Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 377369: SOlve the quadratic equation
5x^2+x+2=0
Click here to see answer by Fombitz(32388)

Question 377448: Solve the quadratic equation x2-x-1=0
Click here to see answer by user_dude2008(1862)

Question 377451: write a quadratic equation, the solutions are -10,5
Click here to see answer by mananth(16946)

Question 377490: Hi Can somebody please help me with this problem
Confirm that the point P(1,1) lies on the curve with equation x^3-y^2+xy-x^2=0 and find the values of dy/dx and d^2y/dx^2 at that point.
Please explain steps if anyone is so kind as to help
Thank you
Click here to see answer by Fombitz(32388)

Question 377542: What is the vertex for the function y=-3x^2+6x
Click here to see answer by Fombitz(32388)

Question 377619: Solve for x.2x^2=-5x-3

Click here to see answer by Bit(1)

Question 377581: Hi
will somebody be so kind as to help with this particular problem, really finding it difficult

In an underground telephone cable the ratio of the radius of the core to the thickness of the protective sheath
is denoted by x. The speed v at which a signal is transmitted is given by
v = Kx^2 ln(1/x)
where K is some positive constant. Show that
dv/dx= Kx [2 ln(1/x)- 1]
and hence show that the maximum speed of transmission is K/(2e).
Thank you very much!
Click here to see answer by Fombitz(32388)

Question 377574: Determine the nature of the solutions of the equation.
y^2=2/3y+5/7
Click here to see answer by Fombitz(32388)

Question 377684: A parabola has the following characteristics:
zeros = 10,30
axis - x = 20
vertex - (20, -10)
y-intercept = 30
The equation for the factored form quadratic relation is y = a(x-r)(x-s)
What is the equation? Please explain thoroughly.
Click here to see answer by Fombitz(32388)

Question 377688: Hi
Can somebody please help me with these, i have attempted them and have answers in mind but unsure?
Find df/dx for the following functions
i) f(x)= sin(3x-1) I got = cos(3x-1).3
ii) f(x)= sqrt(x^4+1) I got = 1/2(1+x^4)^-1/2.4x^3
iii)f(x)=x/(x+1)^3
Finally
f(x)=tan(x^2+2)
Would appreciate some help on these a great deal
Thanks
Click here to see answer by Fombitz(32388)

Question 377633: Solve
3x^2=4x-1
Click here to see answer by ewatrrr(24785)

Question 377702: Hello.
Confuse a bit with this,
Find and classify the stationary points of the curve y = x^5 - x^3 and hence sketch the curve between the
points x = -1 and x = 1.
I Got so far
Local minimum when x-0.775 and y = -0.186
Thanks in advance
Click here to see answer by robertb(5830)

Question 377744: Solve the equation
log(x+1)-log(x+2)=log(1/x)
Click here to see answer by robertb(5830)

Question 377744: Solve the equation
log(x+1)-log(x+2)=log(1/x)
Click here to see answer by stanbon(75887)

Question 377749: if the product is 120 and the sum is 50 what are the two numbers

Click here to see answer by Alan3354(69443)

Question 377876: Please help me. I need to find write the quadratic function for a given set of points (0,-4)(1,0)(2,2). I keep getting different answers.
Click here to see answer by robertb(5830)

Question 377907: the answers are -9 and 1, i am trying to understand this process, so x = -9 and x = 1, so x^2(x -9)(x 1) so x^2 + 3x -9 = 0 ???
i must be doing something wrong and i need help...
Click here to see answer by edjones(8007)

Question 377910: x^2 + 8x + 12= 0
Click here to see answer by robertb(5830)

Question 377910: x^2 + 8x + 12= 0
Click here to see answer by mananth(16946)

Question 377916: The quadratic x2 + 20x + 100 has what type of roots?

Click here to see answer by sophxmai(62)

Question 377918: The quadratic x2 + 20x + 100 has what type of roots?

Click here to see answer by richard1234(7193)

Question 377918: The quadratic x2 + 20x + 100 has what type of roots?

Click here to see answer by sophxmai(62)

Question 377918: The quadratic x2 + 20x + 100 has what type of roots?

Click here to see answer by nyc_function(2741)

Question 378006: Hi I am having trouble with math and I am on number 8 on my assignment and it has taken me a while and I dont get this problem if possible could you please help me with it? Thank You.
50x^2=200
I did not even know how to start this problem beause it doesn't look like a normal quadratic equation because it does not end in zero.
So I tried to factor the problem but I did not know how to start..
Thank You!
Click here to see answer by sophxmai(62)

Question 378041: Write a quadratic equation in ax^2+bx+c=0 form to model two numbers that sum to 17. Their product is 42.
Click here to see answer by robertb(5830)

Question 378093: i have problems how to solve this problem 2y2-50=0 its two y square minus 50 equal to 0 i hope you can help

Click here to see answer by jim_thompson5910(35256)

Question 378081: Write a quadratic equation that has integer coefficients and has as solutions the given pair of numbers. 1/4 and 5/6
Click here to see answer by robertb(5830)

Question 378141: solve(3x)^2-12√(3x)+27=0 using the quadratic equation.
explain the steps please?
Click here to see answer by stanbon(75887)

Question 378156: Can you please help me solve this question: ax^2+by^2=Cz^2=2fyz+2gzx+2hxy+2px+2gy+2rz+d=0
Click here to see answer by Fombitz(32388)

Question 378183: A right triangle has sides of length such that the hypotenuse is 3 inches less than twice the shorter leg and the longer leg is 3 inches longer the shorter leg. how long is each side of the triangle?
Click here to see answer by ewatrrr(24785)

Question 378182: 5x^2-4x+2=0
use the quadratic formula to solve the following quadratic equation. simplify you answer
Click here to see answer by Alan3354(69443)

Question 378185: what are the x-intercepts (to the nearest tenth) of the equation f(x)=-2x^2+4x+3
Click here to see answer by ewatrrr(24785)

Question 378357: Hi! Could you please help me with this problem?
I have to find the solutions for 2x^2 + 4x + 7=0 using the quadratic equation...could you please help me?
thank you so much!
Click here to see answer by Alan3354(69443)

Question 378380: Hello. Can you please help me?
I have to find the solutions of -8x^2 + 4x + 5= 0...I got to the point of
-4+-*radical*176/-16....can you show me what to do next, please?
thank you!
Click here to see answer by Alan3354(69443)

Question 378413: If a number is added to two times its square, the result is thirty-six. Find all such numbers.

Click here to see answer by solver91311(24713)

Question 378538: solve. f(x)x^2-8x-2/x-2
Click here to see answer by stanbon(75887)

Question 378633: I need help finding the vertex I have tried and tried to help come up with the answer but I am having issues thank you.
F(X)3x^2 - 12x + 4
Click here to see answer by jim_thompson5910(35256)

Question 378680: The roots of the equation x2+bx+c=0 where b and c are constants are �3
and 4. Find the values of b and c.

Click here to see answer by richard1234(7193)

Question 378680: The roots of the equation x2+bx+c=0 where b and c are constants are �3
and 4. Find the values of b and c.

Click here to see answer by solver91311(24713)

Question 378736: can you help me it said give the number and type of solution for each quadratic equation x^2- 2/5x+5/6=0
Click here to see answer by mananth(16946)

Question 378896: Please help me solve this equationWhat is the exact and appropriate solution to 3 deciamls places of (x-9) ^=45.

Please give me some help on this equation. N(x)=-0.3x^+7.8x+13
Also on this equation please. Solve by completing squaring m^2-49/2m=1/2
Click here to see answer by Alan3354(69443)

Question 378944: find the root of the equation x^4-3x^2-54=0
Click here to see answer by Fombitz(32388)

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, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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