Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 324474: if the sides of a square are lengthened by 8 cm, the area becomes 196 cm2. Find the length of a side of the original square
Click here to see answer by Fombitz(32388)

Question 324550:

Click here to see answer by mananth(16946)

Question 324583: Use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting points to graph the function.
f(x) = -x^2 + 1
Click here to see answer by Fombitz(32388)

Question 324633: Find the value(s) of k so that x^2 + 4(k-1)x + 4k^2 = 0 has no real roots
Click here to see answer by Fombitz(32388)

Question 324647: Solve using substitution:
-y − 5x = -7
2y − 2x = 14

Solve using substitution:
-8x = -4 − y
3y -24x = 8

Solve using elimination:
6x − 2y − 3= 0
4y − 4x = -6

Solve using elimination:
5x − 7y − 1= 0
-10y − 5x = -1

Solve using elimination:
-4y + 2x − 8 = 0
-3x + 6y = 12

Solve using elimination:
8y = -2x − 16
-x − 4y - 8 = 0

Click here to see answer by Alan3354(69443)

Question 324645: Solve using substitution:
4x − y − 4 = 0
7y = 29 + 9x

Click here to see answer by Fombitz(32388)

Question 324601: complete the square to write the function in the form f(x)=a(x-h)^2+k.
f(x)=x^2+5x+6

Click here to see answer by Fombitz(32388)

Question 324675: I am lost at how to solve this problem.
Solve by applying the Quadratic Formula; all radicals should be simplified as far as possible. Show your work.
x2 + 8x = 3

Click here to see answer by stanbon(75887)

Question 324721: How do i put 2x^2+3x=(3x-1)^2-x^2 into the quadtric formula?
Click here to see answer by solver91311(24713)

Question 324749: Write a quadratic equation having the given numbers as solutions.
6 - , 6 +
Click here to see answer by Fombitz(32388)

Question 324734: Glenn cuts half a rectangular lawn, 40m by 30m, by mowing strips of equal width around the perimeter. Brad cuts the small rectangular left. How wide a strip does Glenn cut so that they share the work equally? I need to solve using the quadratic formula.
Click here to see answer by solver91311(24713)

Question 324727: f(x)= -x^2 - 2x + 7
Click here to see answer by solver91311(24713)

Question 324589: Glenn cuts half a rectangular lawn, 40m by 30m, by mowing strips of equal width around the perimeter. Brad cuts the small rectangular left. How wide a strip does Glenn cut so that they share the work equally? I need to solve using the quadratic formula. Thank You in advance.
Click here to see answer by ankor@dixie-net.com(22740)

Question 324787: (4n-1)squared =16
Click here to see answer by Fombitz(32388)

Question 324725: 5x(x - 1) - 7 = 4x(x -2)
Click here to see answer by rfer(16322)

Question 324724: x^2 + 2/3x + ____ = (x + ____)^2
Click here to see answer by checkley77(12844)

Question 324871: Bill & Jose's Discount Cinema sold adults' tickets for $4.10 each and children's tickets for $2.70 each. Last Tuesday, a total of $331.30 was collected from 89 movie watchers. How many of each type of ticket were sold? (Let x represent the number of adults' tickets and y represent the number of children's tickets.)
Click here to see answer by stanbon(75887)

Question 324494: Find an application for your chosen field--- which is psychology or really anything-- or one of interest that involves solving a quadratic equation and post the problem and solution (not just answer but how to solve it).

I am really stuck on this and any help would be GREATLY appreciated!!!

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

Question 324902: Please explain this.
Click here to see answer by JBarnum(2146)

Question 324917: What is the sum of the 2 real solutions to the equation x = 6 � x^2 ?
Click here to see answer by vleith(2983)

Question 324877: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
25x^2 - 10x + 1 = 0
Write a quadratic equation having the given numbers as solutions.
-3.5, 2.2
Click here to see answer by Fombitz(32388)

Question 324935: (a+b)(a-b)(1+x)(1-x)=4abx.Find x.
email is: sriyan5@yahoo.com
Click here to see answer by Fombitz(32388)

Question 324949: A golf ball is hit from the ground with an initial velocity of 208 feet per second. How long will it take the golf ball to hit the ground?
Click here to see answer by Alan3354(69443)

Question 324988: Determine the coordinates of the vertex for the quadratic equation y = 4x2 + 10x + 5
Click here to see answer by Fombitz(32388)

Question 324983: can you help me with radicals and simplifying them

Click here to see answer by Fombitz(32388)

Question 324918: f(x)=x^2+3x+40
Click here to see answer by Fombitz(32388)

Question 325020: What is the positive square root of 5625=c^2
Click here to see answer by Fombitz(32388)

Question 325097: the perimeter of a rectangle is 40cm. If the length is 4cm greater than the width, what are the dimensions of the rectangle?
Click here to see answer by mananth(16946)

Question 325096: John likes dark coffe beans, which cost $8.50/kg. Brad likes mild coffe beans which cost $9.20/kg. They buy a 5.5kg made from a blend of both type of beans that cost $48.50. How many kg of each type of bean went into the mixture?
Click here to see answer by checkley77(12844)

Question 325075: 2w(4w+1)=1
Click here to see answer by checkley77(12844)

Question 325106: John likes dark coffe beans, which cost $8.50/kg. Brad likes mild coffe beans which cost $9.20/kg. They buy a 5.5kg made from a blend of both type of beans that cost $48.50. How many kg of each type of bean went into the mixture?
Click here to see answer by stanbon(75887)

Question 325154: You will need to use the formula 4.9t^2 + v0t = s, where t is the time in seconds, v0 is the initial velocity, and s is the distance in meters.
Approximately how far will an object fall in 13 seconds (t) when thrown downward at an initial velocity of 10 meters per second (v0) from a plane?
Click here to see answer by stanbon(75887)

Question 325179: How many solutions are there to the equation x^2 - 15 = 0 ?
F.0
G.1
H.2
J.4
K.15

Click here to see answer by unlockmath(1688)

Question 325251: Solve the equation 4x^2-7=0 by using the square root property.

Click here to see answer by Alan3354(69443)

Question 325153: Roberto invested some money at 7%, and then invested $2000 more than twice this amount at 9%. His total annual income from the two investments was $2930. How much was invested at 9%?

Click here to see answer by checkley77(12844)

Question 325296: 3x2 + 2x = 7
Click here to see answer by jim_thompson5910(35256)

Question 325297: Solve by using the quadratic formula. Show complete solutions.
2x^2 + 9x - 7 = 0
Click here to see answer by jim_thompson5910(35256)

Question 325298: A rectangular lawn measuring 8m by 4m is surrounded by a flower bed of uniform width. The combined area of the lawn and flower bed is 165m�. What is the width of the flower bed?
Let x be the width of the flowerbed
(8+2x)(4+2x)=165

Click here to see answer by jim_thompson5910(35256)

Question 325299: The length of a rectangle is four more than the width. If the area of the rectangle is 621 m2, find the width and length of the rectangle.
Let w be the width. Therefore w + 4 is the length.
w(w +4) = 621

Click here to see answer by jim_thompson5910(35256)

Question 325322: A boat went 10km upstream against the current then turned around and went 15km downstream with current. The current speed was 3km/hour and upstream trip took 30 minutes longer. What was the speed of the boat without the speed of the current?
Click here to see answer by mananth(16946)

Question 325327: change y=1/2x^2 + 6x + 4 into the form y=a(x-h)^2+k. How do I do this algebraically?
Click here to see answer by Theo(13342)

Question 325398: if the sides of a square are lenghtened by 8cm, the area becomes 225cm².Find the lenght of a side of the original square
Click here to see answer by checkley77(12844)

Question 325398: if the sides of a square are lenghtened by 8cm, the area becomes 225cm².Find the lenght of a side of the original square
Click here to see answer by Edwin McCravy(20054)

Question 325434: x^18*x^0
Click here to see answer by unlockmath(1688)

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, 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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