Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

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(1852)

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(7569)

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(15622)

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(5390)

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

Click here to see answer by richard1234(5390)

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(300)

Question 552096: How do you solve a quadratic equation when there is no b value? e.g. 4x² - 6 = 0
Click here to see answer by mananth(12269)

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(1852)

Question 552851:
Click here to see answer by jim_thompson5910(28476)

Question 552892: Solve.
t2 + 4t = 1

Click here to see answer by jim_thompson5910(28476)

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(12269)

Question 552957: "what is the value of x?"
2x² + 12x + 15 = 0

Click here to see answer by AnlytcPhil(1276)

Question 553142: -5r^2-3r+2=0
Click here to see answer by jim_thompson5910(28476)

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(12269)

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(12269)

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(4667)

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(9645)

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

Click here to see answer by stanbon(57203)

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(1852)

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(9645)

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(8879)

Question 554583: solve for the positive value of x: 6x^2-54=0
Click here to see answer by jim_thompson5910(28476)

Question 555067: a certain number is added to the square of the number results in 8.75.what is the number?

Click here to see answer by edjones(7569)

Question 555084: x2+35x-150=0
Click here to see answer by josmiceli(9645)

Question 555153: Okay I started an internet college algebra class, and I'm kicking myself for it! My website will not allow me to watch clips on solving problems... so I need help on figuring this problem due to I have 5 more just like it. Any help would be appreciated.
Here's my problem:
x=3 and Y=-2
[X]+[Y]=?
If someone could tell me what kind of math problem is called it would be appreciated!!!

Click here to see answer by nerdybill(6948)

Question 555180: How can i find the vertex of

Y=(x-4)^2 +5
Click here to see answer by jim_thompson5910(28476)

Question 555324: how do you solve 6x^2-11x-35=0
Click here to see answer by jim_thompson5910(28476)

Question 555479: solve:
x^2-x-40=2
Click here to see answer by jim_thompson5910(28476)

Question 555500: How can i find the y-intercept using x=0 in the quadratic y= 2x^-5x-3? do I use the formula -b/2a to find the vertex for x or y=ax^2+bx+c or both? I need very clear instructions for this because i simply don't understand, sorry.
Click here to see answer by Earlsdon(6287)

Question 555790: Solve the equation. (Enter solutions from smallest to largest. If there is no solution, enter NONE in the answer boxes.)
x2 - 5x + 5 = 0
X=
x=
Click here to see answer by jim_thompson5910(28476)

Question 555974: I am trying to solve for x^2 +12x – 64 = 0 I have to use the Indian Method and I am having a difficult time because I have to show all of my work for the seven steps.
Click here to see answer by KMST(1852)

Question 555970: I am trying to solve the equation for x^2 – 2x – 13 = 0 I have to use the Indian Method and I am having a difficult time because I have to show all of my work for the seven steps.
Click here to see answer by KMST(1852)

Question 556161:
Find a quadratic model for each set of values.

(-1, 1), (1, 1), (3, 9)

Click here to see answer by KMST(1852)

Question 556117: Please help! Find and label the vertex and line of symmetry. graph the function.
f(x)= -1/5x^2
I got (0,0) and the line of symmetry is 0. Am I right?
Click here to see answer by ankor@dixie-net.com(15622)

Question 556361: Help please! Find and label the vertex and line of symmetry. graph the function.
f(x)= -1/5x^2
I got (0,0) and the line of symmetry is 0. Am I right?
Click here to see answer by jim_thompson5910(28476)

Question 556451: A catapult launches a boulder with an upward velocity of 148 ft/s. The height of the boulder (h) in feet after t seconds is given by the function h = –16t² + 148t + 30. How long does it take the boulder to reach its maximum height? What is the boulder’s maximum height? Round to the nearest hundredth, if necessary
Click here to see answer by nerdybill(6948)

Question 556467: Please Help! Find the vertex, line of symmetry, the maximum/minimum value of the quadratic function.
f(x)= -2x^2+2x+10
I got x= 1/2
y= 21/2
the line of symmetry is x= 1/2
the maximum/minimum of f(x)is 21/2
the value. f(1/2)=(21/2)is the maximum
Did I do this right?
Click here to see answer by jim_thompson5910(28476)

Question 556472: Determain the nature of the solutions.
x^2+18=0
A. 1 real solution
B. 2 imaginary solutions
C. 2 real solutions
I got B. Am I right?
Click here to see answer by jim_thompson5910(28476)

Question 556504: f(x)= -4x^2-8x+3
is this a minmum or a maximum
what is the value
Click here to see answer by prateekagrawal(56)

Question 556843: Solve for x.
x^2+32=8x
I got (8+8i/2 , 8-8i/2)
Am I on the right track?
Thank you

Click here to see answer by stanbon(57203)

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