Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 205145: Can someone help me? im stuck on this...
Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as:
1...Integers
2...Rational numbers
3....Irrational numbers

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

Question 211227: 6x^2+4x+9x+6
Click here to see answer by Earlsdon(6294)

Question 211214: A factory produces skateboards. The cost of producing x hundreds of units a day can be approximated by the formula C = 0.89x^2 - 9.32x + 3677. Find the daily production level that will minimize the cost.
Click here to see answer by Earlsdon(6294)

Question 211249: I'm trying to find the x-intercepts for the equation Y=16-4x^2. What I've tried to do is change the y to 0, and factor the rest of the equation, but I keep getting left with a 4 that I can't seem to get rid of. My Algebra skills are a little rusty...please help.
0=4(4-x^2)
0=4(2+x)(2-x)
0=-2
0=2
(-2,0) and (2,0) are the x intercepts and the answers at the solutions part of the book, but why is that 4 still there?

Click here to see answer by Earlsdon(6294)

Question 211226: 3xsquared + 4x =-2
Click here to see answer by jim_thompson5910(35256)

Question 211163: A hose can fill a swimming pool in 6 hours. Another hose needs 3 more hours to fill the pool than the two hoses combined. How long would it take the second hose to fill the pool.
Click here to see answer by Alan3354(69443)

Question 211297: Three hundred feet of fencing is available to enclose a rectangular yard along side of the St. John�s River, which is one side of the rectangle. What dimensions will produce an area of 10,000 ft2? What is the maximum area that can be enclosed?
Click here to see answer by rfer(16322)

Question 211295: The base of a triangle is one more than four times the height. Determine the dimensions that will give a total area of 9 cm^2. What is the minimum area of such a triangle?
Click here to see answer by RAY100(1637)

Question 211296: The perimeter of a rectangle is 50 yds. What are the dimensions that will produce the maximum area of such a rectangle?
Click here to see answer by checkley77(12844)

Question 211335: Is it possible for a quadratic equation to only have one solution? Provide example.
Click here to see answer by rfer(16322)

Question 211293: The width of a rectangle is five less than twice the length. What is the minimum area of such a rectangle?
Click here to see answer by checkley77(12844)

Question 211281: The perimeter of a rectangle is 70 m. What are the dimensions that will produce the maximum area of such a rectangle?
Click here to see answer by checkley77(12844)

Question 211284: The value of Jon�s stock portfolio is given by the function V(t)= 50 + 77t + 3t^2
where v is the value of the portfolio in hundreds of dollars and t is the time in months. How much money did Jon start with? What is the minimum value of Jon�s portfolio?
Click here to see answer by Alan3354(69443)

Question 211344: solve for 8m^3-40m=4m^2
Click here to see answer by Earlsdon(6294)

Question 211280: Charles wants to build a vegetable garden such that three sides of the garden are fenced and the fourth side of the garden will be the existing back fence. He has 30 feet of fencing available. Find the dimensions of the garden that will produce the maximum enclosed area.
Click here to see answer by checkley77(12844)

Question 211353: 2x^2-9x-1=o what is the answer using the quadratic formula
Click here to see answer by checkley77(12844)

Question 211362: Solve by using the square root property:25x^2+16=0
Click here to see answer by rapaljer(4671)

Question 211291: Five hundred feet of fencing is available to enclose a rectangular lot along side of highway 65. Cal Trans will supply the fencing for the side along the highway, so only three sides are needed as seen below. What dimensions will produce an area of 40,000 ft2? What is the maximum area that can be enclosed?
Click here to see answer by checkley77(12844)

Question 211374: factor 20x-20y-200
Click here to see answer by rapaljer(4671)

Question 211375: give exact and approximate solutions to three decimal places for
y^2-12y+36=100
Click here to see answer by jim_thompson5910(35256)

Question 211375: give exact and approximate solutions to three decimal places for
y^2-12y+36=100
Click here to see answer by rapaljer(4671)

Question 211395: Find two consecutive even integers whose product is 48.
and

Find two consecutive odd integers whose product is 63.
Click here to see answer by Alan3354(69443)

Question 211397: if 6 is added to a number and then subtracted from the same number, the product of the sum and the difference is 189. What is the number?

Click here to see answer by rapaljer(4671)

Question 211327: Using the formula. Solve each equation by using the quadratic formula
#10: x^2 + 4x + 3 = 0
Number of Solutions
#42: Find b^2 - 4ac and the number of real solutions to each
equation.
9m^2 + 16 = 24m
Click here to see answer by jim_thompson5910(35256)

Question 211413: I am stumped...I can not figure these two problems out for the life of me...can someone please assist me with these two problems?
Find all real solutions to each equation.
64)
Find all real and imaginary solutions to each equation.
70)
Click here to see answer by Edwin McCravy(20054)

Question 211442: I need help finding the solution set for (x-2)(x-3)=2
heres my work: -2x-3x+6x^2-2=0
put them in order 6x^2-5x-2=0 A=6 B=-5 C=-2
5+-square root -5^2-4*6*-2/2*6
5+-SR 25+48/12
5+-SR 73/12
I am pretty sure that 73 is a prime number and don't know how to factor it and solve for x from here.

Thanks for what you do!
Click here to see answer by Alan3354(69443)

Question 211361: I desperately need help. I have a 60 average right now and 2 weeks left. Please help me understand what I need to do. I have 2 weeks left to pass this class.
Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph; State the equation of the line asymptotic to the graph.
1. y= 5^x
2. y= log 7 ^x
Click here to see answer by Theo(13342)

Question 211462: (x-3)(x-2)=(x+5)(2x-3)+21 Solve for the negative value of X.
Click here to see answer by jim_thompson5910(35256)

Question 211521: I need help finding the distance between the points (3, 8) and (-1, 9)please and a set of easy steps to follow if so I can do more questions like it Thank you!
Click here to see answer by jim_thompson5910(35256)

Question 211730: I have the problem almost complete but I can get this, Here is the problem:
2/x - 1 = -6 5/x - 2
I got this far an I get stock

( ? )( ? )
I can get two #'s to solve this equation? Maybe it can be solve... I need some help...
Click here to see answer by gypsy1274(9)

Question 211828: Find the x-intercept.
y=x^2+4x-1
I am stuck on this..please help!
Click here to see answer by drj(1380)

Question 211831: evaluate the discriminate b^2-4ac, then use the answer to state how many real-number solutions exist for the equation y=x^2+8x+16
Click here to see answer by Theo(13342)

Question 211893: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function of f(x)=2x^2 - 12x + 18.
a. Type an ordered pair.
b. What is the equation of the line of symmetry? x = _____
c. What is the maximum/minimum of f(x)?
d. Is the value, f(3)=0 a minimum or a maximum?
Click here to see answer by Earlsdon(6294)

Question 211918: This is from a chapter on solving a quadratic equation by compleating a square. Please help me solve.

Thank you.
Click here to see answer by drj(1380)

Question 211918: This is from a chapter on solving a quadratic equation by compleating a square. Please help me solve.

Thank you.
Click here to see answer by MathTherapy(10549)

Question 211934: How do you solve 6(7ab)? I think you should just multiply the 7ab by the 6 so that your answer would be 42ab, but it might be that you have to multiply the 6 to the 7, the a, and the b so that your answer would be 42 + 6ab. I don't know. Please help me! Thank you!!! :)
Click here to see answer by Earlsdon(6294)

Question 211938: /graphs of quadratic equations/
Please help me evaluate the discriminant b^2-4ac. Then use the answer to state how many real-number solutions exist for the equation.

Thank you.
Click here to see answer by Earlsdon(6294)

Question 211995: a farmer wants to set up a pigpen using 40 feet of fence to enclose a rectangular area of 51 square feet. what are the dimensions of the pigpen?
Click here to see answer by drj(1380)

Question 212034: Find three consecutive positive odd integers such that 4 times the sum of all three equals 13 more than the product of the smaller two.
Click here to see answer by stanbon(75887)

Question 212031: The product of two consecutive integers is 4 less than 4 times their sum. Find the integers.
Click here to see answer by edjones(8007)

Question 212028: A book is three times as long as it is wide. Find the length and width of the book if the area is 128 more than the perimeter of the book.
Click here to see answer by edjones(8007)

Question 212171: I am not sure if this is a quadratic actually, but I wasn't sure what selection in the drop down menu fit this problem.
The equation I am stuck on is s=1/3gt^2 (gt squared) and it says to solve for t
I tried a few methods to try to get t over on the left alone but I keep getting stuck.
Click here to see answer by RAY100(1637)

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