Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 58047: Table of values. Please help me to determine the table of values for:
y=-x^2+6x-2
Thanks
Click here to see answer by tutorcecilia(2152)

Question 58044: Write answer in a+bi form:
(1 + square root -9 i) + (2-5i)

Determine a function A that represents the area of the garden in terms of x
What dimensions will give a maximum area?
A homeowner decides to enclose a rectangular garden, using the side of the house as one side of the rectangle. The homeowner has 32 feet of fence to enclose the remaining three sides of the garden. Let x represent the length of each of the two parallel sides remaining.
Click here to see answer by ankor@dixie-net.com(22740)

Question 58232: solve the quadratic equation by completing the square.
2p^2=6p-20
Click here to see answer by funmath(2933)

Question 58400: could you please help me on these?

thank you sooooooo much!!!
Click here to see answer by checkley71(8403)

Question 58432: This has to do with a quadratic function.
For the quadratic function f(x)=5.92x^2-3.135x-5.86 , find the maximum or minimum value, x- intercepts and the y - intercept.
Does the quadratic have a maximum or minimum?
Click here to see answer by venugopalramana(3286)

Question 58378: Find the maximum of P(x) = -x^2 + 8x + 1.
Click here to see answer by babynarah2007(12)

Question 58550: if f(x) = 5x to the 2power-3x+1,find f(-2)
Click here to see answer by babynarah2007(12)

Question 58632: 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 25 characters. Can you find the number of characters used by the designer?
I tried to solve this way:
y=x + 24 y = x*x-25
Now I am stuck!!!!!!!!!!Please help
Click here to see answer by stanbon(75887)

Question 58636: Some students planned 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?
I did my equation like this: x = he number of students
(x-5) + 5 = 500
x=500
Am I even close?
Click here to see answer by stanbon(75887)

Question 58639: 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.
I am thinking that I need to use the formula Time = distance/rate?
Click here to see answer by checkley71(8403)

Question 58658: Could someon help me PLZ
graph y=2(x+5)^-3 and label the vertex and all exact interceps, not to scale on the Y axis
Thank you
Click here to see answer by Edwin McCravy(20054)

Question 58658: Could someon help me PLZ
graph y=2(x+5)^-3 and label the vertex and all exact interceps, not to scale on the Y axis
Thank you
Click here to see answer by funmath(2933)

Question 58692: please help...Using factoring to solve this quadratic equation:
4x^2-17x-15=0
Click here to see answer by venugopalramana(3286)

Question 58691: please help...Using factoring to solve this quadratic equation:
4x^2-17x-15=0
Click here to see answer by venugopalramana(3286)

Question 58710: I don't understand fractional equations for example:
2x-1 over 3 - 3-x over 2 =x over 4
Click here to see answer by Earlsdon(6294)

Question 58710: I don't understand fractional equations for example:
2x-1 over 3 - 3-x over 2 =x over 4
Click here to see answer by ash(1)

Question 58748: 2x2-5x=3
Click here to see answer by checkley71(8403)

Question 58746: x2-13x+22+0
Click here to see answer by checkley71(8403)

Question 58745: x2+9x+20=0
Click here to see answer by checkley71(8403)

Question 58788: how do you find the equation of the quadratic function. it has a graph with x-intercepts 2 and -1 and y-intercepts 6
Click here to see answer by funmath(2933)

Question 58874:
Click here to see answer by jaya_rohith1@yahoo.com(33)

Question 58903: Complete the following:
a) Find all zeros of f(x).
b) Write the complete factored form of f(x).
f(x) = x^4 + 5x^2 + 4
Click here to see answer by uma(370)

Question 58924: I'm confused and need help please. The question I'm working on says "Suppose that the coefficients of a quadratic equation are such that b^2<4ac. How many real number solutions and how many imaginary number solutions does it have?"
How would I go about solving this? Thanks for your time.
Click here to see answer by uma(370)

Question 59085: (2) Given f(x) = 3xsquared - 5x,
(a) Find f(-4)
(b) Find x if f(x) = 0

(3) Let g(x) = -3(x + 72)squared + 108
(a) Find the zeros of g(x).
(b) Identify the axis of symmetry for the graph of g.
Click here to see answer by funmath(2933)

Question 59146: Express the vertex of the quadratic 2x^2 - 3x + 5 as an ordered pair
Click here to see answer by stanbon(75887)

Question 59242: X 2/3 - X 1/3-6=0
Click here to see answer by funmath(2933)

Question 59230: Use the discriminant to determine whether or not the quadratic 2x^2 + 3x + 2
is prime. If it is not prime, factor it.
Click here to see answer by venugopalramana(3286)

Question 59230: Use the discriminant to determine whether or not the quadratic 2x^2 + 3x + 2
is prime. If it is not prime, factor it.
Click here to see answer by funmath(2933)

Question 59229: Given the following quadratic function: f(x) = x squared - 2x - 8,
(1) Rewrite the function in vertex form. Identify the vertex.
Click here to see answer by funmath(2933)

Question 59268: PLEASE help me to find tables of value;
y=x^2+3x-3
Click here to see answer by uma(370)

Question 59260: Would someone be able to help me through a couple of these so I can get a better grip on how to do them?
Determine the number of solutions to the quadratic equation using the discriminant to determine if the answers are real or complex. (no need to find the roots, just the numer & solution type)
i. 2x^2+5x+5=0
ii. 3z^2+z-1=0
Many thanks!
Click here to see answer by funmath(2933)

Question 59263: AHHHH - word problems kill me! Anyone out there willing to help me to see it through?
A photo is 3 inches longer than it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108in^2. What are the dimensions of the photo?
Thank you!
Click here to see answer by josmiceli(19441)

Question 59257: Could I get some help on these two please?
"Factor the quadratic expression completely, and find the roots of the expression"
a. 135x^2 - 222X + 91
b. 6x^2 - 42x + 72
Thank you very much!
Click here to see answer by checkley71(8403)

Question 59203: Solve the equation for x:
x^2+4x+4=7
I am not sure where to start with this one. It is strange because of the extra number. How do I do this problem? PLEASE HELP! THANK YOU!
ac
Click here to see answer by checkley71(8403)

Question 59318: x^2=49
Click here to see answer by checkley71(8403)

Question 59318: x^2=49
Click here to see answer by funmath(2933)

Question 59317: x^2+x-6
Click here to see answer by checkley71(8403)

Question 59316: (2x-4)^2=20
Click here to see answer by checkley71(8403)

Question 59313: Solving Quadratic Equation
x^2=49
Click here to see answer by checkley71(8403)

Question 59476: Please help me to solve 9/(x-5)-1=8/(x+5)
Thanks
Click here to see answer by Nate(3500)

Question 59442: I need help with this problem
applications of quadratic equation
find two numbers whose sum is 7 and whose product is 10.
Click here to see answer by checkley71(8403)

Question 59581: I can't seem to get these right - help would be appreciated:
(Not necessary to find the roots - just determine the number & type of solution) use a discriminant to determine the number of solutions for the quadratic equasions - and if the solutions are real or complex.
a. 2x^2+x-1=0
b. 4/3x^2-2x+3/4=0
c. m^2+m+1=0
Thank you very much!
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