Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 714879:
The length of a rectangle is 6 inches more than its width. The area of the rectangle is 91 square inches. Find the dimensions of the rectangle.
Click here to see answer by checkley79(3341)

Question 714958: Please help me solve the following problem with working:

My answer is..

The answer is apparently and .
Cheers,
Dio
Click here to see answer by jim_thompson5910(35256)

Question 714958: Please help me solve the following problem with working:

My answer is..

The answer is apparently and .
Cheers,
Dio
Click here to see answer by lynnlo(4176)

Question 714958: Please help me solve the following problem with working:

My answer is..

The answer is apparently and .
Cheers,
Dio
Click here to see answer by Alan3354(69443)

Question 715080: Solve the quadratic equation below by factoring and applying the zero product principle. (3x+4)� - 25=0
Click here to see answer by ankor@dixie-net.com(22740)

Question 715160: What is the standard formula for the quadratic function that has a vertex of (0.5,4) and passes through points (-1.5,0) and (2.5,0)?
Click here to see answer by lwsshak3(11628)

Question 715207: why would 4 plus/minus the square root of 32 divided by 2 equal 2 plus or minus the square root of 8 and not be 2 plus or minus the square root of 16 ?
Click here to see answer by Alan3354(69443)

Question 715247: The area of the rectangular plot is 140m^2. The length of the plot (in metres) is one less than three times its breadth. We have to find length & breadth pf the plot.

Click here to see answer by mananth(16946)

Question 715302: how to solve equcations
Click here to see answer by Alan3354(69443)

Question 715438: I do not understand how to solve the following quadratic equation: 2x/x-3 + 1/x =4
Click here to see answer by josgarithmetic(39616)

Question 715505: 1. Jake drives a tractor from one town to another, a distance of 120 kilometers. He drives 6 kilometers per hour faster on the return trip, cutting 1 hour off the time. How fast does he drive each way?
Going?, Returning?
2.The oriental rug shown is 3 feet longer than it is wide. If the diagonal of the rug is 12 feet find its dimensions to the nearest tenth of a foot.
width?, length?
3. A large rectangular movie screen in an IMAX theater has an area of 10,176 square feet. Find the dimensions of the screen if it is 10 feet longer than it is wide. Length?, Width?
4.

Click here to see answer by mananth(16946)

Question 715589: what is in the standard form of a quadratic?
Click here to see answer by josgarithmetic(39616)

Question 715456: Find the value of the discriminant for 7x^2+5x+1=0. Then describe the number and type of roots for the equation.

Click here to see answer by jsmallt9(3758)

Question 715515: If the bottom of a 17 foot ladder is 8 feet from the base of a chimney, how far is it from the bottom of the chimney to the top of the ladder?
Click here to see answer by jsmallt9(3758)

Question 715455: Graph the function y<-3x^(2)+4x-5
Click here to see answer by jsmallt9(3758)

Question 715686: Solve the Quadratic equation for x. x^2 + x + 1=0
Click here to see answer by lynnlo(4176)

Question 715871: What the anwser to the square root of 36 minus m =2 and 3 tenths

Click here to see answer by MathLover1(20849)

Question 716053: Hello i need help in finding a solution. Form a quadratic equation and solve also a =/= 0
Click here to see answer by lwsshak3(11628)

Question 716026: can you help me find the roots of the quadratic equation x2+6x-41=0 and walk me through step by step
Click here to see answer by lwsshak3(11628)

Question 716065: Alicia is thinking of a number. She subtracts the square of this number from six times the number and then subtracts eight from the result.
a) use x to write the expression that describes the information
b) factorise the expression in part a)
c) what could this help us to find out?
Click here to see answer by ankor@dixie-net.com(22740)

Question 716248: I have a word problem.
"A picture has a square frame that is 2 inches wide. The area of the picture is one-third of the total area of the picture and frame. What are the dimensions of the picture to the nearest quarter of an inch?"
I know that it is a quadratic equation and my teacher said that I have to solve it by completing the square.
Click here to see answer by lwsshak3(11628)

Question 716254: Find the equation of the quadratic function with roots -8 and -6, "a" less than zero, and a vertex at (-7, 2).
Click here to see answer by jsmallt9(3758)

Question 716148: 4x^2+13x+9=0
6x^2+23x-35=0
4x^2-11x+9=3x+6
Click here to see answer by jsmallt9(3758)

Question 716362: I am not quite sure where this falls into but here is the question.

rearrange this formula for the indicated variable
A=a+bh for b

Click here to see answer by lynnlo(4176)

Question 716317: x{2}+2x+5
Click here to see answer by lynnlo(4176)

Question 716715: Explain how you might go about constructing a quadratic equation whose solutions are -5 and 7.
The connection between the graph and the equation is an important and helpful one! Briefly discuss the effect of the sign of the coefficient a on the graph of y = ax2 + bx + c. Please include two examples of graphs to support your thoughts, one where a < 0 and one where a > 0
I have no idea how to explain or anything. Can someone help please?
Click here to see answer by josmiceli(19441)

Question 716868: An easy way to find the vertex of a quadratic equation in both factored and ax^2+bx+c form
Click here to see answer by Alan3354(69443)

Question 716913: whats the solution for (x+2)(-3)=24 when you FOIL
Click here to see answer by rfer(16322)

Question 717292: (x+2)(x+3)=(x+7)(x-4)
Click here to see answer by mathworm7271(5)

Question 717297: Factor each polynomial, if possible. If the polynomial cannot be factored using integers, write prime.

Click here to see answer by lynnlo(4176)

Question 717329: x(x+13)=-40
Click here to see answer by lynnlo(4176)

Question 717459: Solve using the quadratic formula x^2-63=0
Click here to see answer by lynnlo(4176)

Question 717520: when solving -x2+2x+1=y when x is -1, would it be -1 + -2 +1= y or 1 + -2 + 1=y?
Click here to see answer by jsmallt9(3758)

Question 717659: factorise 6f2-10f+4
Click here to see answer by stanbon(75887)

Question 717684: what is the common factor for 10x^2+25x-15?
Click here to see answer by stanbon(75887)

Question 717695: Each of 5 men played a game of chess with each of 5 women, and then each woman played a game of chess with the other women. How many games of chess were played?
Click here to see answer by stanbon(75887)

Question 717790: Find the qundratic equation whose roots are (3+sqrt(5)) and (3+squt(5))
Click here to see answer by jsmallt9(3758)

Question 717843: 5(x-3)^2+4=7 how would you solve this I have no idea
Click here to see answer by stanbon(75887)

Question 717843: 5(x-3)^2+4=7 how would you solve this I have no idea
Click here to see answer by lynnlo(4176)

Question 717877: solve the quadractic by the square root property
(3x-9)^2=12

Click here to see answer by algebrahouse.com(1659)

Question 717959: Solve by completing the square and then tell which form is x^(2)-10x+11
form is either (x-?)^(2)=? or
(x+?)^(2)=?
Click here to see answer by oscargut(2103)

Question 717930: Solve using quadratic formula
0.7x^2 = 4.2x + 0.7
Click here to see answer by jsmallt9(3758)

Question 717998: 5x^2-2x-2=0 solve by completing the square
Click here to see answer by stanbon(75887)

Question 718038: How do I solve 2x + 5 = -1/x.
Click here to see answer by josgarithmetic(39616)

Question 718049: 6x2+2x+1=0
Click here to see answer by Menjax(62)

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