Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 407188: Solve
x^2+6x+9
Click here to see answer by lwsshak3(11628)

Question 407244: If 4x + 1 = 3x − 6, evaluate 5x − 6.
I just honestly do not understand how to work it. I have tried and tried and even used the help on my homework but I just don't understand how to work it. Please help me. I keep solving for x because that's all I know how to do.
Click here to see answer by nerdybill(7384)

Question 407300: graph the quadratic function f(x)=(x+3)^2+1
Click here to see answer by MathLover1(20849)

Question 407300: graph the quadratic function f(x)=(x+3)^2+1
Click here to see answer by graphmatics(170)

Question 406872: given that f(7)=-10 find the value of a in the eauation f(x)=a(x-4)^2+8
Click here to see answer by ewatrrr(24785)

Question 407298: Can someone please help solve for r?
r=__
r^2+3*r=8
Click here to see answer by jim_thompson5910(35256)

Question 407319: Solve for x. 2x squared plus 6x=3
Click here to see answer by jim_thompson5910(35256)

Question 407406: apply the quadratic formula to find the roots of the given function, and then graph the function. g(x) = x2 - x - 12
Click here to see answer by jim_thompson5910(35256)

Question 407409: What is the graph of y=2x^2+2 (y equals 2x squared plus 2)
Click here to see answer by ewatrrr(24785)

Question 407617: if a, b, and c in a quadratic equation are all integers, is the product always rational? explain
Click here to see answer by richard1234(7193)

Question 407641: Graph the function. y=2x^2+5x-7
Click here to see answer by stanbon(75887)

Question 407835: Solve 3x^2-7x-13=0
Click here to see answer by jim_thompson5910(35256)

Question 407890: Hi
Finding this difficult, new to this can someone please help
If z+2+j is one root of the equation z^4-2z^3-z^2+2z+10=0 find the other roots
Many Thanks
Karl
Click here to see answer by Alan3354(69443)

Question 407949: Glen cuts half a rectangular lawn, 40 m by 30 m, by mowing strips of equal width around the perimeter. Brad cuts the small rectangle left. How wide a strip does Glen cut so that they share the work equally?
Click here to see answer by ankor@dixie-net.com(22740)

Question 407957: Write a quadratic equation having the given number as solutions. -3 and -1
Click here to see answer by Alan3354(69443)

Question 407958: Write a quadratic equation in the variable X having the given numbers as solutions. Type the equation in standard form, ax2+bx+c = 0 Solution: 9, only solution
Click here to see answer by Alan3354(69443)

Question 407954: If a pro basketball player has a vertical leap of about 35 inches, what is his hang time? Use the hang-time function V=48 T(squared) His hang time is ______ seconds.
(simplify your answer. Type an integer or a decimal. Round to the nearest tenth.)
Click here to see answer by ankor@dixie-net.com(22740)

Question 407945: A 2cm wide frame is placed around a square photograph. If the total area of frame and photograph is 144cm2. Determine the dimensions of the photograph.
Click here to see answer by Alan3354(69443)

Question 407985: 2x(squared) + 42x + 441 = 2601
Click here to see answer by ankor@dixie-net.com(22740)

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(16946)

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(1539)

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(20849)

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(24785)

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(24785)

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(24785)

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(24785)

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(20849)

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(20849)

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(75887)

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(20849)

Question 408227:
Click here to see answer by MathLover1(20849)

Question 408227:
Click here to see answer by richard1234(7193)

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(7193)

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(20054)

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(24785)

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(7193)

Question 408793: Can you help me with this problem? 2(a-6)^2-45=53
Click here to see answer by jim_thompson5910(35256)

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(24785)

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(24713)

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(16322)

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(19441)

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(20849)

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(24785)

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(69443)

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, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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