Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 300239: Give four solutions (ordered pairs) to the quadratic equation: y = -x^2 - 5x.
Click here to see answer by Fombitz(32388)

Question 300285: solve x^2+6x-4=0
Click here to see answer by Fombitz(32388)

Question 3998: What is the next term of the sequence 9, 6, 4, 8/3, . . . ?

Click here to see answer by junit_2010(2)

Question 300404: what is the vertex of a parabala on the graph
Click here to see answer by Fombitz(32388)

Question 300390: 3x2+3=7x
For this problem, what is the quadratic solutions this problem?

Click here to see answer by Fombitz(32388)

Question 300360: The formula P=0.64x^2-0.041x+3 models the approximate population, P, in thousands, for a species of fish in a pond, x years after 1997. During what year will the population reach 54,471 thousand fish?
Click here to see answer by Fombitz(32388)

Question 300436: graph y=-2x^2-8x-8
Click here to see answer by Fombitz(32388)

Question 300474: How do you solve 2a^2 - 5a - 12 = 0 in quadratic form?
Click here to see answer by Fombitz(32388)

Question 300474: How do you solve 2a^2 - 5a - 12 = 0 in quadratic form?
Click here to see answer by JBarnum(2146)

Question 300547: Suppose you are going to construct a circular fish pond in your garden. You want the pond to cover an area of 300ft^2. What is the radius of the pond?
Click here to see answer by nerdybill(7384)

Question 300563: Find the dimensions of a rectangular lawn whose perimeter is 100 feet and whose area is 600 square feet.
--They want me to use the quadratic formula, but I don't know how to set the equation up. That's all I'm having trouble with. I know how to use the quadratic formula fairly well. Can you please help me?
~Thanks!
Click here to see answer by nerdybill(7384)

Question 300627: State the value of the descriminant & describe the nature of the roots in 5x^2=4x+6
Click here to see answer by jim_thompson5910(35256)

Question 300657: DETERMINE THE EQUATION OF THE LINE OF SYMMETRY OF THE PARABOLA
Y=X^2=5
Click here to see answer by Alan3354(69443)

Question 300959: 9x^2-3x-20
Factor each polynomial, if possible. If the polynomial cannot be factored, write prime.
I would appreciate an answer to this so much! Thanks!
Click here to see answer by unlockmath(1688)

Question 300971: the length of a rectangle is 9cm longer then the width. The area of the rectangle is 90cm. What are the dimensions of the rectangle ?
Click here to see answer by unlockmath(1688)

Question 301003: Quadratic application
If the cost ,C(x) for manufactoring x units of a certain product is given by
C(x)=x^2-125x+50, find thye units manufactored at a cost of $9500
Click here to see answer by nerdybill(7384)

Question 300954: An object is dropped off a building that is 144 feet tall.
After how many seconds does the object hit the ground? (s = 16t2)
:
How long to fall 144 ft at a velocity of 16 ft/sec/sec
Click here to see answer by ankor@dixie-net.com(22740)

Question 301116: graph the following exponential function: F(x)= 2^x+3
when x= 0,1,2,3,4,-1,-2,-3,-4

also solve the equation 1/27=3^2*x
Click here to see answer by nyc_function(2741)

Question 301090: (x-9)(x-9)=90
(x+9)(x+9)=90
Click here to see answer by mananth(16946)

Question 301138: x^2- 4=0
Click here to see answer by helpnalgebra(91)

Question 301161: -3x^2-3x=6

solve by completing the square.. i think i did it wrong i came up with no solution.
Click here to see answer by richwmiller(17219)

Question 301223: find the value of k which the equation: 3xsquared-kx+7=0 will have two real solutions
please help if you can thanks
Click here to see answer by checkley77(12844)

Question 301299: y=ax^2-8x-3 x is 2.what is the value of "a"?
Click here to see answer by Fombitz(32388)

Question 301320: how to graph y=x^2-6x+11
Click here to see answer by Alan3354(69443)

Question 301417: x^2 - 10x = -23
Click here to see answer by JBarnum(2146)

Question 301419: x^2 - 4x = 2 (solve by completing the square method)
Click here to see answer by JBarnum(2146)

Question 301413: solve 4xsqared-16x+3=0 by using completing the square
Click here to see answer by solver91311(24713)

Question 301421: Find the vertex y=x^2+8x
Click here to see answer by Fombitz(32388)

Question 301465: Solve by factoring and using the principle of zero products. Show all work necessary.
2k2 = -30k - 100

Click here to see answer by checkley77(12844)

Question 301466: An open box is formed from a rectangular piece of cardboard by cutting 2 cm by 2 cm squares from each corner and then folding up the sides and soldering the seams. The length of the original piece of cardboard was 8 cm more than it's width. If the volume of the open box is , what are the dimensions of the metal box?
Use a polynomial equation.
Also, If you could reply with the initial equation, that would help me understand it better.
P.S. If you can not answer this direct it to the Word Problems: Misc Word Problems tutor.
Click here to see answer by checkley77(12844)

Question 301452: Solve using the quadratic formula: 5x^2-16x-84=0

Click here to see answer by checkley77(12844)

Question 301587: Right now we are solving these Quadratic Equations with the zero factor
property. The problem is a word problem:
If the cost, C, for maunufactoring x units of a certain product is given
by find the number of units maufactored at a cost of $12,640.
I already started the problem by solving for x and rewriting the
equation in standard form:
that is my ending result, I now have to factor
the quadratic expression but I am stuck, I use the "diamond method" to help
me factor- I need to know what two numbers have the product of -12600 and have the sum of -15.
I can solve the rest of the problem after You help me find those two numbers.
Click here to see answer by nyc_function(2741)

Question 301518: If a Quadratic equation has a non-perfect square number how do i complete it
Click here to see answer by richwmiller(17219)

Question 301613: The height of a ball in feet is modeled as f(x)=-16x^2+96x, where x is the time in seconds after it is hit. How long is the ball in the air?
Click here to see answer by nerdybill(7384)

Question 301654: Use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting points to graph the function. Show your work; and submit your graph through the Dropbox.
f(x) = 2x^2+2
*I am completely lost on this so can you please show the work to anyone that helps me out. I don't just want an easy answer. I'm trying to figure out how its done. Thanks sooooo much in advance!! Be blessed!! *
Click here to see answer by richwmiller(17219)

Question 301751: use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
(3)1/2y2 - 4y - 7(3)1/2 = 0
Click here to see answer by richwmiller(17219)

Question 301870: My problem is solving each equation using the quadratic fromula, I know how to do the work, but what i don't know is what formula to use like
-b/2a or -b plus or minus the square root of b squared minus 4 multiplied by a and c over 2a or h=-16t squared plus vt plus s. This is one of the problems
on my worksheet 10x squared minus 6x -1 =0

Click here to see answer by mananth(16946)

Question 301883: An object is propelled vertically upward from the top of a 272-foot building. The quadratic function models the ball's height above the ground, s(t), in feet, t seconds after it was thrown. After how many seconds does the object reach its maximum height? Round to the nearest tenth of a second if necessary.
Click here to see answer by nerdybill(7384)

Question 301937: How do you create a quadratic equation using 2 points already given to you?
Click here to see answer by Alan3354(69443)

Question 301980: 3(7-2y)=9
Click here to see answer by london maths tutor(243)

Question 302081: Use the discriminant to determine whether the given quadratic polynomial can be factored, then factor it if it is not prime. Quadratic Polynomial: -8x^2-3x-5.
Click here to see answer by richwmiller(17219)

Question 302078: Find b^2-4ac
Click here to see answer by richwmiller(17219)

Question 302079: Find two possitive numbers that differ by 2 and have a product of 20. I am looking for an answer involving "+/- the square root of 21".
Click here to see answer by richwmiller(17219)

Question 302077: I have no clue how to solve this problem:
((( -11w^2=-(10w-8))))

Click here to see answer by richwmiller(17219)

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