Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 62027: I need some help to find the y-intercept, the x intercepts, the turning point and sketch this equation:
Click here to see answer by funmath(2933)

Question 61750: Solve the following quadratic equations by using quadratic formula.
2.1y^2-3.5y=4
a(a+2)=-1
6x^2+5x-4=3x-2
4x^2-14x-27=3
Click here to see answer by ankor@dixie-net.com(22740)

Question 62045: Is the following trinomial a perfect square?
x^2+6x+9?
Click here to see answer by stanbon(75887)

Question 62044: The height h in feet of an object after t seconds is given by the function h=-16t^2+60t+4.
How long will it take the object to hit the ground? Round your answer to the nearest thousandth.
Click here to see answer by stanbon(75887)

Question 62043: Find the constant term that should be added to make the following expression a perfect-square trinomal. x^2+6x
Click here to see answer by stanbon(75887)

Question 62046: solve x^2-28=0
X^2=28
X=2*squreroot 7
x=-5.291, +5.291
Click here to see answer by gillukumar(1)

Question 62046: solve x^2-28=0
X^2=28
X=2*squreroot 7
x=-5.291, +5.291
Click here to see answer by Nate(3500)

Question 62041: Find the x- intercepts of y=x^2-x-5 can any one help?
Click here to see answer by Nate(3500)

Question 62042: A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft. by 40ft. The total area, garden plus walkway, is to be 1800ft^2.What must be the width of the walkway to the nearest thousandth?
A. 3.860ft
B. 2.610FT
C.5.430FT
D.7.720FT
Click here to see answer by venugopalramana(3286)

Question 62207: 14. Find the x-intercepts.

y=x^2-4x+4

I don't understand how to solve this type of problem at all. I need this explained in detail, the book is skipping steps and I can't figure out how or why they came up with their answer. Thanks in advance.
Click here to see answer by stanbon(75887)

Question 62205: 4. Solve by completing the square.

x^2-5x+2
I can't figure out my next step. I got as far as 1/2(-5)^2=. 2.5 is half of 5 but then what do I do?
Click here to see answer by Earlsdon(6294)

Question 62214: 15. Find the x-intercepts.
y=x^2-2x+4
x^2-2x+4=0
I then tried to factor however, there are no multiples of four that would equate to two. What am I not doing?
Click here to see answer by josmiceli(19441)

Question 62210: 20. Identify the axis of symmetry, create a suitable table of values, then sketch the graph (including the axis of symmetry).
y=x^2-4x
Okay, I took a stab at this but I don't think I did it right. This is what I did.
x=-b/2a
y=ax^2+bx+c
- -4/2.1=
x=4/2
x=1
I have no idea how to create a suitable table of values in which my teacher told us to use excel to do the graph. I don't know how to plot a graph or even use excel.
I am screaming help to the fourth power, please.
Click here to see answer by venugopalramana(3286)

Question 62247: I cant remember how to start this question:
1-49/x^2
________
7/x+1
should I multiply each side by the inverse of the denominator?
Click here to see answer by stanbon(75887)

Question 62132: Factor completely 12x^3-3xy^2
Click here to see answer by 303795(602)

Question 62004: may i please have help
directions state to expand
p^-3/4m^2 (2p^2/m^-2 - 8m^-2/a^2b^3p)
Click here to see answer by funmath(2933)

Question 62240: I really need help to solve the following
-k(-2-3) - (-2)(-k-5) = -2-(-2k+4) + 3 times the square root of -27
Click here to see answer by ankor@dixie-net.com(22740)

Question 62010: pleae help me to simplify
(3x^-2/y^-3)-2(x^4/y^6)^2
Click here to see answer by funmath(2933)

Question 62388: 3. -9(x-3)^2=-7
I got as far as x-3=rs 7/3 no radical sign.
Now I then do x=3/5 rs over the three and times it by 9/5. Do I multiply the 7 times the nine or or just leave it as 9 plus or negative over 7/3.
Click here to see answer by stanbon(75887)

Question 62389: 18. Question about this equation. y=-x^2-2x

I have a table of values for x
-3
-2
-1
0
1
When I have a negative number for x and the problem is already negative x, does that become a positive automatically? Hope I didn't confuse you with this question.
Click here to see answer by stanbon(75887)

Question 62396: Complete the following statement 6a^2-5a+1=(3a-1)( )
Click here to see answer by checkley71(8403)

Question 62396: Complete the following statement 6a^2-5a+1=(3a-1)( )
Click here to see answer by stanbon(75887)

Question 62395: Solve by using the quadratic formula x^2=-7x-3

Click here to see answer by checkley71(8403)

Question 60430: Write an equation of the line in slope-intercept form with slope 1/3 that crosses the y-axis at (0,-2)
Click here to see answer by 303795(602)

Question 62470: x2-6x=0
Click here to see answer by checkley71(8403)

Question 62486: Solve the following radical equations:
(((3^6x+4 -2=0)))
3- is the cubed root
6x+4 is under the radical(square root box)
I'm having trouble solving
Click here to see answer by stanbon(75887)

Question 62518: Hi i am finding it hard to answer this question for my homework the question is:
Find the solution of the equation 2x - 9 = 25
Thank you hope you can help
Click here to see answer by dolly(163)

Question 62517: I need some help I canot find the correct answer for the following problems
Solve by completing the square 2x^2-8x-11=0
What are the intercepts of y=-x^2+x
Solve by completing the square
x^2-18x+80=0
Is the following trinominal a perfect square
x^2+12+36
Thanks for you assistance
Click here to see answer by ankor@dixie-net.com(22740)

Question 62534: Hi i would like some help on solving these two simultaneous equations for my homework as i am struggling to solve them please help me as it would be very appreciated the questions are
1. one side of the rectangle is 2cm longer than the other. The perimeter of the rectangle is 24 cm. How long are the sides of the rectangle?
2. A fitness fantastic swims 40 lengths of his pool per day. After 5 years, he has swum 1825 km. How long is his swimming pool in meters? (assume there are 365 days per year)
I would be most gratefull if you can help me thank you
Click here to see answer by uma(370)

Question 62566: When solving a quadratic equation you have 0,1,2 solutions. What does this mean "graphically?
Click here to see answer by Edwin McCravy(20054)

Question 62565: Write in vertex form:
x^2-1/2x+9/4
Click here to see answer by Nate(3500)

Question 62563: Y=4x�+16x+23
Click here to see answer by checkley71(8403)

Question 62607: divide x^2-13x+30/x-3
Click here to see answer by funmath(2933)

Question 62604: divide 4/x^8 by 16/x^5
Click here to see answer by Nate(3500)

Question 62604: divide 4/x^8 by 16/x^5
Click here to see answer by funmath(2933)

Question 62604: divide 4/x^8 by 16/x^5
Click here to see answer by 303795(602)

Question 62564: solve the equation by making a substituition
x-(7*x^.5)+8 =0
Click here to see answer by 303795(602)

Question 62611: When it say find the x intercepts do I graph it or give the variable for the intercept
y=x^2-9x+20

Click here to see answer by funmath(2933)

Question 62603: The length of a rectangle is 5cm more than 3 times the width. If the area of the rectangle is 92cm^2, find the dimensions of the rectangle to the nearest thousandth.
Click here to see answer by checkley71(8403)

Question 62644: Please help to solve
(4 2/3)v - (2 1/5) = (3 1/6)
Click here to see answer by stanbon(75887)

Question 62562: Y=4x�+16x+23
Click here to see answer by josmiceli(19441)

Question 62561: Y=4x�+16x+23
Click here to see answer by checkley71(8403)

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