Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 171583: I need help solving this quadratic equation by factoring:
t(3t+1)=2
Click here to see answer by nerdybill(7384)

Question 171386: A baseball player hits a ball into the air. The ball's height above the ground, in meters, t seconds after being hit, is approximated by h(t)=1+13t-5t^2. Algebraically determine the time when the ball first reaches a height of 9 m.
Click here to see answer by solver91311(24713)

Question 171580: Can you please show me how to graph this quadratic function using its properties, and based on the graph, determine the domain and range of the quadratic function.
f(x) = x^2 - 4x -5
Click here to see answer by jim_thompson5910(35256)

Question 171579: Can you please show me how to graph each quadratic equation using its properties, and also based on the graph, determine the domain and range of the quadratic function.
I am lost when it comes to this new chapter we have started...
F(x) = -x^2 + 2x + 8
Click here to see answer by jim_thompson5910(35256)

Question 171581: Can you please show me how to graph this quadratic function using its properties, and based on the graph, determine the domain and range of the quadratic function.
p(x) = -x^2 + 2x - 5
Click here to see answer by jim_thompson5910(35256)

Question 171610: Why are there usually two solutions in quadratic equations
Click here to see answer by KnightOwlTutor(293)

Question 171564: what is (bcubed+8squared)-(3b-24)
Click here to see answer by midwood_trail(310)

Question 171632: A rope 100 feet long is stretched around four posts set at the corners of a rectangle whose area is 576 square feet. Find the dimensions of the rectangle.
Click here to see answer by Alan3354(69443)

Question 171645: state the domain of the following g(x)=5x/x^2+25
Click here to see answer by stanbon(75887)

Question 171658: given the equation Kx^2+(k+3)x+3-4k=0 find the value of k given that one root is 2
Click here to see answer by jim_thompson5910(35256)

Question 171657: you are given the equation A= -3w^2+102w find when area is equal to 360
Click here to see answer by Alan3354(69443)

Question 171709: Question-In the equation ax^2 + bx + c=0, the value of b^2 -4ac is called the of the quadratic equation. What does the value tell you about the real roots of the equation?
Part 2, they don't want the graph. Given the equation,determine how many x intercepts the parabola has. And whether its vertix lies above or below or on the axis.
Thanks appreciate all your help. Could not do it without you.
Click here to see answer by stanbon(75887)

Question 171676: in the sequence 1, 6, 15, 28, 45 and so on, the nth term of the sequence is given by a quadratic polynomial, an^2+bn. what is the ordered pair (a,b)?
Click here to see answer by Edwin McCravy(20054)

Question 171631: Find two numbers, one of which is double the other, if the square of their sum exceeds the sum of their squares by 1oo.
Click here to see answer by Alan3354(69443)

Question 171738: 1. A rectangular garden has dimensions of 18 feet by 13 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 516 square feet?
2. A business invests $10,000 in a savings account for two years. At the beginning of the second year, an additional $3500 is invested. At the end of the second year, the account balance is $15,569.75. What was the annual interest rate?
3. Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by stanbon(75887)

Question 171760: I need to find the quadractic equation for 5 and 28
Click here to see answer by Alan3354(69443)

Question 171807: 3x^2 -x-2 =0 how do I solve this equation using quadratic solution...thank you very much for helping me...
Click here to see answer by jim_thompson5910(35256)

Question 171820: Solve for X
45. 2x^2 + 8x - 3 = 0
Click here to see answer by jim_thompson5910(35256)

Question 171835: To Graph f(x)> 2x squared - 2x - 1. I really dpnt get how to graph it if you can help that would be fantastic.
Click here to see answer by jim_thompson5910(35256)

Question 171860: how do you simplify
the square root of 9/100 ?
i dont get that at all please help that would be fantastic.
Click here to see answer by jim_thompson5910(35256)

Question 171860: how do you simplify
the square root of 9/100 ?
i dont get that at all please help that would be fantastic.
Click here to see answer by Alan3354(69443)

Question 171863: how do you solve the equation by using the square roots: 3x^2-27=0
Click here to see answer by Alan3354(69443)

Question 171861: how do you solve x^2+2=6 by graphing the related function?
Click here to see answer by jim_thompson5910(35256)

Question 171866: 3z^2+13z+12=0 how do you solve this quadratic equation?
Click here to see answer by jim_thompson5910(35256)

Question 171867: c^2-6c=0 how do you solve this quadratic equation?
Click here to see answer by jim_thompson5910(35256)

Question 171875: how do you find the number of real solutions for this equation: x^2-10x+25=0?
Click here to see answer by jim_thompson5910(35256)

Question 171875: how do you find the number of real solutions for this equation: x^2-10x+25=0?
Click here to see answer by stanbon(75887)

Question 171876: how do you simplify
the square root of 4x^2y^2?
Click here to see answer by jim_thompson5910(35256)

Question 171872: how do you use the quadratic formula to solve 5y^2+5y=9? please round to the nearest hundreth
Click here to see answer by jim_thompson5910(35256)

Question 171881: The volume of water at a given time in a 2000L tank is respesented by the formula V=2000(1- t/45)^2, where t is the time in minutes. Determine the average rate of change in the volume of water in the tank from minute 0 to minute 10, and use it to describe how the volume of water in the tank is changing during that time.
Click here to see answer by stanbon(75887)

Question 171899: Can someone show me step by step how to solve this equation. thank you much in advance..
If x = 1 and x = -8, then form a quadratic equation

thank you!!!!
Click here to see answer by jim_thompson5910(35256)

Question 171873: how do you solve 11x^2=27? round to the nearest hundreth
Click here to see answer by Alan3354(69443)

Question 171868: how do you use the quadratic formula for 2a^2 - 46a + 252 = 0? please round to the nearest hundreth
Click here to see answer by Alan3354(69443)

Question 171868: how do you use the quadratic formula for 2a^2 - 46a + 252 = 0? please round to the nearest hundreth
Click here to see answer by jim_thompson5910(35256)

Question 171877: The roots of x^2+kx+9=0 are real and equal. What are the possible values of k???
Click here to see answer by monika_p(71)

Question 171896: Can someone put me on the right track I came up with 3 solution and I don't think my answer is right please help thank you..
Determine whether the following equation have a solution or not? please justify the answer.
(3)1/2 y^2 - 4y -7 (3)1/2 = 0

And can you show me on this one too thank you so much
z^2 + z + 1 = 0

thank you much much!!!!!
Click here to see answer by Alan3354(69443)

Question 171916: Solve by completing the square
3x^2+5x-1=0
Click here to see answer by jim_thompson5910(35256)

Question 171916: Solve by completing the square
3x^2+5x-1=0
Click here to see answer by josmiceli(19441)

Question 171912: Find the vertex for the graph of the quadratic function.
(f)x= x^2 -13
Click here to see answer by jim_thompson5910(35256)

Question 171912: Find the vertex for the graph of the quadratic function.
(f)x= x^2 -13
Click here to see answer by checkley77(12844)

Question 171883: A rectangular swimming pool has the length 30 m and width 20 m . There is a deck of uniform width surrounding the pool. The area of the pool is the same as the area of the deck. Write the quadratic equation to model this situation and use it to determine the width of the deck.
Click here to see answer by checkley77(12844)

Question 171926: A bakery sells cheesecakes having diameters 6 in, 8 in, 10 in; all the same height. Suppose that they cost $8, $12, and $20 respectively.
A. Which size gives you the most cheesecake per dollar?
please explain.
B. Find a quadratic equation that models how the ocst of a cheesecake varies with diameter.
I would appreciate any help I can get.
Please help soon!
Click here to see answer by Mathtut(3670)

Question 171938: Find A quadratic Model for each set of values:
(-1,1), (1,1), (3,9)
Click here to see answer by Alan3354(69443)

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