Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 85396: When using the quadratic formula to solve a qadratic equation ax(squared)+bx+c=0, the discriminant is b(squared)-ac. This discriminant can be positive, zero, or negative.(When the discriminant is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1)=1.)Also, explain what the value of the discriminant means to the graph of y = ax(squared)+bx +c. Thank you for your help.
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Question 85410: Any ideas here?
Graph the function using the equation in part a (x2 - 6x + 8 = 0). Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k. Also, how would this graph compares to the graph of y = x2?
Thanks ahead of time

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Question 85409: Can someone please For the function y = x2 - 6x + 8, perform the following tasks: Put the function in the form y = a(x - h)2 + k and What is the equation for the line of symmetry for the graph of this function?


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Question 85408: Can someone help me with this?
Using the quadratic equation x2 - 6x + 8 = 0, perform the following tasks:
Solve by factoring and Solve by using the quadratic formula.
Thanks!

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Question 85425: I need help solving quadratic equations???
4X(squared)-49y(squared)
Please help...

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Question 85429: Simplify: x+2/x / x-2/3x
Click here to see answer by praseenakos@yahoo.com(507) About Me 

Question 85434: Solve. Express your answer in simplest form.
x/5x+10 / x-3/x+2 = 7/5

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Question 85433: A plane took 1 hour longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second part of the trip?
Click here to see answer by rajagopalan(174) About Me 

Question 5195: please help me solve this equation using the quadratic formula
2x%5E2-3x=2
2x*1=2
2=2

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Question 85440: Solve. Express your answer in simplest form.
x/5x+10 + x-3/x+2 = 7/5

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Question 85436: Solve:
x/x-9 -4=9/x-9

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Question 85432: If one-half of a number is added to one-third of the next consecutive number, the sum is 67. What are the two numbers?
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Question 85431: Subtract. Express your answer in simplest form.

2/5 - y/y-2

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Question 85428: During rush hour, Fernando can drive 20 miles using the side roads in the same time that it takes to travel 15 miles on the freeway. If Fernando's rate on the side roads is 9 mi/h faster than his rate on the freeway, find his rate on the side roads.
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Question 85437: Subtract. Write your answer in simplest form.
y-2/y+3 / y/2y+6

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Question 85435: Divide:
%28x%5E2%2B2x-15%29%2F%284x%5E2%29 / %28x%5E-25%29%2F%282x-10%29

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Question 85444: 1. Find two consecutive integers such that the sum of there square is 85.
2. A garden area is 30ft long and 20ft wide. A path of uniform width is set around the edge. If the remaining garden area id 400ft ^2, what is the width of the path?

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Question 85444: 1. Find two consecutive integers such that the sum of there square is 85.
2. A garden area is 30ft long and 20ft wide. A path of uniform width is set around the edge. If the remaining garden area id 400ft ^2, what is the width of the path?

Click here to see answer by venugopalramana(3286) About Me 

Question 85481: Write in simplest form
3x^5/15x^12

Click here to see answer by checkley75(3666) About Me 

Question 85504: ax2 + bx + c = 0 what is the value of the discriminat to the graph of y=ax2+bx+c.
Click here to see answer by stanbon(75887) About Me 

Question 85480: Simplify
3/x-5(+1)/(1)-4/x-5

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Question 85479: 3/x-5(+1)/(1)-4/x-5
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Question 85503: When using the quadratic formula to solve a quadratic equation
ax(squared)+bx+c=0, the discriminant is b squared-4ac. This discriminant can be positive, zero, or negative.
Please explain what the value of the discriminant means to the graph of y=ax squared bx+c.Choose the values of a,b and c to create a discriminant and graph the corresponding equation.
I do greatly appreciate your website and assistance.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 85478: n^2-9-20/2n^2 x n^2+5n/n^2-25
Click here to see answer by jim_thompson5910(35256) About Me 

Question 85512: PLEASE HELP ME SOLVE THIS ONE AND EXPLAIN IT
y=ax2 + bx + c

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Question 85476: Explain what the value of the discriminate means to the graph of y=ax6+bx+c. Choose values of a,b,c to create a particular discriminate. Graph your corresponding equations.
Click here to see answer by rapaljer(4671) About Me 

Question 85558: x^2-6x+8=0
Solve using the quadratic formula.

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Question 85556: Can you please help me solve the following equation?
9xsquared-18x+10=0
Thank you.

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Question 85630: 15x + 2 sqrt x - 1 = 0 sqrt = square root of x
Solving equations in quadriatic form
please help if can

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Question 85629: 15x^4 - 13x^2 + 2 = 0
Solving equations in quadriatic form
please help if you can.

Click here to see answer by dolly(163) About Me 
Question 85629: 15x^4 - 13x^2 + 2 = 0
Solving equations in quadriatic form
please help if you can.

Click here to see answer by stanbon(75887) About Me 

Question 85605: The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4cm, what are the dimensions (the length and the width) of the rectangle?
The equation h=-16t^2+112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 120ft?
A ball is thrown upward from the roof of a building 100m tall with an initial velocity of 20m/s. When will the ball reach a height of 80m?
The demand equation for a certain type of printer is given by...D=-200p+35,000. The supply equation is predicted to be...S=-p^2+400p-20,000. Find the equilibrium price?

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Question 85616: Graph (show how came up answer)
1. y=x^2-4x
2. y=-x+1
3. y=x+1
4. y=2x^2

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Question 85782: Identify the axis of symmetry, create a suitable table of values and sketch the graph...
1. y=x^2-5x+3
2. y=-x^2+6x-2

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Question 85825: HELP!!!
tonisha hit a ball into the air with an initial velocity of 48 feet per second. the height h in feet of the ball above the ground can be modeled by h=-16t squared+48t+2, where t is the time in seconds after tonisha hit the ball. find the time it takes the ball to reach 38 feet above the ground.

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Question 85900: in the problem f(x)=-x2-4x=5 Do I multiply the -x2 by a negative 1 to make it a positive before finding vertex, x-intercepts and y-intercepts?
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Question 85960: is the sqrt of 77 rational or irrational?
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Question 85955: Factor, -12x^3+36x^2
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Question 85959: Subtract & write in simplest form.
2x/x-3 - 6/x-3

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Question 85962: multiply.
3xy^2(5xy-4x+6y)

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Question 85957: multiply. (3x-1)(2x+5)
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Question 85956: Factor, -12x^3+36x^2
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Question 86031: the product of two consecutive negative integers is 72. What are the two integers?
Click here to see answer by tutor_paul(519) About Me 

Question 85958: Factor. 15x^2-19x-10

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Question 86039: Solve...
1.x^2=12
2.x^2-80=0
3.x^2+5=21
4.9x^2=14
5.(x-4)^2=3
6.(x+4)^2=4
7.5(x-2)^2=3
8.-9(x-3)^2=-7

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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