Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 16741: A group of students in Mr. Swanson�s statistics class collected data on the price of a 20 ounce loaf of white bread at various stores in the area. The prices they obtained were: $0.79, $1.19, $0.33, $1.22, $1.05, $1.49, $1.19, $1.29, and $0.99. If M is the median of these prices and N is the mean, find M � N.
Click here to see answer by rapaljer(4671)

Question 16739: The perimeters of a square and an equilateral triangle are equal. If the area of the square is 5.76 square centimeters, what is the perimeter of the triangle?
Click here to see answer by rapaljer(4671)

Question 16737: Margarita received grades of 79%, 86%, 92%, and 83% on his first four Algebra/Trigonometry exams. What grade must she get on the next exam in order to increase her test average by 2 points?
Click here to see answer by rapaljer(4671)

Question 16736: When you double a number then add 20, you get four-thirds of the original number. Write an equation to represent this relationship. Use x for your variable.
Click here to see answer by pwac(253)

Question 17141: Solve the quadratic equation by factoring and applying the zero product principle.
12xsquare - 41x + 24 = 0
Thank you so much
Click here to see answer by Earlsdon(6294)

Question 17141: Solve the quadratic equation by factoring and applying the zero product principle.
12xsquare - 41x + 24 = 0
Thank you so much
Click here to see answer by dawnhatch(2)

Question 17346: given g(x)= -2x^2-8x+12.......what are the solutuions for g(x)=0, and g(x)<0.
Click here to see answer by venugopalramana(3286)

Question 17396: I need some help trying to sovle this problom every time i try to solve it. it comes out to 5 but thats wrong tho.
4(a-2)=2(a-1)
Click here to see answer by pwac(253)

Question 17457: can you help me solve this problem: 13-8v = 5v+3
Click here to see answer by tjnw79(57)

Question 17561: How do you write in the form of y=a(x-p)2+q from y=x2-6x+10?
Click here to see answer by rapaljer(4671)

Question 17600: what is the difference between factoring and expanding?
Click here to see answer by rapaljer(4671)

Question 17667: I'm stuck on one part of deriving the quadratic equation. I can not figure out how x^2 + (b/a)x + (b/2a)^2 becomes (x + b/2a)^2. If I multiply this out I get x^2 + (b/2a)x + (b/2a)x + (b/2a)^2.
Thanks
Click here to see answer by mukku(2)

Question 17533: Find all real solutions for x^4-5x^2+4=0
Click here to see answer by xcentaur(357)

Question 17699: 2x^2+7x-4=0
Click here to see answer by xcentaur(357)

Question 17682:
Click here to see answer by emcdonald2(1)

Question 17951: Hi everyone, I need to know how to solve this equation 8x^6+7x^3-1=0 by using the quadratic equation - though, I would also want to know how to turn this equation to a quadratic, thanks
Click here to see answer by xcentaur(357)

Question 17923: (3x^0)2(2x^4)simpilify

3y^2/15y^5 simpilify

Simplify (3x^0y^-4)(2x^2y)3

Click here to see answer by xcentaur(357)

Question 17784: a farmer has 280 meters of fencing and wants to enclose a rectangular area of 4000 square meters.what dimensions should he use?
Click here to see answer by xcentaur(357)

Question 16095: Solve by the quadratic formula; simplify your answer; use i notation to express any nonreal complex numbers. Clearly label your values for a, b, and c.
8x^2-10x-2=0
Click here to see answer by xcentaur(357)

Question 15963: can you tell me what -4+7-5x=20 i'm supposed to solve it & find out the x;s

Click here to see answer by xcentaur(357)

Question 17775: a triangular garden has an area of 154 square feet. its height is 8 feet more than its base. find the measure of the base.
Click here to see answer by xcentaur(357)

Question 18097: What id the geometric mean between 1/12 and 427.

Click here to see answer by venugopalramana(3286)

Question 18112: In one of the early rocket experiments on The Planet of the Apes, a banana was launched straight upward so that its height in feet above the ground after t seconds was given by the function h= -42t^2+504t. When did the banana hit the ground?
Click here to see answer by Earlsdon(6294)

Question 18332: Hi all,
I am having a meltdown with Quadratic equations, vertexes and intercepts. Could someone please help me uunderstand this problem?
Find the vertex and intercepts for the quadratic function , and sketch its graph:
y = x^2 - 4x -12
Thank you very much!
Click here to see answer by Earlsdon(6294)

Question 18328: Greetings everyone!
I could really use some help from one of the wise Math wizards out there! Could someone please help me solve this word problem? I am stumped:
If a soccer ball is kicked straight up with an initial velocity of 32 feet per second, then its height above the earth is a function of time given by s(t) = -16t^2 + 32t. Graph this function for "0" less than or equal to "t" less than or equal to 2. What is the maximum height reached by the ball? My head hurts already!
Thanks to all.
Click here to see answer by Earlsdon(6294)

Question 18367: How do you solve X^2+2x+1 by factoring
Click here to see answer by Alwayscheerful(414)

Question 18324: Hello to all!
Could someone kindly explain to me clearly, how to find the Vertex and intercepts of:
y = x^2 - 6x
The answer key says the Vertex is (3, -9), intercepts: (0,0), (6,0).
I certainly thank and appreciate all help given.
AC
Click here to see answer by Alwayscheerful(414)

Question 18460: x^2-6x-7>0

Click here to see answer by xcentaur(357)

Question 18460: x^2-6x-7>0

Click here to see answer by khwang(438)

Question 18330: Hi all,
I am having a meltdown with Quadratic equations, vertexes and intercepts. Could someone please help me uunderstand this problem?
Solve the inequality. State the solution set using interval notation and graph it:
a^2 + 2a is less than or equal to 15.
Thank you very much!
Click here to see answer by xcentaur(357)

Question 18492: Hello again!
I really need help with this problem. Could someone kindly help me?
The class is working with Quadratic functions and graphs � I'm supposed to find the vertex and intercepts , then sketch its graph. l really need help.
y= -x^2 + 2x + 3
This is a head-scratcher for me. Thanks for all of the help. It is appreciated.
Click here to see answer by Alwayscheerful(414)

Question 17145: solve the quadratic equation by using the quadratic formula.
2xsquared + 4x = 1
Thank you so much.
Click here to see answer by xcentaur(357)

Question 17145: solve the quadratic equation by using the quadratic formula.
2xsquared + 4x = 1
Thank you so much.
Click here to see answer by Alwayscheerful(414)

Question 18557: the largest root of an equation (x-1)(x-1)=4x-7
Click here to see answer by xcentaur(357)

Question 18584: If you have a string of length 50 cm, what are the dimensions of the rectangle of maximum area that you can enclose with your string? Explain your reasoning. What about a string of length k cm?
I've gotten up to the quadratic equation for the area, which is X^2 - 25X = Area. Then you have to find the third component of the formula which I don't know how to do. Then you have to state what x and y are, and I don't really know that, either. This is finding a formula, and without information on x and y, I don't see how you can actually find the numbers.
The last part of question asks for a general formula, and the book says it's
k/4 by k/4. So, I have the answer, but no explanation, which is the most important part. This doesn't make sense unless the rectangle is a square, because with a rectangle the two k's would be different. Can you help me with this?
Thank you in advance.
-Jessie
Click here to see answer by Earlsdon(6294)

Question 18701: (x-2) ^2+x^2=10
How would you assess this problem
Click here to see answer by Alwayscheerful(414)

Question 18714: solve 3x2+11x=20
Click here to see answer by Alwayscheerful(414)

Question 18723: Could some one help me understand this problem?
The instructions are to solve the inequality. Find the vertex and intercepts, then graph it:
y = -x^2 - 3x - 2
Thanks very much
Click here to see answer by venugopalramana(3286)

Question 18726: Could some one help me understand this problem?

The instructions are to solve the inequality. Find the vertex and intercepts, then graph it:
y = -3x^2 + 6x
Thanks very much

Click here to see answer by venugopalramana(3286)

Question 18725: Could some one help me understand this problem?
The instructions are to solve the inequality. Find the vertex and intercepts, then graph it:
y = -2x^2 + 8x
Thanks very much
Click here to see answer by venugopalramana(3286)

Question 18724: Could some one help me understand this problem?
The instructions are to solve the inequality. Find the vertex and intercepts, then graph it:
y = -2x^2 + 8x
Thanks very much
Click here to see answer by venugopalramana(3286)

Question 18720: Okay, I really need an understanding on Quadratics. Could some one help me understand this problem?
The instructions are to: Use the discriminate to determine whether this quadratic polynomial can be factored, factor the numbe is it is not prime.
8x^2 - 10x - 3
Thank you all for the help!

Click here to see answer by venugopalramana(3286)

Question 18722: Could some one help me understand this problem?
The instructions are to solve the inequality. State the solution set using interval notation and graph it:
x - 2/x + 3 is less than 1
Thanks for the help
Click here to see answer by venugopalramana(3286)

Question 18721: I really need an understanding on Quadratics and discriminants: Could some one help me understand this problem?
The instructions are to solve the inequality. State the solution set using interval notation and graph it:
x - x^2 is less than or equal to 0
Thanks!

Click here to see answer by venugopalramana(3286)

Question 18719: √9x^2=x+6
How would I solve this?
Click here to see answer by venugopalramana(3286)

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