Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 355717: please help me..
this is the problem given to us..
we need to have this in quadratic equation..
THE SUM OF THE TWO NUMBERS IS 18 AND THE TOTAL OF THEIR SQUARES IS 170.WHAT ARE THE NUMBERS?
THANK YOU.:)
Click here to see answer by ewatrrr(24785)

Question 355844: Hi, I'm being asked to solve the inequality and graph on a number line. I'm new to this, so I'm wondering do I treat the inequality as an equation and complete the square?
x^2 + x - 9 > 3
x^2 + x + .25 > 12
(x + .5)^2 > 12
x > -.5 +/- sqrt(12)
Would this be correct? I'm getting x > 2.96 and x > -3.96, and not sure how I would put this on a number line. Any guidance you can provide is greatly appreciated!

Click here to see answer by Alan3354(69443)

Question 356041: solve by completing the square
x^2-10x=11
Click here to see answer by edjones(8007)

Question 356064: can you please help me with this mind breaking question...and thank you for
advance:). A traveler left a town A at 5:00 a.m. and traveled toward a town B.
At 7:00 a.m. another traveler left town B and traveled toward A. They met at
9:05a.m. The first traveler arrived at B and the second arrived at A at the
same time. How long did each travel?
Click here to see answer by Edwin McCravy(20054)

Question 356155: rewrite the following in simplified form
sqt of 28
Click here to see answer by mananth(16946)

Question 356232: x^2+6x=27
Click here to see answer by bwhite0905(1)

Question 356234: write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form ax^2+bx+c=0 solution: 10 only
use quadratic formula to solve the equation
x^2-x=-7
Click here to see answer by ewatrrr(24785)

Question 356319: Find the axis of symmetry of the parabola given by the function f(x) = 3x^2 + 4.
Click here to see answer by ewatrrr(24785)

Question 356316: Find the vertex of the parabola given by the function f(x) = 2x^2 + 3, expressing non-integer values in fractional form. State whether the parabola opens up or down
Click here to see answer by CharlesG2(834)

Question 356315: Find the y-intercept(s) of the parabola given by the function f(x) = 3x^2 + 4.
Click here to see answer by edjones(8007)

Question 356349: A parabola passes through (2,0), (3,0) and (0,3). Find it's equation.
Click here to see answer by Fombitz(32388)

Question 356349: A parabola passes through (2,0), (3,0) and (0,3). Find it's equation.
Click here to see answer by ewatrrr(24785)

Question 356373: Find the value(s) of k for which the equation (3-k)x^2-6x+0=0
Click here to see answer by Fombitz(32388)

Question 356311: Find the x-intercept(s), if any, of the parabola given by the function f(x) = -x^2 + x - 1.
Click here to see answer by jsmallt9(3758)

Question 356582: how would you solve the problem x(x-4)(x+3)(x-3)
Click here to see answer by mananth(16946)

Question 356713: Please help me solve by completing the square-
4x^=-12x + 4
or
2d^=8 + 10d
Click here to see answer by edjones(8007)

Question 356675: 6x^2+11x-10=0
Click here to see answer by robertb(5830)

Question 356679: 6x^2+11x-10=0
x^2=7x
(x-5)(x+2)=18
Click here to see answer by mananth(16946)

Question 356782: 3x^2+4x+1=0
Click here to see answer by mananth(16946)

Question 356792: The length and width of a rectangke have a sum of 70. what dimensions give the maximum area?
Click here to see answer by Alan3354(69443)

Question 356738: can anyone solve this problem? thank you for that someone.The circumference of a hind wheel of a wagon is 8 decimeters longer than that of the front wheel. In traveling one kilometer, the front wheel makes 62 � more revolutions than the hind wheel. Find the circumference of each wheel.
Click here to see answer by Theo(13342)

Question 356823: My question is graph the following equation: y = 2x(squared) - 8
how do i graph this...and how do i do the problem algebratically?
Click here to see answer by Alan3354(69443)

Question 356730: can you please help me solve this problem? and thank you. A number of persons agreed to raise $1200, but 5 of them failed to pay their share. As a result, each of the other had to pay $1 more. How many were in the party?
Click here to see answer by ankor@dixie-net.com(22740)

Question 356863: can the roots of x^2-7x+4=0 be found by factoring? explain.
Click here to see answer by Fombitz(32388)

Question 356731: can you please help me solve this problem? A telephone company finds that there is a net profit of $15 per instrument if it has 1000 subscribers, the net profits per instrument decrease one centavo for each subscriber above that number. Find the number of subscribers which yields a total net profit of $15000.

Click here to see answer by ankor@dixie-net.com(22740)

Question 356898: The body mass index,I, can be used to determine an individuals risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by the formula, or model, I=(700w/H^2), where W=weight, in pounds, and H=height, in inches. Francis wieghs 216 pounds and stands 74 inches tall. What is his approcimate body mass index? Find an ineqyality describing all weights W that Francis can have and be in the low-risk category.
Click here to see answer by mananth(16946)

Question 357009: Please solve 2x squared-5x-3 =0
Click here to see answer by mananth(16946)

Question 357053: Can you help me? What is the answer to S=-16+^2+v*t+k This is when you throw a ball up in the air
Click here to see answer by Alan3354(69443)

Question 357073: Solve 36x2 -12ax + (a2 � b2) = 0
Click here to see answer by stanbon(75887)

Question 357118: Solving Quadraticc Equations by Completing the Square
2x^2 - x + 6 = 0
Thank you for your time and help.
Click here to see answer by jim_thompson5910(35256)

Question 357234: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
f(x) = -x^2+6x+1

1) The vertex is ?? "ordered pair"
2) the equation of the line of symmetry is x= ??
3) the maximum/,mimimum of f(x) is ???
4) The value of f(3)=10 is minimum or maximum??
Could you please show me the graph??
Click here to see answer by user_dude2008(1862)

Question 357223: find the x and y intercepts
f(x)= -x^2+2x+24

The x coordinates of the intercepts are??
The y intercept is (0,?)
Click here to see answer by user_dude2008(1862)

Question 357244: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2 + bx + c = 0
Solution 6, only solution
The equation is ??? = 0
Click here to see answer by mananth(16946)

Question 357261: a) Solve 3x^2 = 21 "what are the solutions??"

b) find the x intercepts of f(x) = 3x^2 - 21 "the x intercepts are?"
Click here to see answer by edjones(8007)

Question 357273: Solve the formula for the given letter. Assume all variables represent non negative numbers.
E=hc^2 , for c ??
Click here to see answer by Fombitz(32388)

Question 357333: Hi Guys
Stuck with this one, would appreciate any help:
A dealer purchased a number of equally priced articles, for a total cost of �120.00 She sold all but 1 of them making a profit of �1.50 on each article, with a total revenue of �135.00, How many articles did she purchase? I can get the answer in my head to 11, just need to know how to go about getting there correctly.
Click here to see answer by scott8148(6628)

Question 357480: 2x^2=200
Click here to see answer by jim_thompson5910(35256)

Question 357478: I have been working on this all week and I just cannot get it. I know this is short notice but it is due with in the next 12 hours PLEASE HELP!
A plasma TV company determines that its total profit on the production and sale of x TVs is given by: P(x)= -x^2+812x-9600
the question that i am stuck on are as follows, and i have to show the work:
1. Find the solutions and explain what these solutions represent.
2. How many TV�s must be produced to reach a minimum or maximum profit?
3.What is this minimum or maximum profit?
4.What is the vertex of this graph? How is this point related to your answers from e and f?
I also have to graph it but i think i can do that if i have these answers
thank you so much in advance.
Click here to see answer by user_dude2008(1862)

Question 357404: Hi
Stuck on a particular problem
Question
Find the values of x for which
i) 3x-5>x+13
ii) x^2-4x-12>0
Would appreciate any help
Click here to see answer by ankor@dixie-net.com(22740)

Question 357615: Determine the nature of the solutions of the equations.
x^2 - 6 = 0
Choose the nature of the solutions of the equation.
Is there 1 real solution, 2 imaginary solutions, or 2 real solutions???
Click here to see answer by neatmath(302)

Question 357635: The width of a rectangle is 1 ft less than the length. The area is 2ft^2. Find the length and width.

The width is ??
The length is ??
Click here to see answer by rfer(16322)

Question 357638: Determine the nature of the solutions of the equation.

x^2 - 4x + 6 = 0

The equation has one real solution, two real solutions, or two non real solutions????
Click here to see answer by stanbon(75887)

Question 357641: A student opens a mathematics book to two facing pages. The product of the page numbers is 2550. Find the page numbers.

The first page is ??
The Second page is ??
Click here to see answer by robertb(5830)

Question 357634: Give exact and approximate solutions to three decimal places.
(x-9)^2 = 45

1) What are the exact solutions???
2) What are the approximate solutions???
Click here to see answer by stanbon(75887)

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