Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 407955: The flower garden has the shape of a right triangle. 51 ft of a perennial border forms the hypotenuse of the triangle, and one leg is 21 ft longer than other leg. Find the lengths of the legs. What are the lengths of the legs?
Click here to see answer by mananth(12270)

Question 408120: Hi can someone help make sure im on the right tracks.
Complex Numbers
Simplify j^-2 and j^-5
Thanks
Click here to see answer by Tatiana_Stebko(1326)

Question 408083: i have 4 question and i need solutiions too please
1)x^2-1=0

2)x^2-7=0

3)3x^2-12=0

4)5x^2-15=0
Click here to see answer by MathLover1(6812)

Question 408207: Cant seem to get started on this one. Quadriatic in the unknown.
6/x^2+1/x-2=0 (Substitute u=1/x)
Click here to see answer by ewatrrr(10682)

Question 408215: Write the given expression in the form f(x)=a(x-h)^2+k. Identify the vertex
f(x)=1/3x^2+x+1
If you could, please show me step by step. Thanks!
Click here to see answer by ewatrrr(10682)

Question 408223: Write the given expression in the form f(x)=a(x-h)^2+k. Identify the vertex
f(x)=6+5x-10x^2
Click here to see answer by ewatrrr(10682)

Question 408222: use the vertex formula to find the vertex
find the intervals where f is increasing and where f is decreasing
f(x)=2x^2-4x+1
Click here to see answer by ewatrrr(10682)

Question 408222: use the vertex formula to find the vertex
find the intervals where f is increasing and where f is decreasing
f(x)=2x^2-4x+1
Click here to see answer by MathLover1(6812)

Question 408258: find vertex with vertex formula. find where f is increasing and decreasing
f(x)= -4/5^2 - 1/5x +1
Click here to see answer by MathLover1(6812)

Question 408278: I am having a lot of difficulty with this problem.
I hope the modified square root symbol is clear. The square root symbol is covering the 2x + 7.
Solve the equation:
_____
√2x + 7 - (x + 2) = 0
Click here to see answer by stanbon(57979)

Question 408261: hi i need help with quadratic equations and i need steps please
1)(x-6)(x-4)=0
2)(x+2)(x-2)=0
3)(x+6)(x+3)=0
4)(x-4)(x+7)+0
5)x(-7)=0
6)(x-5)(x-2)=0
7)(x-8)(x-6)=0
8)(x+4)(x-4)=0
9)x(x+5)=0
10)(x-1)(x-8=0
11)(x-2)(2x-1)=0
12)(3x-2)(x+3)=
13)(x+5)(4x-1)=0
14)(2x-1)(3x+1)=0
15)4x(2x-3)=0
i need steps to please
Click here to see answer by MathLover1(6812)

Question 408227:
Click here to see answer by MathLover1(6812)

Question 408227:
Click here to see answer by richard1234(5390)

Question 408299: Given one roots of x^2+px+8=0 is two times of the other. Find the roots and p.
Click here to see answer by richard1234(5390)

Question 408298: Calculate the smallest positive integer k for which the equation (kx+1)^2=8x has no real roots.
Click here to see answer by Edwin McCravy(8999)

Question 408534: if lynn can type a page in p minutes what piece of the page can she do in 5 minutes?

Click here to see answer by ewatrrr(10682)

Question 408696: Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour, and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. (x=1 is the day tickets go on sale).
T=-0.5x^2+12x+11
a. Does the graph of this equation open up or down? How did you determine this?

b. Describe what happens to the tickets sales as time passes?
c. Use the quadratic equation to determine the last day that tickets will be sold. (Note: Write your answer in terms of the number of days after ticket sales begin.)

d. Will tickets peak or be at a low during the middle of the sale? How do you know?

e. After how many days will the peak or low occur?

f. How many tickets will be sold on the day when the peak or low occurs?

g. What is the point of the vertex? How does this number relate to your answers in parts e and f?

h. How many solutions are there to the equation ? How do you know?

i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?

Click here to see answer by richard1234(5390)

Question 408793: Can you help me with this problem? 2(a-6)^2-45=53
Click here to see answer by jim_thompson5910(28717)

Question 408748: Complete the square:
3y^2+9y = -2
The (2) means squared - don't know how to type it.
Click here to see answer by ewatrrr(10682)

Question 408949: What does it mean when you need to find the "sum" of the solutions to an equation? the equation is 8x squared + 6x + 1.
Click here to see answer by solver91311(17077)

Question 409028: Use the quadratic formula to solve the equation. Simplify the solutions and write them in a + bi form. x2 + 4x + 8 = 0?

Click here to see answer by rfer(12730)

Question 409077: When mineral deposits formed a coating 1mm thick on the inside of a pipe the area through wich fluid can flow was reduced by 20%. Find the original inside diameter of the pipe.
(Remeber: area of circle = pi(r^2) and diameter = 2r)
Thanks for the help =)
Click here to see answer by josmiceli(9817)

Question 409132: Find an equation of the parabola that has a focus at (9,15) and a vertex at (9,8) in terms of y.
Click here to see answer by MathLover1(6812)

Question 409110: Find three consecutive odd integers such that the sum of the first and the square of the last is 236.
Click here to see answer by Adrish(44)

Question 409464: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions. 8x^2+7x+3=0?
Click here to see answer by ewatrrr(10682)

Question 410205: Quadratic formula:
3x^2-2x+6=9x+2
x^2+x+5=0
I am a little confused as to how I get the correct answer!
Click here to see answer by Alan3354(31534)

Question 410332: Could you please solve 4k^2=5k by Factoring?
Thanks!!!
Click here to see answer by Earlsdon(6294)

Question 410522: Minimizing Area) A 24in. piece of string is cut into two pieces. One piece is used to form a circle while the other is used to form a square. How should the string be cut so that the sum of the areas is a minimum?
Click here to see answer by Theo(3504)

Question 410547: i would like to know the vertex and the axis of symmetry and how to get both of these with work shown thanks.:
1/4(x+2)^2+6 and another equation: 2(x+2)(x+4)
Click here to see answer by ewatrrr(10682)

Question 410986: Use the quadratic formula to solve the following equation for x, show as much work as possible: 0 = 2x2 - 5x - 18.

Click here to see answer by jsmallt9(3296)

Question 411036: A rectangular area borders on a stream. A farmer has 400 feet of fencing and intends to use it to fence in the other three sides. Express the area in terms of one of its sides, x.
Click here to see answer by edjones(7569)

Question 411098: how many solutions are there to the equation:
-0.2x(squared) + 12x+11=0
Click here to see answer by josmiceli(9817)

Question 411096: suppose you have the quadratic equation of
tickets=-0.2x(squared)+ 12x+11 ; x=1 day ticket sales start.
does the graph of this equation open up or down? how do you know
Click here to see answer by josmiceli(9817)

Question 411107: I am struggling to fufil my teacher's task. She asked me to right out all the steps to slove the following problems using the quadratic formula. The problems are x^2+20x+100=64 , 4x^2+4x+1=16, 36x^2+12x+1=18, 9x^2-12x+4=4, and 25x^2 - 30x+9=96. I know this is alot. I am seriously struggling in Algebra 2 and I am in great need of a tutor.
Click here to see answer by edjones(7569)

Question 411127: Completing the square?
Can someone show me the steps to completing the square for this please?

- 1/5x^2 - 1/2x + 2 = 0
Click here to see answer by ewatrrr(10682)

Question 411127: Completing the square?
Can someone show me the steps to completing the square for this please?

- 1/5x^2 - 1/2x + 2 = 0
Click here to see answer by edjones(7569)

Question 410250: If a stone is tossed from the top of a 210 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2 – 10t + 210, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth’s place; include units in your answer
Click here to see answer by ewatrrr(10682)

Question 411133: Need help solving this, trying to figure out how to get rid of decimals to make quadratic equation easier to solve.
-0.3x^2 + 0.1x = -0.02
Click here to see answer by ewatrrr(10682)

Question 411199: Find the maximum or minimum value of the function.
f(x)= -x^2/3+2x+6 (it's -x^2 over 3 then +2x+6)

I thought that you have to use -b/2a and then f(x)=-b/2a

Click here to see answer by stanbon(57979)

Question 411228: s=16t^2+v*t+k gives the height of the ball at anytime t in seconds where v is the initial velocity speed in ft/sec and k is the initial height? i am soo confused
Click here to see answer by jjordan95(63)

Question 411341: Solve using the quadratic formula:
2x^2-11x-2=0
Click here to see answer by ewatrrr(10682)

Question 411341: Solve using the quadratic formula:
2x^2-11x-2=0
Click here to see answer by rfer(12730)

Question 411341: Solve using the quadratic formula:
2x^2-11x-2=0
Click here to see answer by shree840(260)

Question 411426: Solving this equation graphically
2.5x^2 = 4.75x - 2.1
Click here to see answer by rfer(12730)

Question 411469: graph the quadratic function f(x)=4(x+5)^2-1
Click here to see answer by stanbon(57979)

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