Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 186943: please help me solve by factoring.

4x^2-11x+6=0 and show work so i can do this on my own tomorrow. thanks

Click here to see answer by jim_thompson5910(35256)

Question 186951: please solve by factoring...i got stuck near the end.

3x^2+8x+4=0

thanks
Click here to see answer by jim_thompson5910(35256)

Question 186990: 5n^2 = -8n -2
Click here to see answer by stanbon(75887)

Question 186991: find the function value
f(x) =x^2-5x-2
find f(-2)
Click here to see answer by jim_thompson5910(35256)

Question 186994: 2y^ 2 -6y= 3
Click here to see answer by stanbon(75887)

Question 187003: please help me factor and solve

x^2-21x-100=0

thank you...please show work
Click here to see answer by user_dude2008(1862)

Question 187002: please solve by factoring.

y^2-4y=45
Click here to see answer by user_dude2008(1862)

Question 186995: A = 3 pie a^2
solve for a
Click here to see answer by user_dude2008(1862)

Question 186983: x ^2 + 7x- 18 = 0
Click here to see answer by sowmya(32)

Question 187006: please help factor and solve.

12a^2=5a+28

thank you
Click here to see answer by jim_thompson5910(35256)

Question 187007: please help me solve and factor.

m^2+9m=0

thank you
Click here to see answer by jim_thompson5910(35256)

Question 187009: please factor and solve

12z^2+z=6
Click here to see answer by jim_thompson5910(35256)

Question 187015: Iva is trapped in a house which has walls 15 feet high. Fire fighters will rescue him by putting a ladder of length L feet at a distance x feet from the wall. They require x/L=1/2 solve exactly for x and L.
Click here to see answer by jojo14344(1513)

Question 186992: x+ 40/x = -13
Click here to see answer by rapaljer(4671)

Question 186981: 6m ^2 - 12m = 0
Click here to see answer by rapaljer(4671)

Question 187045: please factor out this quadratic

9x+x^2+20=0

thanks
Click here to see answer by Alan3354(69443)

Question 187039: what are the solutions of the equation x'2-8x=240
a.) -20 and -12
b.) -20 and 12
c.) 20 and -12
d.) 12 and 20
Click here to see answer by vleith(2983)

Question 186989: a ^2 -2a = 35 = 0
Click here to see answer by rapaljer(4671)

Question 187102: Hello I was doing my homework on quadratic functions and I have a question on a problem that my teacher never went over before.

1. Find a quadratic function that includes each set of values.
(1,-2),(2,-2),(3,-4)

Please show me work because I would like to know how to do it. Thank You

Click here to see answer by nerdybill(7384)

Question 187107: What are the roots for the equation 4xsquared+25=20x? I tried making the equation look like this:4xsquared-20x=-25 and I got x=40,0, but the 40 didn't equal what the original eqaution was.
Click here to see answer by scott8148(6628)

Question 187157: Apply Slope, Midpoint and Length Formulas
4. Verify that the quadrilateral with vertices P(2, 3), Q(5, -1), R(10, -1), and S(7, 3) is a rhombus.
Can you please help me with this question because i do not know how to verify it. It would be kind if you verify so i can understand it and can do the other question.
Click here to see answer by jim_thompson5910(35256)

Question 187159: Apply Slope, Midpoint and Length Formulas
5. The vertices of a quadrilateral are K(-1, 0), L(1, -2), M(4, 1), and N(2, 3). Verify that
a) KLMN is a rectangle
b) the lengths of the diagonals of KLMN are equal
Can you please help me with this question? thank you!!!
Click here to see answer by jim_thompson5910(35256)

Question 187212: 10.Use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Just determine the number and types of solutions.

2x2 - 6x + 5 = 0

Please help. Thank you.

Click here to see answer by uday1435(57)

Question 187211: 8. Use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Determine the number and types of solutions.
(3)^1/2y^2 - 4y - 7(3)^1/2 = 0
this is as difficult as it looks. I know. I've tried. Any assistance would be greatly appreciated. Thank you.
Click here to see answer by jim_thompson5910(35256)

Question 187210: 6. Use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Determine the number and types of solutions.

z^2 + z + 1 = 0
help please. thanks.
Click here to see answer by jim_thompson5910(35256)

Question 187247: If the zeroes of a quadratic function are -4 and 6, and its y-intercept is 12, determine the function in general form without using regression.
My name is Chantal and I know that -4 and 6 are the roots and -12 is the last part of the equation in general form but I don't know what he means by regression. I'm not sure how to go about doing this equation. If you could help me it would be greatly appreciated. I missed school when we learnt this.This is not from a book.
Chantal Laroche
Click here to see answer by jim_thompson5910(35256)

Question 187214: word problem!
13.
A designer attempts to arrange the characters of his artwork in the form of a square grid with equal numbers of rows and columns, but finds that 24 characters are left out. When he tries to add one more row and column, he finds that he has 25 too few characters. Find the number of characters used by the designer.

I am too confused. I need your help, thanks.
Click here to see answer by dukesmart(20)

Question 187379: the area of a rectangle is 243cm2. the length is three times greater than the width. what are the dimensions of the rectangle?
Click here to see answer by uday1435(57)

Question 187377: I am not even sure how to type this:(
1) Evaluate: lim 3x^4+4x^2-2/3x^3-5x^4 when x approaches infinity(the symbol looks like a sideways eight). I hope this makes sense because I need help.
2) If y=2x^2-3x,find the average rate of change of y with respect to x from P(2,2) to Q(2.1,2.52).
Click here to see answer by josmiceli(19441)

Question 187380: a ball is thrown into the air in such a way that its distance(d), in feet, above the ground at any time(t), in seconds, is given by the equation d=40t-5t^2.
how many seconds will it take for the ball to reach a height of 80ft above the ground?
Click here to see answer by checkley77(12844)

Question 187428: 4x^2+2x+8=0
Click here to see answer by jim_thompson5910(35256)

Question 187535: two consecutive negative integers have a product of 240.
what are the integers?
n=
n+1=
Click here to see answer by checkley77(12844)

Question 187537: the area of a rectangle is 165ft^2. the length is 4 ft greater than the width.
find the dimension of the rectangle.
w=
l=
Click here to see answer by uday1435(57)

Question 187572: What is the i for in some of the quadratic equations? like one of the answers to a qustion is x=3+-2i.
Click here to see answer by solver91311(24713)

Question 187536: a sandbag falls out of a hot air balloon that is 144ft above the ground. How long does it take for the sandbag to reach the ground?
to find the answer, use the equation 0=-16t^2+144 in which the time(t), in seconds, is the time it takes to hit the ground.
need to know the second(s)
Click here to see answer by Alan3354(69443)

Question 187600: Solve 4x^3-36x=0
4x(x^2-9)
where do I go from here?
Click here to see answer by Alan3354(69443)

Question 187607: Solve the equation.
5x^2+17x+6=0
I worked it out to be -2/5 and -3.
Am I correct?
Click here to see answer by Alan3354(69443)

Question 187599: The equation W=120I-6I^2 represents the power (W) in watts that a 120 volt circuit can deliver if it has a resistance of 6 ohmmeter. What is the maximum power, in watts, that can be delivered by this circuit?
My name is Chantal and I'm not sure how to do this. I was sick when he taught us word problems. I believe the answer is the vertex seeing that it wants a maximum but I'm not sure of the equation. Is it w= -6I^2 + 120 + 6 or is it
6=-6I^2 + 120 + 0.
If you can help me it would be greatly appreciated. Please and Thank you.This is not from a text book.
Chantal
Click here to see answer by Alan3354(69443)

Question 187616: jasmine drew a rectangle which is 143sqare mm. ethan drew a rectangle inside of jasmine's which is 35 square mm. ethan's rectangle has a 3 mm border between his and jasmine's rectangle. what are the length and width of jasmines rectangle?
after many attempts i believe the answer is 13mm X 11 mm. i have worked backwards but cannot seem to find the equation to use for finding either the length or width. using A = l x w
please help.
donna
Click here to see answer by jim_thompson5910(35256)

Question 187617: flight 725 left new york at 10:28am flying north. flight 245 left same airport at 11:18am flying south at 125kmh less than 3 times the speed of flight 725. at 1:06pm they are 1030 km apart. what is average rate of speed for flight 245?
Click here to see answer by ankor@dixie-net.com(22740)

Question 187632: Suppose to want to reserve a rectangular region in a large room and you have 32 ft. of masking tape. Let�s investigate how much area you can reserve with 32 ft. of masking tape and how this area changes with different lengths of sides for the rectangular region.
1) Take a guess on the dimensions of the region that would give the largest area.
2) Find the values for the table below. The column labels of base, height, and area represent the values of the base height and area of the rectangular region. Use as many different values of bases and heights as you can, but have the perimeter or the rectangular region be 32ft.
Base Height Area

Click here to see answer by Alan3354(69443)

Question 187654: Add and simplify
x/(a+b) + y(b+a)
Add
(2/x) + (3/-x)
How do I find the numerator of the sum
((y+3)/y) + (y/(y+3))
Add and Simplify
9/(3-w) +w^2/(w-3)
Add (3/x)+(4/y)
Subtract (5/x)- ((x+3))/x^2)

Click here to see answer by user_dude2008(1862)

Question 187686: Solve
9x^=14
Click here to see answer by jim_thompson5910(35256)

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