Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 550669: Which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring?
-b b2 - 4ac 2a
Use the part of the quadratic formula that you chose above and find its value given the following quadratic equation:
2x2 + 7x + 3 = 0

Click here to see answer by KMST(5328)

Question 550834: I need the derivative of :
y = (x^(5/3)/5) - (x^(4/3)/2)
The answer is supposed to be y' = (x^(2/3)/3) - (2x^(1/3)/3)
Help me I want to know how to do this.
Is there a solver on algebra.com to do this? Thank you
Click here to see answer by Alan3354(69443)

Question 550953: (2, -27) (3, -51) (4, -83)
Click here to see answer by Alan3354(69443)

Question 551021: y=(3x+9)(2x+4)
Click here to see answer by nyc_function(2741)

Question 551052: find k so thqqt the equation x2-11x+k=0 andx2-14x+2k=0 may have a common root

Click here to see answer by oberobic(2304)

Question 551052: find k so thqqt the equation x2-11x+k=0 andx2-14x+2k=0 may have a common root

Click here to see answer by KMST(5328)

Question 551010: The sum of the two roots of a quadratic equation is 5 and their product is -6. What could be the equation?
Click here to see answer by ankor@dixie-net.com(22740)

Question 551053: Here is a problem:
2 2
(3) + (4) = (I believe the anwser is: (9) + (16) = 25
But there are time when only the exponents are added and not the whole
numbers. When do I know how to tell the difference in solving?
Click here to see answer by mananth(16946)

Question 551123: x^2+5x+6=0
Click here to see answer by jim_thompson5910(35256)

Question 551109: How many real and imaginary roots does 4x^2+8x+4 have?
Click here to see answer by jim_thompson5910(35256)

Question 551125: convert to vertex form

y=x^2+9x+12
Click here to see answer by jim_thompson5910(35256)

Question 551022: y=(x-3)(-x-4)
y=x^2-16
Click here to see answer by ankor@dixie-net.com(22740)

Question 551206: Find the equation of the axis of symmetry for y=2x^2+8x-1. Use the formula x= -b/2a
Click here to see answer by Alan3354(69443)

Question 551007: The thickness of concrete that lines a swimming pool is a function of the depth of the pool. If d represents the depth, in feet, of the pool and t(d) represents the thickness, in inches, of the concrete, then t(d)=. Of the following, which is the closest approximation to the thickness, in inches, of the concrete at a depth of 10 feet?
A) 0.5 B)1.5 C)6.2 D)7.2 E) 10.5
Click here to see answer by richard1234(7193)

Question 550693: What does it mean if your solution is a complex number? Explain what a complex solution means both algebraically and graphically.Thanks a ton!!
Click here to see answer by richard1234(7193)

Question 551563: what effect does the coefficient a have on the whole equation ax^2+bx+c?
Click here to see answer by Alan3354(69443)

Question 551695: If a farmer digs his potatoes today, he will have 100 bags worth $2 a bag. Every week he waits the crop increases by 10 bags and the price drops by 10 cents a bag. When should the farmer dig his potatoes in order to maximize his profit?
I appreciate any help:)
Click here to see answer by ankor@dixie-net.com(22740)

Question 551828: Solve: 5x^2 -4x -33 = 0

Click here to see answer by jim_thompson5910(35256)

Question 551700: Algebraically determine the EXACT roots in simplest form:
(2x/x+2)=(3/x-2)-(12/x^2-4)
Click here to see answer by KMST(5328)

Question 551875: Help! I am solving this and coming up with 25 which is wrong because I need to find the year.
The formula F = 0.03x2 + 22 models the percentage of female tenured
faculty, F, at State University x years after 1980. According to the formula,
in what year will the percentage of female tenured faculty reach 40.75?
Click here to see answer by edjones(8007)

Question 551924: "You are making a frame of uniform width for a picture that is to be displayed at the local museum. The picture is 3.25 feet tall and 3 feet wide. The museum has allocated 15 square feet of wall space to display the picture. What should the width be of the frame in order to us all of the allocated space?"
Click here to see answer by ankor@dixie-net.com(22740)

Question 551984: When solving quadratic equations, or any equation, why is it important to know and understand the vocabulary that encompasses the concept? Provide an example concept and vocabulary terms that support that concept.
Click here to see answer by richard1234(7193)

Question 551921: which equation has roots whose sum is 3 and whose product is -4 ?

Click here to see answer by richard1234(7193)

Question 552093: Among rectangles with a perimeter of 350 cm, what are the dimensions of the one having maximum area? Lesson is about the application of quadratic equations, and it requires a complete solution. Thank you! :)
Click here to see answer by neatmath(302)

Question 552096: How do you solve a quadratic equation when there is no b value? e.g. 4x� - 6 = 0
Click here to see answer by mananth(16946)

Question 552366: If one root of a quadratic equation is 3-2i, find the other root and write the equation.
Click here to see answer by KMST(5328)

Question 552851:
Click here to see answer by jim_thompson5910(35256)

Question 552892: Solve.
t2 + 4t = 1

Click here to see answer by jim_thompson5910(35256)

Question 552848: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
5x + 35y = -10
15x + 5y = 170
Click here to see answer by mananth(16946)

Question 552957: "what is the value of x?"
2x� + 12x + 15 = 0

Click here to see answer by AnlytcPhil(1806)

Question 553142: -5r^2-3r+2=0
Click here to see answer by jim_thompson5910(35256)

Question 553299: 2. The perimeter of a rectangular field is 140 yards. The land sells for $10 / yd2 and the total cost of the land is $12,000. What are the dimensions of the field?

Click here to see answer by prateekagrawal(56)

Question 553310: Are these parallel, perpendicular or neither
y=4x-1/3
2y=-1/2x+3
Click here to see answer by mananth(16946)

Question 553314: In a hall, there are 180 seats. The number of seats in each row is 8 more than the number of rows. Find the number of rows
Click here to see answer by mananth(16946)

Question 553679: help solve g(t) = t-3/t^2-3t+2 t=-2, t=1
Click here to see answer by Maths68(1474)

Question 553737: 2
If the sides of a square are lengthened by 8cm, the area becomes 196cm .
find the length of a side of the original square
Click here to see answer by rapaljer(4671)

Question 553736: write down and simplify a quadratic equation whose solutions are approximately -3.3 or 0.3. you must show clearly how you obtain your answer]
Click here to see answer by josmiceli(19441)

Question 553844: How do you do vertex form for quadratic Functions?
y=3(x-7)2-1

Click here to see answer by stanbon(75887)

Question 554249: We were given the following tasks in class:
1. Fill in the missing data in the table.
2. Write an equation for the data table.
After just playing around with the numbers, I could not spot any easily identifiable pattern. I have tried graphing the points that are given. I've also tried solving a system of equations, but either I messed that up, or that avenue won't work. Any help is appreciated! Here's the data table as it was given: x(input) on the left/y(output) on the right with ? for missing data
x/y
1/8
2/14
3/?
?/24
?/28
6/?
What I'd really like help with is the equation. Thanks!
Click here to see answer by KMST(5328)

Question 554524: Describe the nature and the number of the solutions of 2x^2-7x+9=x+1
Click here to see answer by josmiceli(19441)

Question 554524: Describe the nature and the number of the solutions of 2x^2-7x+9=x+1
Click here to see answer by kkasko(46)

Question 554548: I need help solving two problems. Using the quadratic formula.
x^2 - 3x - 1 = 0 (a=1, b= -3 and c = -1
4x^2 + x - 1 = 0 (a =4, b=1, and c = -1
Click here to see answer by Edwin McCravy(20054)

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, 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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