Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 110773: Can you help?
Given the function: f(x) = -3(x + 2)2 (squared), find the vertex, axis of symmetry, and determine whether the f(x) has a minimum or maximum point.
Thank you.
Click here to see answer by edjones(7569)

Question 110479: Factor each equation to determine if it contains a quadratic factor. If so, write the the factored form of the equation. x^5 -4x^4 -12x^3=0
Click here to see answer by ankor@dixie-net.com(15646)

Question 110554: if the problem iz (x-1)(2x+6)-2xsquared would the constant term be -2 or -6??
if what would the linear term be for the function (3x-5)(2x-3) -19x 15xsquared or 6xsquared
Click here to see answer by edjones(7569)

Question 110872: Please help with this problem:
Find all zeros of f: f(x) = 3x^2 + 5x - 2
I believe you use the quadratic formula to solve or do I need to factor?
Click here to see answer by jim_thompson5910(28536)

Question 110875: Where is the answer for question 33638 and for question 110358? I looked but only saw the question, not the explanations.
Thanks.
Click here to see answer by bucky(2189)

Question 110887: Solve the following by factoring:3x^2 - 6x = 0

Click here to see answer by MathLover1(6625)

Question 110889: Y=x^2-2x+4 how do i find the x-intercept?
Click here to see answer by jim_thompson5910(28536)

Question 110997: How do I solve this 2y^2-y=6 quadratic equation using the Quadratic Formula.
Click here to see answer by jim_thompson5910(28536)

Question 111036: The Height in feet of a baseball above ground is given by h(t)=-16t^2+32t+3 where t represents the time in seconds after the baseball is thrown.
If you throw the ball into the air, how many seconds have passed until the ball hits the ground??

I really don't understand how to put this problem in the equations it's supposed to go into and I don't understand how to solve them...help!
Click here to see answer by scott8148(6628)

Question 111028: Calculate the value of the discriminant of x^2 + x + 3 = 0 By examining the sign of the discriminant in the previous equation, how many x-intercepts would the graph of y = x^2 +x + 3 have? why?
Click here to see answer by stanbon(57285)

Question 111052: Please help! Solve the following exponential equation:
26 over(/)1-2e^6x = 50
I tried multiplying the denominator on the left & right, and dividing by the 50 to get this far: 26/50 = 1-2e^6x
I tried subtracting the one and multiplying the -2, but I wound up with Ln48/50 = 6x. My answers to that are wrong. What am I missing? How do you do this problem if I'm wrong?
Click here to see answer by scott8148(6628)

Question 111126: Can some one help me with a real life example of a quadratic function with two values of x while finding the corresponding y for both? thanks
Click here to see answer by swerner7(1)

Question 111184: how do i graph?
1) y=4(x-6)(x-4)

2) y=3(x+4)(x+3)
3) y=3(x+5)(x=4)
4) y+4(x-4)(x-2)
5) y=4(x-7)(x-5)

Click here to see answer by MathLover1(6625)

Question 111206: Ok this is my 4th and final question of the day. you guys are awesome to spend your time helping non math minded people like myself:)
solve the equation:
x+6/3=x+6/x
Click here to see answer by solver91311(16872)

Question 111205: Ok here is my 3rd question for the day.
Solve the equation:
x^2-225=0
do i add 225 to both sides to start out?
Thanks so much!!
Click here to see answer by solver91311(16872)

Question 111186: Hello,
In the proof of the quadractic equation, you begin by dividing both parts by "a".
ax2 (2 is the square)+ bx + c = 0
(divide both sides by a)
x2(2 is the square) + b/a.x + c/a = 0
(then suddenly)
x2(2 is the square) 2.(b/2.a).x = c/a = 0
Then all of a sudden, a "2" appears. Where did that come from?
Thank you for your help.
Barbara
Click here to see answer by Earlsdon(6287)

Question 111200: I need some help on quatratic equations. The first question is:
The discriminant of the quadratic equation -2x^2+8x+5?
Thank you in advance for your help!!!
Click here to see answer by solver91311(16872)

Question 111223: I am graphing a parabola and I have all of my points done but I'm having a problem getting the x & y vertex's....the equation is 3x²-x-1=0 ...I have 1.5 for x but I'm told this is wrong and I have no idea how to solve it for the y vertex. Please help!
Thanks so much!
B. Cook
Click here to see answer by solver91311(16872)

Question 111372: x^2-9=0
Click here to see answer by jim_thompson5910(28536)

Question 111375: y^2-5y=0
Click here to see answer by jim_thompson5910(28536)

Question 111371: x2-9=0
Click here to see answer by jim_thompson5910(28536)

Question 111370: Given 3 sides of a rectangular fence have a perimeter of 80 feet. Find the largest possible area.
Click here to see answer by jim_thompson5910(28536)

Question 111116: solve by factoring
1. x^2 +7x+10=0
2 3x^2-6x=0

only two problems to solve. need help
Click here to see answer by jim_thompson5910(28536)

Question 111378: The altitude of a triangle is 3 inches more than its base. What are the dimensions if the area of the triangle is 29 square inches?
Click here to see answer by edjones(7569)

Question 111386: Show and explain your steps using the quadratic formula.
2x^2-3x-2=0
Thank you for your time and help!
Click here to see answer by HyperBrain(694)

Question 111414: Could you please help me with an application using a quadratic equation?
The question is: The width of a rectangular parking lot is 51 ft less than its length. Determine the dimensions of the parking lot if it measures 250 ft diagonally.
What I've got so far:
x^2+(x-51)^2=250^2
x^2+x^2-102x+2601=62500
2x^2-102x-59899=0
factor out 2
x^2-51x-29949.5=0
I stopped there because I got a decimal number (29949.5) and that seems wrong.
Please help!
Thank you in advance!
Brenda
Click here to see answer by Earlsdon(6287)

Question 111413: Could you please help me with this application using a quadratic equation?
W=sqrt1/(LC) solve for L (an electricty formula)
I honestly don't even know where to begin...please help!
Thank you in advance!
Brenda
Click here to see answer by Earlsdon(6287)

Question 111421: Could you please help me with an application question involving a quadratic equation?
The question is: On a sales trip, Gail drives the 600 mi to Richmond at a certain speed. The return trip is made at a speed that is 10 mph slower. Total time for the round trip is 22 hr. How fast did Gail travel on each part of the trip?
This is what I've got so far:
t[1]=600/r
t[2]=600/(r-10)
(600/r)+(600/(r-10))=22
r(r-10)(600/r)+r(r-10)(600/(r-10))=r(r-10)22
600(r-10)+600r=22r(r-10)
600r-6000+600r=22r^2-220r
22r^2-1420r+6000=0
I know at this point to plug it into quadratic equation form... but when factoring this I get decimal numbers, so it seems wrong.
-(-64.545)+-(sqrt(-64.545)^2-4(1)(272.727))/2(1)
64.545+-(sqrt4166.057-1090.908)/2
64.545+-(sqrt3075.149)/2
(64.545+55.454)/2=60
or
(64.545-55.454)/2=4.5
Please help!
Thank you in advance for your help!
Brenda
Click here to see answer by jim_thompson5910(28536)

Question 111423: I am having trouble with all five of these quadratic equations PLEASE HELP!
1.
2.
3.
4.
5.
Any help would be greatly appreciated. I am going to continue working on these problems. They are due today by 4:30 p.m. est.
Click here to see answer by jim_thompson5910(28536)

Question 111388: How do I write a quadratic equation for a parabola given the vertex and the y-intercept?
I am also attempting to determine the values of "a" and "b" in the equation.
Ordered pairs are as follows:
(0,53)- y-intercept
(2,35)- vertex
(4,42)
(6,54)
(8,82)
My textbook ISBN is 0-13-175204-9
Thanks in advance!
Click here to see answer by scott8148(6628)

Question 111478: I am needing to find a real-life application of a quadratic function. I cannot use any version of projectile motion. I am having a really difficult time with this someone please please help
Click here to see answer by Fombitz(13828)

Question 111481: how do you write the quadratic equation: y=-2x^2-12x+11 in standard form?
Click here to see answer by solver91311(16872)

Question 111482: state the maximum or minimum value of the quadratic function and name the x-value at which this occurs: f(x)=-2 (x+1)^2-5
Click here to see answer by jim_thompson5910(28536)

Question 111412: Could you please help me with this application involving a quadratic equation?
s=v[0]t+(gt^2)/2 solve for t (a motion formula)
First I got rid of the fraction by mulitplying the equation by 2
2s=2v[0]t=gt^2
2s/2v[0]t-g=t^2
sqrt 2s/2v[0]t - g = sqrt t^2
sqrt 2s/2v[0]t - g = t
I have a feeling I'm completely off... but I tried. Please help!
Thank you in advance!
Brenda
Click here to see answer by Fombitz(13828)

Question 111500: For the following function, tell where the function is increasing and decreasing. What is the concavity? Give the coordinates of the vertex and the equation of the axis of symmetry. f(x)= -3(x+2)^2+3
Click here to see answer by checkley71(8403)

Question 111502: find the slope and y intercept of the line -3x+2y-6=0
Click here to see answer by checkley71(8403)

Question 111497: State the minimum or maximum value for the quadratic function and name the x value at which this occurs: f(x)-2^2-6+5
Click here to see answer by solver91311(16872)

Question 111571: Use the quadratic formula to solve the equation.
3x^2-5x-7=0
Click here to see answer by jim_thompson5910(28536)

Question 111625: If the area of a rectangle is 2x(squared)+11x+5 what is the length and width and how do you get it?
Click here to see answer by checkley71(8403)

Question 111625: If the area of a rectangle is 2x(squared)+11x+5 what is the length and width and how do you get it?
Click here to see answer by FadelSalem(12)

Question 111626: If the area of a rectangle is 2x(squared)+11x+5 what is the length and width and how do you get it?
Click here to see answer by checkley71(8403)

Question 111604: Will you please help me solve the following quadratic equation?
m=(m[0])/sqrt(1-(v^2/c^2)) solving for c
This is what I've attempted...
multiply both sides by the LCM sqrt1-(v^2/c^2)to get rid of the fraction
(m)qrt1-(v^2/c^2)=m[0]
then multiply both sides again to get rid of the fraction in the sqrt?
(mc^2)sqrtc^2-v^2=m[0]
then divide both sides by (m)sqrt(c^2-v^2)
c^2=(m[0])/(m)sqrt(c^2-v^2)
square both sides with a final answer of
c=sqrt(m[0])/(m)sqrt(c^2-v^2)
Thank you in advance for your help!!
Brenda

Click here to see answer by stanbon(57285)

Question 111713: please help me to solve this equation
Click here to see answer by MathLover1(6625)

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