Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

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(35256)

Question 522895: Which of the following is one of the two binomial factors of 6s2 + 40s � 64?
Click here to see answer by stanbon(75887)

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(75887)

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(201)

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(22740)

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(7193)

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(16946)

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(7384)

Question 523978: how would you go about solving x^2-6x+9=100 useing square roots?
Click here to see answer by Edwin McCravy(20054)

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(16946)

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(16946)

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(22740)

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(75887)

Question 524741: 5k^2=180
Click here to see answer by mananth(16946)

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

Question 524747: each point lies on a parabola that has its vertex at (0,1) write the equation of the parabola. Indicate whether the graph opens up or down. (-1,6)
Click here to see answer by solver91311(24713)

Question 524804: The area of a paralleogram is given by the forumula a=bh. The area of a parallegogram on the right is equal to 96sq units. Find its base and height.
x+1
3x+1
Click here to see answer by solver91311(24713)

Question 524816: The base of a 20 foot ladder is 15 feet from a house. How far up the house does the ladder go? I asked this question already but the answer was not worked with the quadratic formula and i need to know how to solve in quadratic formula
Click here to see answer by solver91311(24713)

Question 524826: You dive from a board that is 32 feet above the water. The formula h=-16t(2)+16t+32 describes your height above water h in feet and t in seconds after you dive
What is the maximum height you reach? In quadratic formula
Click here to see answer by solver91311(24713)

Question 524830: solve the formula for the given letter
a^2+q^2=d^2, please solve for a

Click here to see answer by solver91311(24713)

Question 524837: Find the distance between (-1,-3) and (2,3)?
Click here to see answer by Maths68(1474)

Question 524836: two boats leave san diego at the same time. one boat sails due north and the due west. when they are 10 miles apart, the boat traveling north has sailed 2 miles farther than the boat sailing west.find the distance each boat has traveled.
Click here to see answer by mananth(16946)

Question 525092: 3x(squared)+10x-8
Click here to see answer by Alan3354(69443)

Question 525092: 3x(squared)+10x-8
Click here to see answer by Tatiana_Stebko(1539)

Question 525382: use the quadratic formula to solve the following equation for x in terms of the other variables:
ax^2-1=0
Click here to see answer by mananth(16946)

Question 525598: What two numbers when added equal negative 63, and when the second number is subtracted from the first they equal negative 41.
Click here to see answer by Maths68(1474)

Question 525768: x2+16=0
Click here to see answer by Earlsdon(6294)

Question 525873: Give exact and approximate solutions to three decimal places (x+9)^2 = 20?

Click here to see answer by Tatiana_Stebko(1539)

Question 525873: Give exact and approximate solutions to three decimal places (x+9)^2 = 20?

Click here to see answer by jim_thompson5910(35256)

Question 526067: Could someone please explain to me step by step how to complete this problem? I am able to get to the part where you simplify but am not able to get no farther.
During the first part of a trip, a canoeist travels 91 miles at a certain speed. The canoeist travels 2 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hrs. What was the speed on each part of the trip?
Click here to see answer by edjones(8007)

Question 526139: Could someone please explain to me step by step how to complete this problem? I am able to get to the part where you simplify but am not able to get no farther.
During the first part of a trip, a canoeist travels 91 miles at a certain speed. The canoeist travels 2 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hrs. What was the speed on each part of the trip?

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

Question 526341: use the following information.
On one of the banks of the Chicago River, there is a water cannon, called the
Water Arc, that sprays recirculated water across the river. The path of the Water
Arc is given by the model
y = �0.006x2 + 1.2x + 10
where x is the distance (in feet) across the river, y is the height of the arc (in feet),
and 10 is the number of feet the cannon is above the river.
What is the maximum height of the water sprayed from the Water Arc?
HELP PLEASE! i'm very stuck on this, and i need to learn it for my test.
Click here to see answer by stanbon(75887)

Question 526347: Could someone please show me step by step how to Write a quadratic equation in the variable x having the given numbers as solutions. Type the eqyation in standard form, ax^2+bx+c=0. solution -√5,6√5
Click here to see answer by stanbon(75887)

Question 526352: 2x^2+5x-1
Click here to see answer by jim_thompson5910(35256)

Question 526361: 2x^2+5x-1
Find the x-intercepts for the function.
x^2+5/2x=1/2 is where I am at now. I don't know how to get the next step to get the answer.
Click here to see answer by jim_thompson5910(35256)

Question 526413: p=dollars. r=rate of interest compounded anually. A= accummulated at the end of t years given by the formula. A=p(1+r)^t.
George invested $150.00 at a certian rate of interest compounded anually for two years. If the accumulated value at the end of two years is $175.00, find the rate of interest.
Click here to see answer by josmiceli(19441)

Question 526467: Problem solving:
Riding a bike. Cesar enjoys riding his bike from Washington, DC to Bethesda, Maryland and back a total of 30 miles on the Capital Crescent path. The trip to Bethesda is uphill most of the distance. The bike's average speed going to Bethesda is 5 mph slower than the average speed returning to DC. If the round trip takes 4.5 hours, find the average speed in each direction.
Please explain and show me the formula you plan to use to solve the problem.
Thanks
Click here to see answer by mananth(16946)

Question 526468: Word problem.
Ships. After a small oil spill, two cleanup ships are sent to siphon off the oil floating in Baffin Bay. The newer ship can clean up the entire spill by itself in 3 hours less time than the older ship takes by itself. Working together the two ships can clean up the oil spill in 8 hours. How long will it take the newer ship by itself to clean up the spill? Please explain how you get the answer. Thanks
Click here to see answer by stanbon(75887)

Question 526633: 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. The solutions are -6,4.
Click here to see answer by jim_thompson5910(35256)

Question 526675: Solve each equation by using the quadratic formula.
-9d-3d^2=5
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, 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