Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 410332: Could you please solve 4k^2=5k by Factoring?
Thanks!!!
Click here to see answer by Earlsdon(6294)

Question 410522: Minimizing Area) A 24in. piece of string is cut into two pieces. One piece is used to form a circle while the other is used to form a square. How should the string be cut so that the sum of the areas is a minimum?
Click here to see answer by Theo(13342)

Question 410547: i would like to know the vertex and the axis of symmetry and how to get both of these with work shown thanks.:
1/4(x+2)^2+6 and another equation: 2(x+2)(x+4)
Click here to see answer by ewatrrr(24785)

Question 410986: Use the quadratic formula to solve the following equation for x, show as much work as possible: 0 = 2x2 - 5x - 18.

Click here to see answer by jsmallt9(3758)

Question 411036: A rectangular area borders on a stream. A farmer has 400 feet of fencing and intends to use it to fence in the other three sides. Express the area in terms of one of its sides, x.
Click here to see answer by edjones(8007)

Question 411098: how many solutions are there to the equation:
-0.2x(squared) + 12x+11=0
Click here to see answer by josmiceli(19441)

Question 411096: suppose you have the quadratic equation of
tickets=-0.2x(squared)+ 12x+11 ; x=1 day ticket sales start.
does the graph of this equation open up or down? how do you know
Click here to see answer by josmiceli(19441)

Question 411107: I am struggling to fufil my teacher's task. She asked me to right out all the steps to slove the following problems using the quadratic formula. The problems are x^2+20x+100=64 , 4x^2+4x+1=16, 36x^2+12x+1=18, 9x^2-12x+4=4, and 25x^2 - 30x+9=96. I know this is alot. I am seriously struggling in Algebra 2 and I am in great need of a tutor.
Click here to see answer by edjones(8007)

Question 411127: Completing the square?
Can someone show me the steps to completing the square for this please?

- 1/5x^2 - 1/2x + 2 = 0
Click here to see answer by ewatrrr(24785)

Question 411127: Completing the square?
Can someone show me the steps to completing the square for this please?

- 1/5x^2 - 1/2x + 2 = 0
Click here to see answer by edjones(8007)

Question 410250: If a stone is tossed from the top of a 210 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2 � 10t + 210, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth�s place; include units in your answer
Click here to see answer by ewatrrr(24785)

Question 411133: Need help solving this, trying to figure out how to get rid of decimals to make quadratic equation easier to solve.
-0.3x^2 + 0.1x = -0.02
Click here to see answer by ewatrrr(24785)

Question 411199: Find the maximum or minimum value of the function.
f(x)= -x^2/3+2x+6 (it's -x^2 over 3 then +2x+6)

I thought that you have to use -b/2a and then f(x)=-b/2a

Click here to see answer by stanbon(75887)

Question 411228: s=16t^2+v*t+k gives the height of the ball at anytime t in seconds where v is the initial velocity speed in ft/sec and k is the initial height? i am soo confused
Click here to see answer by jjordan95(63)

Question 411341: Solve using the quadratic formula:
2x^2-11x-2=0
Click here to see answer by ewatrrr(24785)

Question 411341: Solve using the quadratic formula:
2x^2-11x-2=0
Click here to see answer by rfer(16322)

Question 411341: Solve using the quadratic formula:
2x^2-11x-2=0
Click here to see answer by shree840(260)

Question 411426: Solving this equation graphically
2.5x^2 = 4.75x - 2.1
Click here to see answer by rfer(16322)

Question 411469: graph the quadratic function f(x)=4(x+5)^2-1
Click here to see answer by stanbon(75887)

Question 411549: could someone assist me on how i can crack this problem it says in the quadratic equation Kx^(2) + 2(k+1)x + (k-1)=0 where k is a constant
.solve the equation in the case K=5
.find the set of values for k which the equation has distinct real roots
thanks in advance!!
Click here to see answer by Theo(13342)

Question 411649: I need help on solving this step by step , i don't know how to go about this problem when it has fractions.
Find the real solutions of the equation.
x2/3 - 2x1/3 - 15 = 0
Click here to see answer by emargo19(101)

Question 411687: 1. Identify the vertex of each parabolas, and idenitify if it is a maximum or minimum.
a. f(x)= x^2 - 2x + 6
b. f(x) = 4(x-3)^2-1
Click here to see answer by rfer(16322)

Question 411720: Please help solve:
4x^2+2x = 0
and this one:
6x^2 = 36x
Thank you
Click here to see answer by rfer(16322)

Question 411759: Find b^2-4ac and the number of real solutions to this
equation.
5x^2-7=0
Click here to see answer by rfer(16322)

Question 411648: I need help about how you do this problem step by step .
Solve the equation by completing the square.
x2 + 18x + 58 = 0
Click here to see answer by ankor@dixie-net.com(22740)

Question 411732: how many square feet of fence will it take to fence 10,890 square feet?
Click here to see answer by richard1234(7193)

Question 411732: how many square feet of fence will it take to fence 10,890 square feet?
Click here to see answer by shree840(260)

Question 411954: Hi. I may have a solution but it may not be correct.
I need to give the exact and approximate solutions to 3 decimal places.
(x-12)^2 - 12;
My steps:
x-12= sqrt12; x-12 = - sqrt12
exact solutions are 12+2 = sqrt 3 12-2 = sqrt 3.
Approximate solutions are 15.464, -8.536

Click here to see answer by Alan3354(69443)

Question 412046: How do I solve this verbal problem with a quadratic equation?
The sum of the squares of two consecutive negative integers is forty-one.
Click here to see answer by ewatrrr(24785)

Question 412090: Hi Stuck with this, please help
Find the area under y = cos 2t from t = 0 to t = 0.5.

Thanks Tim
Click here to see answer by Alan3354(69443)

Question 412258: write x squared + 11x + 21 = 0 in the quadratic formula
Click here to see answer by stanbon(75887)

Question 412473: Provide the manager with a quadratic equation that models the expected number of ticket sales for each day x (x=1 is day tickets go on sale).

I solved this equation -0.2x^2+12x+11 but I am supposed to show what each thing represents;
-0.2x^2 represents..
12x represents..
11 represents..
I'm unsure what each variable represents in the equation.
Click here to see answer by ewatrrr(24785)

Question 411433: Solve equation and inequality. Use set builder notation or interval notation to write solution sets to the inequalities.
(a) 18x^2 + 9x - 20 = 0
(b) 18x^2 + 9x - 20 (-/=)0
(c) 18x^2 + 9x - 20 (+/=)0
Click here to see answer by jsmallt9(3758)

Question 412159: A banner is in the shape of a right triangle of area 63in sq. The height of the banner is 4in less than twice the width of the banner. find the height and the width of the banner.
Click here to see answer by jsmallt9(3758)

Question 412494: Graph quadratic equation graphically, symbolically, and numerically. to the nearest tenth when appropriate.
x^2 - 225 = 0
Click here to see answer by MathLover1(20849)

Question 412503: The table shows a person's heart rate after exercise has stopped.
Time(min) 0,2,4
Heart rate(bpm) 154,106,90
(a) find the values for the constants a, h, and k so that the formula f(x)=a(x-h)^2 + k models the data, where x represents time and 0 ≤ x ≤ 4.
(b) Evaluate f(1) and interpret the result.
(c) Estimate the times when the heart rate was from 115 to 125 beats per minute.
Click here to see answer by ewatrrr(24785)

Question 412670: Please help me with determining the number of real solutions based on the discriminate.

I know that the discriminate is b^2-4ac, I just don't understand how to apply it when figuring out if it is equal to zero, less than zero, or greater than zero. If you could help that would be greatly appreciated, thank you so much!
Click here to see answer by rfer(16322)

Question 412863: Simplify the expression
i^15
Click here to see answer by stanbon(75887)

Question 412885: Graph the quadratic equation, and find the following
y= x^2+6x+5
Vertex:
X-intercepts (zeros):
Axis of symmetry equation:
y-intercept:
Click here to see answer by rfer(16322)

Question 412883: Graph the quadratic equation, and find the following
y=-(x-3)^2+4
Vertex:
X-intercepts (zeros):
Axis of symmetry equation:
y-intercept:
Click here to see answer by rfer(16322)

Question 413002: Solve the problem step by step using the quadratic formula.
6x^2+5x=6
Click here to see answer by Alan3354(69443)

Question 413007: I need a step by step answer using the quadratic formula for this equation.
6x^2+5x=6
Click here to see answer by ewatrrr(24785)

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