Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 1095584: What are the different types of parabola forms i.e. ax^2+bx+c
Click here to see answer by ikleyn(52776)

Question 1095649: Factor. Show all steps. Use special patterns if applicable.
100x^2 + 180x + 81
Click here to see answer by Alan3354(69443)

Question 1095650: Y=x^2+2x+1
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Question 1095659: Write the quadratic function in the form y=a(x-h)^2+k; y=3x^2-12x+18
Click here to see answer by josgarithmetic(39616)

Question 1095659: Write the quadratic function in the form y=a(x-h)^2+k; y=3x^2-12x+18
Click here to see answer by ikleyn(52776)

Question 1095689: The product of two consecutive numbers is 650. Find the number.
Click here to see answer by Alan3354(69443)

Question 1095691: Two positive numbers, which have a difference of 3, are squared. The difference in the results is 81. Find the two numbers with working.
Click here to see answer by Alan3354(69443)

Question 1095688: A car at a certain speed travels 120 kilometers during the first part. On the second part, it reduces its speed by 10 kph when it travels 100 kilometers. Find the speed on each part of the trip if the whole trip lasted for 4 hours.
Click here to see answer by josgarithmetic(39616)

Question 1095554: if the roots of the equation x^2+x+m=0 be real and unequal.Prove that the roots of the equation 2x^2+4(1+m)x+2m^2+3=0 are imaginary. where m is real.
Click here to see answer by Edwin McCravy(20054)

Question 1095686: alvin and resty can finish painting the room in two hours working together. Alvin can finish the same job in 3 hours lees than resty.How long will it take resty to paint the room when he works alone?
Click here to see answer by ikleyn(52776)

Question 1095687: Two hoses, when connected to a swimming pool,can fill the pool together in 4 hours. If the larger hose alone is used, it can fill the pool in 6 hours less than the smaller hose. How long will it take the smaller hose to fill the swimming pool alone?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1095760: When the length of each side of a square is increased by 7in.,its area is increased by 189 in.2.Find the length of the side of the original square.
Click here to see answer by greenestamps(13198)

Question 1095758: When the length of each side of a square is increased by 7in.,its area is increased by 189 in.2.Find the length of the side of the original square.
Click here to see answer by josgarithmetic(39616)

Question 1095762: Lucas is running a race. He runs the first 800m at x m/s. He slows down by 3m/s for the final 400.His total time is 130 seconds. Find x.

Click here to see answer by josgarithmetic(39616)

Question 1095789: Write an equation (a) in standard form and (b) slope-intercept form for the line described. through(2,5), parallel to y=-4

Click here to see answer by Alan3354(69443)

Question 1095853: a quadratic equation with no real solutions. Explain how you know there are no solutions.
Click here to see answer by Boreal(15235)

Question 1095854: Describe three different ways to solve x2 - 2x - 15 = 0.
Click here to see answer by richwmiller(17219)

Question 1095933: b. Try the above method to factor x^2 −2x −8 . Why is it difficult to find the correct factors for this trinomial using this method?
I already know the answer to B.
x^2 - 2x-8
(x^2 +2x) +(-4x - 8)
= x(x+2)-4 (x+2)
= (x+2) (x-4)

c. Evaluate the expression in part b for x=7 . Then use the above method to find the factors.
Explain each step. Remember in finding your factors that x=7

I'm having trouble with question C.
Click here to see answer by josgarithmetic(39616)

Question 1095982: A cistern can be filled by two pipes. The small pipe alone will take 24 minutes longer than larger pipe to fill cistern alone.the small pipe will take 32 minutes longer to fill cistern alone than when two pipes are operating together.How long will it take larger pipe to fill the cistern alone?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1096211: The sum of the square of three consecutive natural number 149 fine the balue
Click here to see answer by richwmiller(17219)

Question 1096211: The sum of the square of three consecutive natural number 149 fine the balue
Click here to see answer by josgarithmetic(39616)

Question 1096091: Y=x^2+8x-2 in vertex form
Click here to see answer by Theo(13342)

Question 1096280: Determine the quadratic function f whose vertex is (2,-7) and y intercept is -3
Click here to see answer by sandeepvijay(8)

Question 1096370: Suppose the height h of a ball thrown straight upward from the ground is given by h = 44.1t - 4.9t^2, where h is in meters and t is the elapsed time in seconds. When is the ball at a height of 88.2m as it moves up?
Click here to see answer by Alan3354(69443)

Question 1096390: What is the justification for each step in solving the inequality?
3x+12<−x+43x+12<−x+4
Select from the drop-down menus to correctly justify each step.

3x+12<−x+43x+12<−x+4 Given
3x+1<−2x+83x+1<−2x+8
3x<−2x+7
5x<75x<7
x<75
Click here to see answer by Alan3354(69443)

Question 1096362: Find the quadratic function whose zeroes are 1- √ 3/2 and 1+ √ 3/2
(only the 3's are under √ , not the whole fractions seen above)
Click here to see answer by KMST(5328)

Question 1096572: Find one value of k for which the given equation has equal roots: 4x^2+2kx+9=0
Click here to see answer by Alan3354(69443)

Question 1096572: Find one value of k for which the given equation has equal roots: 4x^2+2kx+9=0
Click here to see answer by MathTherapy(10551)

Question 1096609: Let f(x) = x^2 + 4x - 31. For what value of a is there exactly one real value of x such that f(x) = a?
Click here to see answer by ikleyn(52776)

Question 1096574: An engineer wants to surround a rectangular a pool with dimension 10m by 20m with a stone border of uniform width. there are enough stones to cover 64 square meters . how wode should the border be?
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Question 1096608: Suppose the decimal 0.28 is equal to {1}/{n}+{2}/{n^2}, where n is negative. Find n.
Click here to see answer by greenestamps(13198)

Question 1096607: The number of millions of millipedes
Click here to see answer by richwmiller(17219)

Question 1096606: The number of millions of mosquitos
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Question 1096662: A children's park is 30m long and 200m wide. it is surrounded by a pathway of uniform width. Suppose the total area of the park and the pathway is 72 216 square meters. How wide is the pathway?
Click here to see answer by josgarithmetic(39616)

Question 1096665: Mario and Kenneth are garbage collectors.The time that Mrio takes in unloading the garbage from the dump truck alone is 20 minutes less than the time that Kenneth takes in unloading the same amount of garbage. If both of them work together in unloading the garbage it will take them 90 minutes. How long will it take each of them to unload the garbage?
Click here to see answer by Theo(13342)

Question 1096664: The formula h = �(-32)t^2 + 64t approximates the height, in feet , a thrown ball will reach after t seconds. How long will it take the ball to reach a height of 48 feet?
Click here to see answer by Alan3354(69443)

Question 1096663: The members of Peace Club decided to raise Php4000 to help in shouldering the cost of peace advocacy campaigns. The amount to be raised was divided equally among the members. Due to increase of 20 members , the amount to be raised by each member went down by Php10. How many members were originally in the club?
Click here to see answer by jorel1380(3719)

Question 1096981: What is the average rate of change of the height of the water in a river if the function h open parentheses x close parentheses equals minus x squared plus 4 x plus 10 describes the height of the water for time x in hours and h(x) in feet on the interval x = 0 to x = 3?
Click here to see answer by Boreal(15235)

Question 1097067: Write the Quadratic Equation in Standard Form
Standard Form: f(x)=a(x-h)^2 + k
f(x)=-(x^2 +2x -3)
Click here to see answer by josgarithmetic(39616)

Question 1097082: What is a quadratic equation that plots in the shape of a heart
Click here to see answer by ikleyn(52776)

Question 1097035: Marlon wants to fence a rectangular area that has one side bordered by an irrigation. If he has 80 m of fencing materials, what are the dimensions and the maximum area he can enclose?
Click here to see answer by Fombitz(32388)

Question 1097212: Write the quadratic function in standard form and find the vertex.
f(x)=1/2x^2+10x+4
Click here to see answer by Boreal(15235)

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