Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 144939: The length of a rectangle is 8 feet longer than its width, which has the same dimension as the side of a square. If the area of the rectangle is equal to 160 square feet more than the area of the square, what are the length and width of the rectangle?
(Draw a diagram.)

Click here to see answer by solver91311(24713) About Me 

Question 145093: which of the following is a step in the solution of the given equations?
x^2+y^2=65
(1/2)xy=14
a. x+y=121
b.x^2-11x+28=0
c.x^2+2xy+y^2=79
d.11+-(121+112)^(1/2)
---------------------
2

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Question 145133: solve the following using the quadratic formula
x^2+6x+1=0
4x^2-12x+9=0

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Question 145128: Plot the graphs of the following functions.
f(x)=(1/2)x

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Question 145127: Plot the graphs of the following functions.
f(x)=3x - 2

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Question 145366: Plot the graphs of the following functions
f(x)=6x

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Question 145367: Plot the graphs of the following functions
f(x)= log2x

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Question 145389: can someone please help me solve by using the quadratic formula:
4r^2+4r=7 and 6x^2+53x=6x-35

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

Question 145126: Plot the graphs of the following functions.
f(x)=6x

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Question 145405: Solve x%5E2-5x=11
Click here to see answer by jim_thompson5910(35256) About Me 

Question 144785: Determine whether the following equations have a solution or not? Justify your answer.
m2 + m + 1 = 0

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Question 145443: which choice is equivalent to the fraction below? Hint: rationalize the denominator and simplify.
2-2√2/2+2√2
a. 1-√2
b. -3+2√2
c. 2+√2
d. 2-√2

Click here to see answer by edjones(8007) About Me 

Question 145484: solve the inequality -2(3+x)<4x+4<8x. Give the result in set notation and graph it.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 145521: If f(x)=2x^2-7x+3 find f(2) and find f(-3)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 145522: x^2+7x+10=0
3x^2-6x=0

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

Question 145458: Please find the -y intercept
x intercepts if any
vertex
and line of symetry of the following quadratics.


1.y=x%5E2%2B2x%2B12

2.y=x%5E2-6x%2B5

3.y=x%5E2-8x%2B15

Click here to see answer by Alan3354(69443) About Me 

Question 145463: please subtract the following rational expressions



x+2 6
--- - ---
x-4 x-4





x^2 -1
--- - ---
x-1 x-1





4x+y 2x-2y
---- - -----
2x+3y 2x+3y




-3 2-x
--- - ---
x-5 x-5

Click here to see answer by checkley77(12844) About Me 

Question 145577: In your industrail oven, you bake two baking sheets with 12 scones each, two baking sheets with 20 cookies each, and one baking sheet with 2 scones and 10 cookies. Write an expression that illustartes the total cost of all baked goods in the scenario above using the variable s to represent the cost of scones and the variable c to represnt the cost of cookies. Simplify your expression by combining like terms.
Click here to see answer by stanbon(75887) About Me 

Question 145612: factor x^2+7x+10=0
Click here to see answer by jim_thompson5910(35256) About Me 

Question 145660: 8cm
12cm

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Question 145804: This is a verbal question that has to do with Quadratic Equations.
Suppose 5 bales of hay are weighed 2 at a time in all possible ways. The weights in pounds are 110, 112, 113, 114, 115, 116, 117, 118, 120, and 121. How much does each of the 5 bales weigh?
I'd appreciate any help with this problem. Thanks.

Click here to see answer by scott8148(6628) About Me 

Question 146017: x^2+5x + 6 = 0
solve using the quadriatic equation

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 146024: The width of a rectangular gate is 2 meters larger than its height. The diagonal brace measures square root of 6 meters. Find the width and height.
Click here to see answer by nerdybill(7384) About Me 

Question 146048: 2x+3=4x^2
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Question 146179: -m2+3m+4=0
Click here to see answer by stanbon(75887) About Me 

Question 146209: When the parabola: y+=+x%5E2-a%28x%2B1%29%2B3 intersects the x-axis at one point, then a must equal ___ or ___.
What I've got so far, (not a lot unfortunately):
y+=+0
0+=+x%5E2-a%28x%2B1%29%2B3
a+=+%28x%5E2%2B3%29%2F%28x%2B1%29
and here I become unstuck. No use of graphics calculator permitted. Much thanks for any help!


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Question 146210: how to solve this one 3(2w)-[w-z-(w+z)]? please show the solution :D thanyou.
Click here to see answer by checkley77(12844) About Me 

Question 146222: Factor: 4p^2 - 8p - 60
Click here to see answer by nabla(475) About Me 

Question 146238: Factor Completely : 12b^3 - 86b^2 + 14b
Click here to see answer by Earlsdon(6294) About Me 

Question 146236: Factor each Polynomial: 3a^3 + 3ab^2 + 2(a^2)b + 2b^3
Click here to see answer by scott8148(6628) About Me 

Question 146211: Factor : x^2 - 8xy + 12y^2 = (x -2y)(x -6y) Is this correct?
Click here to see answer by scott8148(6628) About Me 

Question 146364: I have to use the factoring method, solve for the roots this quadric equation and have to place the equation in standard form before factoring... Can you please help me? I don't get it at all. Thank you...:)
Page575
Number 14
x^2 + 3x - 40 = 0

Click here to see answer by scott8148(6628) About Me 

Question 146365: Using the factoring method, solve for the roots of this quadric equation and be sure to place the equation in standard form before factoring... Can you help? Thanks:)
Page 575
Number 20
x^2 = 10x - 24

Click here to see answer by scott8148(6628) About Me 

Question 146366: Using the factoring method, solve for the roots of this quadric equation and be sure to place the equation in standard form before factoring...Can you please help me? Thanks :).
Page 575
number 24
p^2 + 15p + 25 = 6p + 5

Click here to see answer by scott8148(6628) About Me 

Question 146363: I have to write in standard form and determine the values of a,b, and c. CAn you please help me?
Page 575
Number 6
3x^2 + 10x + 8 = -17x - 2

Click here to see answer by Earlsdon(6294) About Me 
Question 146363: I have to write in standard form and determine the values of a,b, and c. CAn you please help me?
Page 575
Number 6
3x^2 + 10x + 8 = -17x - 2

Click here to see answer by aswathytony(47) About Me 

Question 146362: I have to write in standard form and determine the values of a,b, and c. Can you help me?
Page 575
Number 4
4x^2 + 20x = 0

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Question 146530: (r^8t^7)^-7
Click here to see answer by stanbon(75887) About Me 

Question 146569: I have to solve using the quadric formula and if there are no real roots , say so. Can you please help me?
Page 588
Number 8
x^2 + 9x + 7 = 0

Click here to see answer by Alan3354(69443) About Me 
Question 146569: I have to solve using the quadric formula and if there are no real roots , say so. Can you please help me?
Page 588
Number 8
x^2 + 9x + 7 = 0

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

Question 146571: I have to solve using the quadric formula and if there are no real roots say so...Can you please help me? Thanks...:)
Page588
Number 14
3 = 7x - 4x^2

Click here to see answer by Alan3354(69443) About Me 

Question 146572: I have to sove using the quadric formula and if there are no real roots say so...Please help me ands thanks...:)
Page 588
Number 20
3x^2 - 4x + 2 = 0

Click here to see answer by Alan3354(69443) About Me 

Question 146570: I have to solve using the quadric formula and if there are no real roots say so. Can you help me please?
Page 588
Number 10
3x^2 + 7x - 6 = 0

Click here to see answer by Alan3354(69443) About Me 
Question 146570: I have to solve using the quadric formula and if there are no real roots say so. Can you help me please?
Page 588
Number 10
3x^2 + 7x - 6 = 0

Click here to see answer by Earlsdon(6294) About Me 

Question 146616: If each side of a square is lengthened by 4m, the area becomes 49m^2.Find the length of a side of the original square
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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