

Question 95398: Can you please help me or explain to me how to solve : a positive and navative square root of 0.75 and come out with the exact value.
Click here to see answer by stanbon(57984)

Question 95401: Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?
*note* I really would like some help as to how to setup this question. Thank you!
Click here to see answer by stanbon(57984)

Question 95266: Could you show me how to solve this equation, I know the answer , thanks to my calculator , but I do not know how to get to that stage
x+1 6
_____ + ______ = 0
x 2x-3
Click here to see answer by ankor@dixie-net.com(15747)

Question 95298: A garden area is 30ft long and 20ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400ft2, what is the width of the path?
Click here to see answer by ankor@dixie-net.com(15747)

Question 95406: Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
*note* I really would like some help as to how to setup this question. Thank you!
Click here to see answer by ankor@dixie-net.com(15747)

Question 95407: Rita rows 12 km upstream and 12 km downstream in 3 hours. The speed of her boat in still water is 9 km/hr. Find the speed of the stream.
*note* I really would like some help as to how to setup this question. Thank you!
Click here to see answer by ankor@dixie-net.com(15747)

Question 95466: Find the axis of symmetry.
y=x^2+3x-1
Click here to see answer by stanbon(57984)

Question 95400: A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?
*note* I really would like some help as to how to setup this question. Thank you!
Click here to see answer by stanbon(57984)

Question 95446: A ball is thrown upward from the roof of a building 100 m tall with an initial velocityof 20 m/s. When will the ball reach a height of 80 m?
Click here to see answer by scott8148(6628)

Question 95374: 8(6-2)+8x7/8(4-1)

8(6-2)+8x7
that number is over 8(4-1) this is how it should be

8(6-2)+8x7
-----------
8(4-1)
Click here to see answer by checkley71(8403)

Question 95556: 5^(5/2)
Click here to see answer by checkley71(8403)

Question 95602: 1/2+4m=3m-5/2
Click here to see answer by checkley71(8403)

Question 95789: Please solve the problem x(3x-7)-20=0. Can you include the steps?
Click here to see answer by elima(1433)

Question 95896: I'm struggling on this one & it's probably easy but I just can't seem to get it, PLEASE HELP...
Quadratic Eq.
Jane invested some amount of money at a rate of 12% simple interest and some other amount at the rate of 10% simple interest. She received yearly interest of $130.Randy also invested in the same scheme, but he interchanged amounts invested and received $4 more interest. How much did each of them invest at different rates?
Click here to see answer by checkley71(8403)

Question 95929: If P dollars is invested at 100r percent compounded annually, at the end of 2 years it will grow to A=P(1+r)2
At what interest rate will $100 grow to $144.00 in 2 yrs If A=144 and P =100 , find r
Click here to see answer by checkley71(8403)

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, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340