Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 258754: Give exact and approximate solutions to three decimal places.
x^2-5x+5=0
The exact solutions are x = ?
The approximate solutions to 3 decimal places are x=?
Thanks so much for your help.
Laura
Click here to see answer by Fombitz(32388)

Question 258751: Determine the nature of the solutions of the equation.
x^2 - 18 = 0
Choose the nature of the solutions of the equation.
Thank you so much for your help.
Click here to see answer by Fombitz(32388)

Question 258752: Graph the function. Find the vertex, line of symnetry, and maximum or minimum value.
f(x)= (x+2)^2-3
The vertex is ?
The minimum value is f(x) = ?
Thank you so much for your help.
Click here to see answer by Fombitz(32388)

Question 258781: A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 80ft. of fence? What should the dimensions of the garden be to give the area?
The maximum area that the farmer can enclose with 80ft. of fence is ? sq ft.
The dimensions of the garden to give this area is 40 ft. by ? ft.
Thank you in advance for your help with this problem.
Click here to see answer by richwmiller(17219)

Question 258790: This is actually solving a problem that is quadratic in form. I am having lots of difficulties trying to figure this one out trying to substitute, but even sure if that is what I am supposed to do and totally stumped. Here is the problem:
(x-3)^2/5=(4x)^1/5
If I let u = (x-3)^1/3, it still doesn't quite make it into a quadratic as it then looks like:
u^2=(4x)^1/5
This is where I am stumped, not sure how to proceed after this since I can't use u to equal the 4x also as they are not like terms.
(and the exponents are fractions)
Click here to see answer by Earlsdon(6294)

Question 258851: Give exact and approximate solutions to three decimal places.
y^2-10y+25=4

Thank you so much
Click here to see answer by richwmiller(17219)

Question 258856: Give exact and approximate solutions to three decimal places.
(x+9)^2=4
What are the exact solutions?
x = ?
Thank you so much.
Click here to see answer by Fombitz(32388)

Question 258646: Write a quadratic quation having the given numbers as solutions.
-5 and -1
The quadratic equation is ? = 0
(Type your answer in standard form. Type an expression using x as a variable.)
Thank very much for your help with this problem.
Click here to see answer by ankor@dixie-net.com(22740)

Question 258477: aki's bicycle designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.5x^2-1.2x+2.725, how many bikes should the shop build to minimize the average cost per bike? thank you
Click here to see answer by mathbath(13)

Question 258958: How do you solve any type of q- equation? I am starting on these, but am having some difficulty. It sometimes is very confusing at times to know when to do and calculate certain formulas and operations. I hope you can help me!
Click here to see answer by stanbon(75887)

Question 259039: a)What is the value of k if x=3 is a root of 2x^2 - kx - 3=0 ?
b)Determine the value(s) of k for which the equation kx^2 -4x + k = 0 will have two equal and real roots.
c)What is the nature of the roots of 2x^2 - x - 3 = -5?
I asked these together because they are all similar. Thanks for any help.
Click here to see answer by richwmiller(17219)

Question 259080: Can someone help with this please
Solve by completing the square.
m squared - (25 over 2)m = 5 over 2
The solutions are ?
(hint Use redicalsas needed. Use a comma to separate answers.)
THank you for your help
Click here to see answer by richwmiller(17219)

Question 259196: Solve by completing the square.
m squared - (25 over 2)m = 5 over 2
The solutons are ?

Thank you so much for your help.
Click here to see answer by Fombitz(32388)

Question 259244: What is the answer to to y from this equation: 8x-2y=44
Click here to see answer by Fombitz(32388)

Question 259236: for the equation x^2+6x=-3.
A. find a, b, and c.(it will help you to put the equation in standard form first.)
B. solve the equation using the quadratic formula.
please help!!!!
Click here to see answer by vksarvepalli(154)

Question 259207: Please help me solve this equation:
5x+7y=76
6x-8y=91
Click here to see answer by Fombitz(32388)

Question 259276: f(x)=-x^2+12x+3
find the vertex(ordered pair):
find line of symmetry:
maximum/minimum of f(x) is:
the value f(6)=39 is which of the following maximum or minimum:
Click here to see answer by richwmiller(17219)

Question 259303: solve, what are the solutions: 4x^2=12
find x-intercepts of f(x)=4x^2-12
(intercepts are ordered pair)
Click here to see answer by drk(1908)

Question 259275: My question is write the quadratic equation in vertex form. give the coordinates of the vertex and the equation of the azis of symmetry
y=-6x2-72x-221
Click here to see answer by Fombitz(32388)

Question 259278: find the x and y-intercepts (ordered pair for both answers):
f(x)=25x^2+20x+4
Click here to see answer by Fombitz(32388)

Question 259536: 4+ the square root of 25
Click here to see answer by ashtontr(4)

Question 259536: 4+ the square root of 25
Click here to see answer by mathbath(13)

Question 259563: (-4,-37) (2,11) (0,-1)
I need to write a quadratic, mostly I'm confused about the triple elimination part of it.
Click here to see answer by Fombitz(32388)

Question 259749: The discriminant determines how many _____ a quadratic equation will have and whether they are real or imaginary.

Click here to see answer by drk(1908)

Question 259749: The discriminant determines how many _____ a quadratic equation will have and whether they are real or imaginary.

Click here to see answer by richwmiller(17219)

Question 259766: 16x^2-6x+6=0
For the equation, state the value of the discriminant and then describe the nature of the solutions.
I have tried every way possible and I can't figure this out.
Thank you,
Patrice
Click here to see answer by nerdybill(7384)

Question 259771: how do i find the answer to f(0)=3x-7 i dont know where to begin to find the answer! please help

Click here to see answer by Fombitz(32388)

Question 259772: Find the value of k for which the equation 3x2 − kx + 7 = 0 will have two real solutions.
Click here to see answer by Fombitz(32388)

Question 259772: Find the value of k for which the equation 3x2 − kx + 7 = 0 will have two real solutions.
Click here to see answer by CharlesG2(834)

Question 259584: I need help in converting the following equation to a quadratic equation and then factor it:
V(h)=3h^4+11h^3+18h^2+44h+24
Click here to see answer by Fombitz(32388)

Question 259841: How do I solve the qauadratic equation -4x�=0.....I am really confused! Thank you in advance
Click here to see answer by Alan3354(69443)

Question 259854: I'm having a brain freeze...The problem is g(x)= 2x^2 + 5x -2, g(4). My question is, when solving, do I multiply 2x4, then ^2, or do I 4^2, then multiply that answer by 2?? Simple question, but I really can't remember. Thanks!!
Click here to see answer by scott8148(6628)

Question 259859: This one is a bit different than what I have actually learned my my lessons. Could you help me solve this equation?
10x^4 - 27x^2 + 5 = 0
Click here to see answer by jim_thompson5910(35256)

Question 259866: Evaluate the discriminant of each equation. How many real and imaginary soulutions does each have? if you could help with the 4 problems i can do the rest of the paper please explain as well so i can see what im doing please
x^2+5x+6=0
3x^2-4x+3=0
-2x^2-5x+4=0
16x^2-8x+1=0
Click here to see answer by jim_thompson5910(35256)

Question 259973: My book says the answer is -5 and -3, where am I missing it?

x=
x=
x=
x=
x=
Click here to see answer by nerdybill(7384)

Question 259972: My book says the answer is -5 and -3, where am I missing it?

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

Question 259972: My book says the answer is -5 and -3, where am I missing it?

x=
x=
x=
x=
x=
Click here to see answer by Edwin McCravy(20054)

Question 259971: Solve using quadratic formula. My book says the answer is
4x^2-2x-7=0
x=
x=
x=
I need help at this point. Thank you
Click here to see answer by ankor@dixie-net.com(22740)

Question 259991: find & label the vertex, and the line of symmetry f(x)=3(x-2)^2
(the vertex is an ordered pair)
Click here to see answer by stanbon(75887)

Question 259986: give exact and approximate solutions to three decimal places: y^2-8y+16=1
Click here to see answer by Edwin McCravy(20054)

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, 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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