Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 819928: I am confused when it comes to the different ways of factoring in Algebra 2. I understand algebraic way but when it comes to completing the square, it gets confusing! I have a EOC coming up and the topic of factoring and solving is driving me crazy!!!
Click here to see answer by richwmiller(17219)

Question 820359: If a rocket is launched from Houston, Texas, with an initial velocity of 1600 feet per second, when will the rocket be 14,400 feet high?
Click here to see answer by stanbon(75887)

Question 820432: y^2+6x=10
Click here to see answer by ewatrrr(24785)

Question 820464: complete the square: 2x^2+x-28=0
Click here to see answer by TimothyLamb(4379)

Question 820472: A model rocket is launched (from the ground s0=0) with an initial velocity (V0) of 320 ft./sec.
a. Find the Position equation for the rocket
b. How high did the rocket get? (find the y coordinate of the vertex)
c. How long did the rocket take to reach its maximum height? (find the x coordinate of the vertex)
d. How long did the rocket take to return to earth?
e. How fast was the rocket going when it hit the ground?
I am very lost on this
Click here to see answer by josmiceli(19441)

Question 820554: If each side of a square is increased by 4m, the area would be increased by 64 square meters. Calculate the side of the original square.
I am stumped, I cannot think of the equation to get started.
Click here to see answer by Alan3354(69443)

Question 820657: Lauren shot a rocket from her backyard.The equation that models this scenario is y=-16x^2+80x+10. For how long was Laurens rocket above 74 feet?
Click here to see answer by TimothyLamb(4379)

Question 820654: Hello, this is a question from my Algebra 2 textbook:
Find all values of c for which the equation has (a) two real solutions, (b) one real solution, and (c) two imaginary solutions.
x^2 - 2x + c = 0
Thanks!
Click here to see answer by jim_thompson5910(35256)

Question 820943: Using synthetic division, what is the quotient of f(x)=x^4-x^2+3x; g(x)=x+1
Click here to see answer by josgarithmetic(39614)

Question 820945: What is the quotient of f(x)=2x^3+8x^2-5x+5; G(x)=x-2 using synthetic division
Click here to see answer by josgarithmetic(39614)

Question 821017: We can't figure out what the question is asking for. Please help. Here is the question.
Which of the following shows the right side of the equation after applying the reasonable step 2/3 -h/2=5/8
The answers are:
a)5/8+5/5
b) 5/8-5/8
c) 5/8+2/3
d) 5/8-2/3
Click here to see answer by richwmiller(17219)

Question 821046: What is the factor for this trinomial
x^2+x-20
Click here to see answer by Alan3354(69443)

Question 821040: What is the sum of the roots of 6x^2 - x - 1 = 0
Click here to see answer by TimothyLamb(4379)

Question 820708: Mrs.Ballero has a square photo of her beautiful children that she would like to add a uniform border to. Her frame is 6 inches by 6 inches. She wants no more than 45 square inches of area added to the photo. Write an inequality that can be used to find the possible values
Click here to see answer by ankor@dixie-net.com(22740)

Question 821142: Please help me solve this equation: An apple pie and a pumpkin pie are being served at thanksgiving dinner. The apple pie is sliced first. One person eats 1/12 of the pie, the second person eats 1/24 of the pie, and a third person eats 1/12 of the pie. The pattern continues in this way. When the pumpkin pie is sliced for the first time, the first person eats 1/9 of the pie, the second person eats 1/18 of the pie, the third person eats 1/9 of the pie the pattern continues in this way. If both pies have been eaten, how many more people have eaten apple pie than pumpkin pie?
-thanks!!
Click here to see answer by stanbon(75887)

Question 820812: what is the order and degree of (1+y^2)^3/2=5
Click here to see answer by richwmiller(17219)

Question 821303: my problem is: "The amount accumulated in a bank account over a time period 't' and based on an initial deposit of $200 is found using the formulas A(t)=200(1.025) and it has a squared 't' at the end of the closing parenthesis., t is less than or equal to 0. Time, t, is represented on the horizontal axis. the accumulated amount, A(t), is represented on the vertical axis."
what i want to know is:
a.How do you find the x-intercept?
b.How do you find the doain?
c.How to find the range?
d.And how to find out if the function has a max or min. value?
Click here to see answer by stanbon(75887)

Question 821292: find all zeros of the polynomial f(x)=x^3+9x^2-36x-324 and determine the multiplicity of each?
Click here to see answer by ewatrrr(24785)

Question 821326: What is the x- and y- axis of f(x)=(x-4)(x+2)^2(x-2)
Also, does the graoh of f touch or cross the x-axis at the x-intercept?
Click here to see answer by josgarithmetic(39614)

Question 821400: How do I factor t^2+2t-19=5?
And can you please show me step-by-step?
Click here to see answer by mananth(16946)

Question 821469: Construct a polynomial given the information below:
a second degree polynomial with zeros �2 and 5 and a constant term of �30
Click here to see answer by jsmallt9(3758)

Question 821554: Use the quadratic formula to solve

Click here to see answer by ewatrrr(24785)

Question 821566: A rocket fired vertically upwards follows the law y=48t-8t^2
Plot a graph y against t for values of t from 0 to 6 seconds
By solving the quadratic equation find the times t1 and t2 when the rocker is at a height of 'a' metres above the launch point.
Value of a is 25
Give final answer correct to 3 decimal places and check the answers using your graph.
Click here to see answer by stanbon(75887)

Question 821654: a rectangle is 3cm longer than it is wide. the diagonal is 15 cm. find the dimensions of the rectangle. use quadratic formula
Click here to see answer by stanbon(75887)

Question 821654: a rectangle is 3cm longer than it is wide. the diagonal is 15 cm. find the dimensions of the rectangle. use quadratic formula
Click here to see answer by TimothyLamb(4379)

Question 821708: Redwood Growth
The growth, f(x), in inches per year of a redwood tree less than 30 years old is given by the function f(x)= -0.02x^2+x+1, where x represents the number of inches of rainfall per year.
a)Find the growth per year of a redwood tree in a year in which there is 12 inches of rainfall.
b) If the growth of a redwood tree in one year is 10 inches, find the number of inches of rainfall for that year. Round answer to 2 decimal places.
Click here to see answer by TimothyLamb(4379)

Question 821710: Oil Leak
A tractor has an oil leak. The amount of oil, L(t), in milliliters per hour that leaks out is a function of the tractors operating temperature,t, in degrees Celsius. The function is L(t)=0.0004t^2+0.16t+20,100 degrees Celsius<=160 Celsius
a) How many milliliters of oil will leak out in 1 hour if the operating temperature of the tractor is 100 C?
b) If oil is leaking out at 53 milliliters per hour, what is the operating temperature of the tractor?
Click here to see answer by TimothyLamb(4379)

Question 821733: What are the different methods of solving quadratic equations? What method do you prefer, and in what cases?
Click here to see answer by TimothyLamb(4379)

Question 821733: What are the different methods of solving quadratic equations? What method do you prefer, and in what cases?
Click here to see answer by richwmiller(17219)

Question 820881: (-32x^2/50^2) + x. Solve for X.
Click here to see answer by TimothyLamb(4379)

Question 821487: a sum of Rs 10 is divided among a number of persons; if the number had been increased by one-fourth each would have received 5 paise less: find the number of persons. (Rs 1 = 100 paise)
Click here to see answer by TimothyLamb(4379)

Question 820815: A box with open top is formed from a square sheet of metal by cutting 30cm squares from the corner and folding up to the sides. The box is to have a volume of .
A.Find the dimension of the sheet of metal
B.Find the dimensions of the box
An illustration would be helpful thanks
Click here to see answer by TimothyLamb(4379)

Question 821503: A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is formed by cutting squares that measure 5 inch on each side from the four corners and then folding up the sides.
If the volume of the box 65 in ^3 what are the dimensions of the piece of cardboard?
The Height?
The width?
Click here to see answer by TimothyLamb(4379)

Question 821806: What is the ordered pair of the vertex of f(x)=x^2+8x+6?
Click here to see answer by ewatrrr(24785)

Question 821922: Find the maximum value of the equation: y=-16t^2+80t+2
Click here to see answer by Alan3354(69443)

Question 821922: Find the maximum value of the equation: y=-16t^2+80t+2
Click here to see answer by DrBeeee(684)

Question 821948: [ 14x + 6 = -4x^2 ]
Will the graph of the equation above intersect the x-axis in zero, one, or two points?
(Use the quadratic formula to help you answer this question.)

Click here to see answer by TimothyLamb(4379)

Question 821955: f(x) = -3x^2+2x-1
Fine the vertex and axis of symmetry.
Click here to see answer by TimothyLamb(4379)

Question 821976: A launcher is used to shoot water balloons up into the air. The initial velocity of the water balloon affects both how high it goes and how long it stays in the air. How many seconds will people have to dodge the balloon if it is launched with
a. Initial velocity 320 ft./sec?
b. Initial velocity 240 ft./sec?
c. Initial velocity 160 ft./sec?
d. Initial velocity 80 ft./sec?
e. Initial velocity 64 ft./sec?
f. Initial velocity 32 ft./sec?
Thanks in advance
Click here to see answer by Alan3354(69443)

Question 821983: A ball is thrown at an initial height of 7.5 feet with an initial velocity of 130 feet per second. The following equation gives the height h(t) of the ball in feet after t seconds.
h(t) = -16t^2 + 130t + 7.5
How long will it take the ball to hit a window at a height of 30 feet assuming it strikes on the downward path?
Click here to see answer by TimothyLamb(4379)

Question 822071: the side of a square were extended to form a rectangle 8cm longer and 3cm wider than the square. the area of the rectangle is 204 cm^2. what was the area of the original square?
Click here to see answer by josgarithmetic(39614)

Question 822178: [ solve the quadratic 3m^2-9=0 ]
Click here to see answer by TimothyLamb(4379)

Question 822177: [ solve the quadratic 2n^2 - 8n + 1 = 0 ]
Click here to see answer by TimothyLamb(4379)

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