Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 431681: x^2-10x+25 name how many roots and what kind
Click here to see answer by Alan3354(30993)

Question 431797: Factor the expression by taking out the greatest common factor.
13x^2y^3-52x^5y^3-91x^4y^4
Pls show me the steps to get the answer. Thanks
Click here to see answer by shree840(260)

Question 431822: 4n to the power of 2 - 10n + 12 = 6
Click here to see answer by algebrahouse.com(1079)

Question 431788: Factor the expression by taking out the greatest common factor.
11a^2-55a^3
Pls show me the steps to get the answer. Thanks
Click here to see answer by richard1234(5390)

Question 431925: I have the equation
I know the turning point is h,k
According to this it is -1,3 when in fact it is 20,3
How is this justified
Thanks
Click here to see answer by Alan3354(30993)

Question 431955: g^2+5g=24
Click here to see answer by anshu_a(16)

Question 431954: t^2-6t-27
Click here to see answer by algebrahouse.com(1079)

Question 431957: I am having a very hard time with these quadratic equations. Can someone help me understand this one and how to solve?
(1) 4x2 + 14x = 0
Thanks.
Click here to see answer by anshu_a(16)

Question 431952: 60r^2+80r+25
Click here to see answer by anshu_a(16)

Question 431796: Factor the expression by taking out the greatest common factor.
90a^3b^2-30a^2b^3+40a^3b^3
Pls show me the steps to get the answer. Thanks
Click here to see answer by jsmallt9(3296)

Question 432020: Create a quadratic equation for these:
x = 4, x = -3
Click here to see answer by Gogonati(809)

Question 431975: I am a resource teacher for freshman. One of my students has the problem (3/x-1) - 4= (1/x+1). He must use the quadratic formula to solve. Help!
Click here to see answer by ewatrrr(10682)

Question 432186: The difference of two numbers is 4 and the sum of their reciprocals is 3/8. Find the numbers.
Click here to see answer by shree840(260)

Question 432185: The sum of two numbers is 15 and the difference of their reciprocals is 1/10. Find the numbers.
Click here to see answer by shree840(260)

Question 432152: Please help me with this word problem!
A rectangle has a perimeter of 6 centimeters and an area of 2 square centimeters. Find its dimensions.

The answer is 2 centimeters by 1 centimeter but I don't know how to get that.
Click here to see answer by sudhanshu_kmr(1152)

Question 432246: please help with this.
For the equation 3x^2-4x-5=0
find a,b,and c.
a=
b=
c=
Then solve the equation using the quadratic formula
Click here to see answer by Alan3354(30993)

Question 432312: h=-16t^2+64t
A. The object reaches its maximum height 2 seconds after it is propelled. What is the maximum height?
B. After how many seconds does the object hit the ground?

Please help me work this out!!
Thanks,
Chris
Click here to see answer by stanbon(57347)

Question 432383: ~Equations that are Quadratic in Form~
How do I solve this problem: 2x^2/3+5^1/3-12=0.
I know I'm supposed to substitute something for T, but i don't know what I'm supposed to substitute. I know how to do the rest of the problem just not how to find what to substitute for t.

~thank you
Click here to see answer by belle3833(46)

Question 432421: y=-4x^2+12x-5
Click here to see answer by Gogonati(809)

Question 432549: I have been given a problem from a classmate that I find hard to figure. I need to write a quadratic equation that has the solution of:
x=5 or x=-5
I am beginning to understand how to work quadratics however I am not sure how to do this. Can someone help?
Click here to see answer by algebrahouse.com(1079)

Question 432550: Can anyone help me with this problem?
x^2+3x+2=0
Any help would be great.
Click here to see answer by ewatrrr(10682)

Question 432550: Can anyone help me with this problem?
x^2+3x+2=0
Any help would be great.
Click here to see answer by sudhanshu_kmr(1152)

Question 432764: Please help me solve and check this problem. Thank you!
2/3x=42

Click here to see answer by edjones(7569)

Question 432871: I am trying to help my daughter witht his quadractic equation. She has to find the root of the quadratic equation in standard form. y=x^2+7x+12 It has been a long time since I've done this and I need direction to be able to help her with the rest of the problems. Any help would be appreciated!
Click here to see answer by mananth(12270)

Question 432892: Here I go again.....now, with negatives in the problem...I'm stumped!!! I am trying to help my daughter find the root of a quadratic equation using standard form. y=x^2-17x+30. Thanks for your input!!!
Click here to see answer by sudhanshu_kmr(1152)

Question 432923: 8th Grade Algebra Help--

How can one tell if a quadratic equation has no solution using the quadratic formula?
Would an example of a no solution problem be 9+16a^2=24a

Click here to see answer by rfer(12660)

Question 432880: Change the quadratic function into vertex form. Then, give the coordinates of the vertex.
y = x^2+6x+5
Click here to see answer by robertb(4012)

Question 432953: Factor the expression by taking out the greatest common factor.
7a^2b - 28ab^2 + 49a^2b^2
Click here to see answer by rapaljer(4667)

Question 432949: Factor the expression by taking out the greatest common factor.
10x^2 - 7x^3
Please show me the steps to get the answer. Thanks
Click here to see answer by rapaljer(4667)

Question 432952: Factor the expression by taking out the greatest common factor.
7x^3 + 14x^2 - 35x
Please show me the steps to get the answer. Thanks
Click here to see answer by belle3833(46)

Question 432946: Factor the expression by taking out the greatest common factor.
4x - 16
Please show me the steps to get the answer. Thanks
Click here to see answer by belle3833(46)

Question 432950: Factor the expression by taking out the greatest common factor.
11a^2 - 55a^3
Please show me the steps to get the answer. Thanks
Click here to see answer by robertb(4012)

Question 433023: Two more than a number times five less than that number is 18. Find all such numbers.
Click here to see answer by ewatrrr(10682)

Question 433125: Hi I need some help with this problem: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0. Solution 9, only solution.
thanks
Charmaine
Click here to see answer by stanbon(57347)

Question 433242: Your community wants to put a square fountain in a park. Around the fountain will be a sidewalk that is 3.5ft wide. The total area that the fountain and sidewalk can be is 700ft^2. What are the dimensions of the fountain?
Click here to see answer by josmiceli(9678)

Question 433254: find the roots of the quadratic equation by factoring. X^2-9/4x-25
Click here to see answer by Alan3354(30993)

Question 433255: write the equation for each root. 2, 3
Click here to see answer by Alan3354(30993)

Question 433291: I have a question and hope it does not seem like a silly one. I am studying quadratic equations and the different type of ways to solve them. My question is:
Since the quadratic formula when used to solve quadratic equations always spits out the correct answer, why do we not use only this method rather than even bothering with the other methods?
Click here to see answer by algebrahouse.com(1079)

Question 433239: Hi, I need help with this problem, mainly just how to come up with an equation to use in the Quadratic Formula. Thanks!
The Garys have a triangular pennant of area 420 in^2 flying from the flagpole in their yard. the height of the triangle is 10in less than 5 times the base of the triangle. What are the dimensions of the pennant?
Click here to see answer by scott8148(6628)

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