Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1871: What is the name of the highest or lowest point on a parabola?

Click here to see answer by Ne0(6)

Question 1871: What is the name of the highest or lowest point on a parabola?

Click here to see answer by longjonsilver(2297)

Question 1877: need help solving the equation by completing the square 3x^2-18x+28=0
Click here to see answer by usyim88hk(157)

Question 1877: need help solving the equation by completing the square 3x^2-18x+28=0
Click here to see answer by longjonsilver(2297)

Question 1752: a) Jim is going to put new carpet in his bedroom. Jim's bedroom is 10ft. by 12ft. How many square feet of carpet does he need?
b)Jim also needs some new base bored to go around the room. How much does he need?
Click here to see answer by xen0gears(3)

Question 1895: the sides of a triangle touch a parabola and two of its angular points lie on another parabola with its axis in the same direction. prove that the locus of the third angular point is another parabola.
Click here to see answer by longjonsilver(2297)

Question 1916: Lucy tosses a ball up to Carry, waiting at a third-story window, with an initial velocity of 30 feet per second. She releases the ball from a height of 6 feet. The equation h=-16t^2+30t+6 represents the height, h, of the ball after t seconds. If the ball must reach a height of 25 feet for Carry to catch it, does the ball reach Carry? Explain.
(Hint: Substitute 25 for h and use the discriminant.)
Click here to see answer by longjonsilver(2297)

Question 1914: I can't find an example in my book or any where. Please help. Thank you.

X2 (X squared) +7X +6=0
I am supposed to find the Quadratic. Quadratic what?
Thank you.
Click here to see answer by longjonsilver(2297)

Question 1912: Solve by completing the square.
z^2 + z = 2
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Question 1883: x^2-5x=14
Click here to see answer by smartdude17(30)

Question 1919: I am trying to get through some problems....one of which is:
y=x^2-6x+2
I'll be asking for many more but I will do one at a time. :)
~Jolene
Click here to see answer by longjonsilver(2297)

Question 1926: solve by suitable methods without decimals in answer
x^2+6x-8=0
Click here to see answer by longjonsilver(2297)

Question 1923: x^2-5x-7<0
Help!
:)
Click here to see answer by longjonsilver(2297)

Question 1938: I am having some problems trying to figure out the formula for this word problem....can you help?
A taste test with 200 randomly selected people found that only three of them said that they would buy a box of new Glazed Cheerio's cereal. How many boxes could the manufacturer expect to sell in a country of 280 million people?
--I started with 3/200=x/280million and didn't get much farther than that.
Click here to see answer by longjonsilver(2297)

Question 1942: 6x^4-54x^2

I am supposed to factor completely--I have this so far:
6x^2(x^2-9)6x^2(x-3)(x+3)
Is this right so far....do I go any further?
Click here to see answer by longjonsilver(2297)

Question 1943: Factoring completely:
20x^2+100x+40
I have this so far:
20(x^2+5x+2)
Is this right and do I need to go further??
Click here to see answer by longjonsilver(2297)

Question 1950: How do you do this problem
2x^2 + 13x + 15 = 0
Click here to see answer by longjonsilver(2297)

Question 1950: How do you do this problem
2x^2 + 13x + 15 = 0
Click here to see answer by usyim88hk(157)

Question 1955: x^2 +81 = 4x
Click here to see answer by usyim88hk(157)

Question 1958: What is the x and y intercept of y = x^2 - 6x
I got (0,0)as the y intercept but I am stuck on how to get the x intercept.
Click here to see answer by longjonsilver(2297)

Question 1983: I am trying to find the quadratic equation for when y=2 and x= -1.
Click here to see answer by longjonsilver(2297)

Question 1985: Re: quadratic with y=2 and x= -1, the parabolic graph is reversed, ie. vertex is at (-1, 2). It also appears that when x=1, y=0 and when x= -3, y=0.
Click here to see answer by longjonsilver(2297)

Question 1986: Sorry, long time since I've done maths! The question is "find a formula for the quadratic function as shown." The intercepts are (x= -1,y=2,) ( x=1, y=0 )and (x= -3, y=0.) Thanks for your time and help.
Click here to see answer by longjonsilver(2297)

Question 1931: y=-3x^2+2x+7
I am still a little lost on this type of problem.
Click here to see answer by smartdude17(30)

Question 2004: How can you find the vertex of a parabola if you only know the roots or zeros?
Click here to see answer by longjonsilver(2297)

Question 2003: What information is needed about a parabola to find it's equation in factored form?
Click here to see answer by longjonsilver(2297)

Question 1998: Help would be much appreciated with the following question.
The standard equation of a parabola is
y^2=4ax
A general point on this curve has co-ordianates x=at^2, y=2at where t is a (variable) parameter. A point P on the curve has co-ordinates x=a(t1)^2,
y=2a(t1). A chord is drawn through P to meet the parabola again at Q, which has co-ordinates x=a(t2)^2, y=2a(t2).
if this chord passes through the focus S =(a,0) of the parabola finda a simple relationship between (t1) and (t2).
Find the point at which the tangents to the parabola at P and Q meet.
(t1) is my notation for t with a subscript 1
(t2) is my notation for t with a subscript 2.
thankyou in advance!

Click here to see answer by longjonsilver(2297)

Question 2075: can you give me a detailed way of how to solve a Parabola through 3 given points? the points are (0,2),(3,0),and (5,2). thx.
Click here to see answer by khwang(438)

Question 2032: In a case of a quadratic equation, why are there two x-intercepts and one y-intercept?

Click here to see answer by khwang(438)

Question 2027: I have a problem i need to do. It goes like this:
Y=-1/4(x+2)2(sguared)-1
and i need to find:
Direction Of Opening:
Vertex:
Focus:
Axis of Symmetry:
Directrix:
If you can please e-mail me back the answers ASAP that would be great. Thanks
Click here to see answer by khwang(438)

Question 2062: This is an equation in quadratic form.
I need to find all roots.
What are the steps. I am unclear on how to substitute.
(3/n) - (7/(sqrt n)) - (6) = 0
I think that the answer is 1/9, but I am not sure if I substituted right.
Click here to see answer by khwang(438)

Question 2079: The height of a object in feet at time t in seconds is h= 72t-16t^2. When does it hit the ground and what is its maximum height?
Click here to see answer by matthew_sessoms(39)

Question 2078: What is the domain and range of the parabola -14x^2+36x-30=0 ?
Click here to see answer by matthew_sessoms(39)

Question 2020: (2x-3)(x+5)=6
Click here to see answer by Jessmh123(22)

Question 2141: Solve by completing the square. Get the answer to the loswest possible terms.
x^2-8x+2=0
Thanks,
You are a great help!
Click here to see answer by longjonsilver(2297)

Question 2153: How would you solve this quadratic equation 5x squared - 8x +3=0
Click here to see answer by longjonsilver(2297)

Question 2146: we are in need for some answers to these problems, find the value of the discriminant and determine the number of solutions for each equation.
1. 4x2+3x+1=0
2. x2+2x-6=0
3. x2-5x+1=0
4. x2-4x+4=0
Please solve and let me know as soon as possible
thanks
Click here to see answer by longjonsilver(2297)

Question 2167: What is the vertex and X-intercepts of the parabola -14x^2+36-30=0 , and how do you know?
Click here to see answer by matthew_sessoms(39)

Question 2174: if variable x is real then find the value of p such that equation 4x*x +px+1 is always positive.
Click here to see answer by longjonsilver(2297)

Question 2175: what's the best or easy way to work with quadratic ecuations?
Click here to see answer by longjonsilver(2297)

Question 2149: the supply function for a commodity is given by p2squared=q+5 and the demand is given by 4 p2squared + q =30 what is the market equilibrium?
Click here to see answer by longjonsilver(2297)

Question 2179: x^2-5x+6= x^2+13x+42= x^2-11x+30= x^2+10x+21= x^2-12x+32= x^2+14x+45= x^2-11x+18= x^2-8x-48= x^2-8x-33= x^2+11+10= x^2-x-56=
Click here to see answer by longjonsilver(2297)

Question 2145: Solve for x in the lowest possible terms. 5x^2-2=3x
Thanks a million...
Click here to see answer by matthew_sessoms(39)

Question 1515: I'm having a problem solving 7x^2 = 84 or 7xsquared =84 thank you
Click here to see answer by longjonsilver(2297)

Question 2144: Solve for x in the lowest possible terms. (2x+3)^2=4
Click here to see answer by matthew_sessoms(39)

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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