Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 78126: (2x+5)2=9
q2-2(7q+16)=0
Click here to see answer by checkley75(3666)

Question 78134: Constructing a box. I have a piece of cardboard that is twice as long as it is wide. If I cut a 2-inch by 2-inch square from each corner and fold up the resulting flaps, I get a box with a volume of 32 cubic inches. What are the dimensions of the cardboard?
Click here to see answer by ankor@dixie-net.com(22740)

Question 78130: The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2=pie^2L.
If a child is on a swing with a 10-foot chain, then how long does it take to complete one cycle of the swing?
Click here to see answer by checkley75(3666)

Question 78109: d...ex
Problem #15
Find the constant term that should be added to make the following expression a perfect square trinomial.
x^2+7x
Problem #22
Solve by using the quadratic formula
5x^2-4x+1=0
Problem #23
Solve by completing the square.
4x^2+2x-3=0
Click here to see answer by stanbon(75887)

Question 78203: Find all real and imaginary solutions to the equation.
b^4+13b^2+36=0
Click here to see answer by checkley75(3666)

Question 78204: An artist wants her painting to be in the shape of a golden rectangle. If the length of the painting is 36 inches, then what should be the width?
Click here to see answer by stanbon(75887)

Question 78282: Use the quadratic formula to solve each of the following quadratic equations.
3x^2-2x+1=0

Click here to see answer by checkley75(3666)

Question 78281: Use the quadratic formula to solve each of the following quadratic equations.
2x^2-5x=3

Click here to see answer by checkley75(3666)

Question 78294: 17) The length of a rectangle is 3 cm more than 2 times its width. If the area of the rectangle is 99 cm^2, find the dimensions of the rectangle to the nearest thousandth.
Click here to see answer by checkley75(3666)

Question 78407: I need to solve the equation:
5-x 13
___=__
17 34
Click here to see answer by stanbon(75887)

Question 78612: A person drops an object from a plaza that is 729 feet tall. The height H of the object after T seconds is given by the equation H = -16t squared + 729. Find how many seconds pass before the object reaches the ground.
Click here to see answer by stanbon(75887)

Question 78622: I am trying to help my daughter, its been a long time, and here is the question;
Solving Linear/Quadratic Systems, Solve Graphically:
2x-y=9
y=x^2-4x, the answer is (3,-3)
Click here to see answer by chitra(359)

Question 78658: If you were to solve x^2 - 5x = 6 by facroring, which step would result?
Thanks~
Click here to see answer by tutor_paul(519)

Question 78657: Factor completely:
2x^2 + 4x - 6
Thanks~
Click here to see answer by tutor_paul(519)

Question 78609: A rectangular pool is surrounded by a walk 4 meters wide. The pool is 6 meters longer than its width. If the total area is 576 square meters more than the area of the pool, find the dimensions of the pool.
Click here to see answer by ankor@dixie-net.com(22740)

Question 78705: Factor completely
9x^2 + 24xy - 9y^2
I know the GCF is 3, but I don't know what to do with the two different variables. Thank you
Click here to see answer by checkley75(3666)

Question 78705: Factor completely
9x^2 + 24xy - 9y^2
I know the GCF is 3, but I don't know what to do with the two different variables. Thank you
Click here to see answer by stanbon(75887)

Question 78750: I can't figure the following quadratic question:
Tim and Brad leave at the same time. They drive in different directions. Tim is slower than Brad by 8mph. After an hour, they are 85 miles apart. What is Brad's speed?
How did the equation get to be 2x(square)-16x-7161? Someone please help.
Click here to see answer by bucky(2189)

Question 78766: 1) A triangle has sides 2 X � 5, 3 X + 1, and 4 X + 2. Find the polynomial that represents its perimeter.
Click here to see answer by tutor_paul(519)

Question 78799: k^2=10
Click here to see answer by mathdoc314(58)

Question 78836: solve for p
4p^2-12p-91=0
our class is solving these type equations using the quadratic formula:
(-b +and- square root of b^2-4ac)/2a
so it would help a lot if you showed how to do it by plugging it into that formula.
i tried the problem once and got no real solution and then plugged it in again and got 6.5,-3.5. and i don't know which one's right because my notes say that the a has to equal 1... but im not sure if thats right or not
Click here to see answer by mathdoc314(58)

Question 78960: Problem:
Find the slope of the line through the following pair of points
(-5,-3) and (-5,2)

Click here to see answer by jim_thompson5910(35256)

Question 79004: Find the slope of the line graphed
(-3,-1)(-4,-3) (-5,-5)(-2,1)(-1,3)
Click here to see answer by checkley75(3666)

Question 79049: Problem:
The cost of producing a number of items x is given by C=mx+b , in which b is the fixed cost and m is the variable cost (the cost of producing one more item).
a) If the fixed cost is $40 and the variable cost is $10, write the cost equation
b) Graph the cost equation
c) The revenue generated from the sale of x items is given by R = 50x. Graph the revenue equation on the same set of axes as the cost equation.
d) How many items must be produced for the revenue to equal the cost (the break-even point)?

Click here to see answer by renevencer22(21)

Question 79048: Problem:
find the constant of variation k
m varies directly with n; m = 144 when n = 8

Click here to see answer by rapaljer(4671)

Question 79052: I need help to write an equation of a quadratic function whose graph is a parabola that has a vertex (-3,7) and that passes through the origin. Please.
Click here to see answer by funmath(2933)

Question 78996: Problem:
find the constant of variation k
m varies directly with n; m = 144 when n = 8

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

Question 79074: If the sides of a square are decreased by 3 cm, the area is decreased by 81 cm2. What were the dimensions of the original square?
Click here to see answer by checkley75(3666)

Question 78961:
Problem:
The cost of producing a number of items x is given by C=mx+b , in which b is the fixed cost and m is the variable cost (the cost of producing one more item).
a) If the fixed cost is $40 and the variable cost is $10, write the cost equation
b) Graph the cost equation
c) The revenue generated from the sale of x items is given by R = 50x. Graph the revenue equation on the same set of axes as the cost equation.
d) How many items must be produced for the revenue to equal the cost (the break-even point)?

Click here to see answer by renevencer22(21)

Question 78955: Problem:
The cost of producing a number of items x is given by C=mx+b , in which b is the fixed cost and m is the variable cost (the cost of producing one more item).
a) If the fixed cost is $40 and the variable cost is $10, write the cost equation
b) Graph the cost equation
c) The revenue generated from the sale of x items is given by R = 50x. Graph the revenue equation on the same set of axes as the cost equation.
d) How many items must be produced for the revenue to equal the cost (the break-even point)?

Click here to see answer by renevencer22(21)

Question 78993: Find the slope of the line through the given points
(2,4) and (6,-3)
Click here to see answer by checkley75(3666)

Question 79110: A rectangular garden is to be surrounded by a walkway of constant width. The garden�s dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft2. What must be the width of the walkway to the nearest thousandth?
Click here to see answer by checkley75(3666)

Question 79089: c..
how do i complete the square for this one. i started it but i am confused.
Solve by completing the square: 2x^2+8x+3=0

this is how i started but i think i am wrong...

2x^2+8x+3=0
x^2+8x=(-3)/(2)
x^2+8x+(0.5 (8))^2=(-3)/(2)(0.5(8))^2
i don't know can someone help me i think i am doing it wrong...
Click here to see answer by josmiceli(19441)

Question 79120: please help me by factoring please?
4x^2-8x+3=5
Click here to see answer by jim_thompson5910(35256)

Question 79121: i need to solve by factoring
x^2-9x-4=6
Click here to see answer by jim_thompson5910(35256)

Question 79124: i am doing quadratic equations how do i solve by factoring?
(x-1)^2 = 7
Click here to see answer by ankor@dixie-net.com(22740)

Question 79117: Find the distance between (7, � 2) and (� 5, 3)
Click here to see answer by checkley75(3666)

Question 79075: The profit on a watch is given by P = X2 � 13 X � 80, where X is the number of watches sold per day. How many watches were sold on a day when there was a $50 loss?
Click here to see answer by 303795(602)

Question 79198: Use Quadratic Formula to solve problem; write all radicals in simplified form, and lowest terms:
x^2-24=0
Click here to see answer by sprolden(40)

Question 79243: how do i find two consecutive positive integers such that the sum of their squares is 85?
Click here to see answer by stanbon(75887)

Question 79243: how do i find two consecutive positive integers such that the sum of their squares is 85?
Click here to see answer by sprolden(40)

Question 79244: can someone help me solve by completing the square? i don't understand
2x^2+10x+11=0
Click here to see answer by stanbon(75887)

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