Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 434657: I need to know if x^2-9x-10,000=0 can be factored. And what would it be factored into?
Thanks,
Jennifer

Click here to see answer by solver91311(24713)

Question 434844: Findthe value of c that makes the expression a perfect square trinomial. Then write the expression as a square of a binomial. x^2 +3x + c
Click here to see answer by stanbon(75887)

Question 434839: Solve the equation by completing the square. Round solution to the nearest hundredth if necessary.
X^2 + 6x =2
Click here to see answer by nerdybill(7384)

Question 434839: Solve the equation by completing the square. Round solution to the nearest hundredth if necessary.
X^2 + 6x =2
Click here to see answer by solver91311(24713)

Question 434850: Twice the square of an integer is 3 less than 7 times the integer. Find the integer.
2x^ = 1st integer
7x-3 = 2nd integer
2x^=7x-3
2x^ + 7x + 3 = 0
(2x+1)(x+3)
2x+1 = 0 x+3=0
2x=-1 x=-3

x=-1/2 & x = -3
this is as far as i could get? Is this right? We are to solve this using the GSSC model.

Click here to see answer by Alan3354(69443)

Question 435305: Write the following number in expanded form.
2.04 x 104=?
Please show me the steps to get the answer. Thanks
Click here to see answer by stanbon(75887)

Question 435301: Find the volume of a cube if each side is 8 inches long.
? inches^3
Please show me the steps to get the answer. Thanks
Click here to see answer by richard1234(7193)

Question 435317: how do you do problems like 1/2x^2-4?
Click here to see answer by stanbon(75887)

Question 435303: Write the following number in expanded form.
3.13 x 102= ?
Please show me the steps to get the answer. Thanks
Click here to see answer by Alan3354(69443)

Question 435303: Write the following number in expanded form.
3.13 x 102= ?
Please show me the steps to get the answer. Thanks
Click here to see answer by poopstainonmath(4)

Question 435382: The base of a triangle is 6 centimeters greater than its height.The area of the
triangle is 80 square centimeters. Find its base and height.
Click here to see answer by solver91311(24713)

Question 435439: Solve the following system of linear equations by the elimination method. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
5/12x-1/2y=-61/6
1/5x-1/3y=-167/15
x=?
y=?
Please show me the steps to get the answer. Thanks
Click here to see answer by mananth(16946)

Question 435477: y=-2x^2-10x
Click here to see answer by Alan3354(69443)

Question 435483: What is the type and how many solutions are there to the following quadratic equation?
x^2-3x+3=0
A. one rational solution
B. two complex solutions
C. two rational solutions
Thanks.
Click here to see answer by solver91311(24713)

Question 435322: Researach for a given orchard has shown that, if 100 pear trees are planted, then the annual revenue is $90 per tree. If more trees are planted they have less room to grow and generate fewer pears per tree. As a result, the annual revenue per tree is reduced by $.70 for each additional tree planted. No matter how many trees are planted, the cost of maintaining each tree is $7.40 per year. How many pear trees should be planted to maximize the profit from the orchard tree for one year?
Click here to see answer by ankor@dixie-net.com(22740)

Question 435569: How do you factor 3x^2+490x+6000 ? Thanks. :)
Click here to see answer by Edwin McCravy(20054)

Question 435725: what is x +9x+14
Click here to see answer by rwm(914)

Question 435725: what is x +9x+14
Click here to see answer by richard1234(7193)

Question 435794: 8x^(2)+7x-1=0

Click here to see answer by ewatrrr(24785)

Question 435824: Completing the square for the following:
4x^2+4x=3
Click here to see answer by ewatrrr(24785)

Question 435903: find the roots of the equation x^2-3x+2=0 by using the quadratic equation
Click here to see answer by nerdybill(7384)

Question 435900: solve the equation n^2+6n+4=0 by compleating the square
Click here to see answer by nerdybill(7384)

Question 435964: I am supposed to come up with a quadratic equation and then solve it related to my field of interest. I am interested in the medical field but do not believe there is a quadratic function related to that field, so I was thinking of a quadratic equation about building a garden. I don't know how to create the equation. What the question should be and how to put it into a formula to then solve. I dont know how to create a story problem that uses a quadratic equation and then apply it? What kind of problem can I apply the quadratic principle to? I hope this is making sense. Can you help me come up with a story problem question that I can solve with a quadratic equation that pertains to gardening or the medical field?
Click here to see answer by stanbon(75887)

Question 436003: The hypotenuse of an isosceles right triangle is 3 cm longer than either of its legs. Find the exact length of each side
Click here to see answer by jorel1380(3719)

Question 436173: Use a graph to estimate the solutions of the equation. Check the solution algebraically.
x^2+12x+20=0
Click here to see answer by mananth(16946)

Question 436247: Can somebody help me with these series of questions?
Thank you so much. I appreciate it a lot.
Alexa
28. a. Write an expression for the total area of the model below.
http://i1202.photobucket.com/albums/bb364/Small-Beatle/sa029-1.jpg
b. The total area is 110 m2. Write an equation to find x.
c. Solve the equation by completing the square. (4 points)
Click here to see answer by jorel1380(3719)

Question 436302: Hi everybody! These are just some questions I need help on. They are simple, but there are so many of them that I have to work on, these just tip over the scale in my brain. I appreciate you taking your time and solving these equations so much.
Alexa :)
29. a. Which kind of function best models the data?
b. Write an equation to model the data.
c. If the pattern shown in the table continues, what is the value of y for x = 6? Round to the nearest hundredth if necessary.
x |y
0 |30
1 |15
2 |7.5
3 |3.75
4 |1.875
28. a. Write an expression for the total area of the model below.
http://i1202.photobucket.com/albums/bb364/Small-Beatle/sa029-1.jpg
b. The total area is 110 m2. Write an equation to find x.
c. Solve the equation by completing the square. (4 points)

26. The area of a playground is 221 yd^2. The width of the playground is 4 yd longer than its length. Find the length and width of the playground.
(Hint: Include correct units in your final answer.) (3 points)

25. The formula gives the velocity v = sqrt. 64h in feet per second of an object that has fallen h feet. Find the velocity of an object that has fallen 93 feet. Round to the nearest hundredth.
(Hint: Include correct units in your final answer.) (2 points)

24. Identify the vertex of the graph. Tell whether it is a minimum or maximum.
http://i1202.photobucket.com/albums/bb364/Small-Beatle/mc024-1.jpg
Click here to see answer by rwm(914)

Question 436249: Hi everyone, could you help me solve this equation?
Thank you so much,
Alexa
26. The area of a playground is 221 yd^2. The width of the playground is 4 yd longer than its length. Find the length and width of the playground.
(Hint: Include correct units in your final answer.) (3 points)
Click here to see answer by ankor@dixie-net.com(22740)

Question 436252: Hi there! This is a simple question, but I have so many problems to work on, I need help with the simpler ones so I can work on the tougher ones. Thank you for your time!
Alexa
24. Identify the vertex of the graph. Tell whether it is a minimum or maximum.
http://i1202.photobucket.com/albums/bb364/Small-Beatle/mc024-1.jpg
Click here to see answer by richard1234(7193)

Question 436722: trying to factor 2x^3+7x^2-3x-18 completely given that x+2 is a factor. Tried to factor the first 3 numbers and the last three but getting stuck and don't understand how x+2 fits in. Help! (and thanks!)
Click here to see answer by scott8148(6628)

Question 436772: the equation h=16t+112t givews the height of an row shot upward from the ground with an initial velocity of 112ft/s where t represents the time afte the arow leves the ground find the height of the srow after 2 seconds and 3.5 seconds
Click here to see answer by Alan3354(69443)

Question 436750: the square o a number, decreased by2 is equal to the negative of that number constuct a quadatic fo that statement and then solve that equation by factoring to find the answer
Click here to see answer by jorel1380(3719)

Question 436832: Write a quadratic equation having the given numbers as solutions
-8 and -2
Click here to see answer by mananth(16946)

Question 436871: Factor 2x^3+7x^2-3x-18 completely, given that x+2 is a factor.
I divided the string by x+2 and came up with 2x^2+3x-3, but the answer is supposed to be 2x^2+3x-9. How do I get the 9?
Click here to see answer by Gogonati(855)

Question 436892: I am lost on a quadratic equation when I get to the part where -8+,- (square root of)704 (over)4. The problem is A=2, B=8, C=-80
Click here to see answer by MathLover1(20849)

Question 436930: what are the bimomial factors of t^2-12t-45
Click here to see answer by ewatrrr(24785)

Question 436868: Find an expression for the perimeter of a rectangle with the given area. Area = x2+13x-90
Click here to see answer by jorel1380(3719)

Question 436907: 2a^2+6a-8
Click here to see answer by jorel1380(3719)

Question 436995: How would one go about writing 48/n(n-2)+22 as a quadratic equation?
I'm working on the problem:
A retailer spent $48 to purchase a number of special mugs. Two of them were broken in the store, but by selling each of the remaining mugs for $3 above the original cost per mug, she made a total profit of $22.
Construct an equation that will allow us to solve for the number of mugs, denoted by n, that were originally purchased.
Just by looking at the question I know that the mugs she bought were $4 each and she got 12 of them then sold 10 of them. But I'm lost trying to write out the quadratic equation.
I know it should look like
Thank for any help on this!
Click here to see answer by ankor@dixie-net.com(22740)

Question 437124: Make a graph of y=6x^2-4x-3 and find the vertex, y-intercept, extra points.
I don't understand how I can find the vertex, y-intercept and extra points.
Click here to see answer by mananth(16946)

Question 437139: x2+81=0
Click here to see answer by stanbon(75887)

Question 437113: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer boxes.)
x^2+7x+12=0
x = ?
x = ?
Please show me steps to get the answer. Thanks
Click here to see answer by richard1234(7193)

Question 437162: how to solve the square root of 6 times the square root of 8?
Click here to see answer by rfer(16322)

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