Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 519838: please help me solve 5k^2+3k-2=0 by completing the square
Click here to see answer by oberobic(2304)

Question 519912: y^2+15y=2
Click here to see answer by mananth(12270)

Question 520027: Determine the quadratic equation whose solutions are: 3 and -2

Click here to see answer by Maths68(1474)

Question 520175: x^2-9x-36=0 solve for x
Click here to see answer by jessica43(140)

Question 520320: the mechanical power in an electric motor is given by P=T-I^2R. Find the current I(amperes) if the power P=448W, the total power T=480W, and the resistance R=2.00(Omega)
Click here to see answer by stanbon(57967)

Question 520390: A rectangular field is fenced in by using a river as one side. If 1800m of fencing are used for the 385,000m^2 field, find its dimensions.
Click here to see answer by solver91311(17077)

Question 520444: 3x²-26x+48=0

Click here to see answer by oberobic(2304)

Question 520457: -2x=-2x²+24
Click here to see answer by oberobic(2304)

Question 520392: The area of a rectangular lot 80m by 100m is to be increased by 4000m^2. The length and the width will be increased by the same amount. What are the dimensions of the larger lot?
Click here to see answer by oberobic(2304)

Question 520763: Dear Tutors,

Need the equation of the line of symmetry is?????
f(x)=2(x-2)^2
Please show work so I can learn from the example.
Thanks for all the help.
Robin
Click here to see answer by stanbon(57967)

Question 520820: 1.Given the function f(x)=1/4(x-2)^2(x+2)^2
2.Find the x and y intercept
3.Determine whether the graph crosess or touches the x axis at each intercept
4.Graph the function
Thanks in advance!
Click here to see answer by solver91311(17077)

Question 520931: (2y+3)^2-7=0 using the square root property.
Sqrt (3-x) ) -7=0
Sqrt (x+5) )= 7-x
Simplify 2 sqrt (75))- 5 sqrt (27))- sqrt (48))
Click here to see answer by edjones(7569)

Question 520973: Simplify 2 sqrt (75))- 5 sqrt (27))- sqrt (48))
Click here to see answer by lwsshak3(6761)

Question 520988: how do you solve the equation 16x squared minus 1=0
Click here to see answer by umnikmo(75)

Question 522025: solve by completing the square
m^2 – 1/2m = 7/2
Click here to see answer by mananth(12270)

Question 522256: To save materials; Choma decides to build a horse corral using the barn for one side. He has 30m of fencing materials and wants the corral to have an area of 100m^2. What are the dimensions of the corral?
Let w =width and y = length
2x+y=30
but that's as far as I know how to solve this equation
Click here to see answer by ankor@dixie-net.com(15746)

Question 522397: The ages of a man and his son add up to 39years.In 3 years the man will b 4 times as old as his son.Find the ages of the man and his son.
Click here to see answer by oberobic(2304)

Question 522396: A person jumps from a spring diving board. The trajectory of the person off the diving board is represented by the function below.
h(t) = -(x-1)^2 +4
where h is the height of the person above the water and x is the distance the person is out from the diving board.
a) graph the function over the domain 0<_ x <_ 6
b) state the height of the diving board and state why you reached your conclusion
c) determine using algebraic procedures, the greatest height reached by the person and state at what distance the person was from the end of the board when the greatest height was reached.
thanks :)
Click here to see answer by solver91311(17077)

Question 522351: How do you compose an equation from a quadratic graph? The vertex is (-1,-9) The y-intercept is -8, The x intercepts are -4 and 2, and the axis of symmetry is -3 on the x axis.
Click here to see answer by scott8148(6628)

Question 522809: Solve 2a2 + 11a− 6 = 0 using the quadratic formula
Click here to see answer by Maths68(1474)

Question 522808: Solve y2 = 15y − 56 using the quadratic formula

Click here to see answer by Maths68(1474)

Question 522840: How do you factor out the equation a^2 - 25 = 0? Help would be appreciated. Thank you.
Click here to see answer by Alan3354(31529)

Question 522843: How do you factor the equation 2a^2 + 8a = 0? Thank you.
Click here to see answer by Alan3354(31529)

Question 522843: How do you factor the equation 2a^2 + 8a = 0? Thank you.
Click here to see answer by stanbon(57967)

Question 522889: 6x-3(1-x)=12+4x
Click here to see answer by umail08(87)

Question 522895: Which of the following is one of the two binomial factors of 6s2 + 40s – 64?
Click here to see answer by jim_thompson5910(28715)

Question 522895: Which of the following is one of the two binomial factors of 6s2 + 40s – 64?
Click here to see answer by stanbon(57967)

Question 523017: Please help me, I need to get through this test to finish school.
1. Multiply and Simplify
4y^2/5y^2-40y+80 * 5y-20/2y =
(Type and Exponential notation with positive exponents)
2. Multiply
(8x+6)(5x^2+5x+8)
3. Evaluate the Polynomial for x=6
2x^2-5x+7=
4. Solve.
(x+19)(x-2)(x+10)>0
Select the correct choice below and if necessary, fill in the answer box to complete your choice.
A. The solution set is {|x| }
B. The solution is all real numbers
C. There is no solution.

Click here to see answer by stanbon(57967)

Question 523145: I am having a hard time on this equation. . . F(x)=1/5(x+2)^2+2 and was wondering if anyone could please help me? I need to find the vertex, line of symmetry and the maximum or minimum value, once I can receive the correct answer for the vertex I can figure out the rest. Thank you in advance :)
Click here to see answer by scott8148(6628)

Question 523334: I have an equation: 4x^2 - 24x + 27 = 0
The first part of the question requires me to complete the square so I get:
4*(x-3)^2 - 9 = 0
Using this, how can I solve x, WITHOUT using a calculator?
Click here to see answer by gsmani_iyer(180)

Question 523529: 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:10,only solution.
Click here to see answer by ankor@dixie-net.com(15746)

Question 523322: suppose the roots of ax^2 + bx + c =0 are r and s. which one of the following has roots ar + b and as + b ?
(A) x^2 - bx - ac =0
(B) x^2 - bx + ac =0
(C) x^2 + 3bx + ca + 2b^2 =0
(D) x^2 + 3bx - ca + 2b^2 =0
(E) not given

Click here to see answer by richard1234(5390)

Question 523730: Use the quadratic formula to solve for Q in the equation 3Q(to the power 2)-6=0
Click here to see answer by mananth(12270)

Question 523948: I do not understand the process to solve this problem:
A model rocket is launched with an initial upward velocity of 50 m/s . The rocket's height h (in meters) after t seconds is given by the following.
h=50t-5t^2
Find all values of for which the rocket's height is 30 meters.
Click here to see answer by nerdybill(7008)

Question 523978: how would you go about solving x^2-6x+9=100 useing square roots?
Click here to see answer by Edwin McCravy(8999)

Question 524078: the length of a rectangle is 4cm more than its width. if the area of the rectangle is 60cm^2 find the dimensions.
Click here to see answer by mananth(12270)

Question 524242: The base of a 20 foot ladder is 15 feet from a house. How far up the house does the ladder reach?
Click here to see answer by mananth(12270)

Question 523883: using the word problem that i am given (below) i am supposed to wirte a quadratic equation to model the problem. i have never been good at word problems so i though i would try this. thanks for your help in advance.
26. Brian wants to increase the size of his 3 feet by 6 feet garden. he wants to increase each side by the same amount to double the area. find the amount by which he should increase each side. round to the nearest tenth.
I tried to do proportion and found that (obviously) double 3/6 is 6/12 but i wasnt sure if that was even relevant to the question. I also know that quadratic formula is ex:3x^2+2x+5=0 Please help!
Click here to see answer by ankor@dixie-net.com(15746)

Question 524345: I need help with this please...There is the main question needing an answer with demonstration and I need an example please!!! Thank you!!!

A) How do you know if a quadratic equation will have one, two, or no solutions?
B) Demonstrate the process in detail with your own example.
C) Provide an example.
Click here to see answer by Earlsdon(6294)

Question 524737: how do i solve y=x^2-6x+1
Click here to see answer by stanbon(57967)

Question 524741: 5k^2=180
Click here to see answer by mananth(12270)

Question 524735: y=x^2-6x+1
Click here to see answer by oberobic(2304)

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