Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 289594: Hello, I'm unsure of how to do this problem.
3*( 7 + 6 ) + 3 * 5 / 3 * ( 2 + 1 )
Click here to see answer by rfer(16322)

Question 289720: Slove the quadric equation by completing the square. x^2 -5=8x
Click here to see answer by solver91311(24713)

Question 289720: Slove the quadric equation by completing the square. x^2 -5=8x
Click here to see answer by stanbon(75887)

Question 289768: complete the square and find the two solutions. Simplfy the solutions and rationalize the denominators. x^2-3x-10=0
Click here to see answer by richwmiller(17219)

Question 289775: Please help with this problem with how to do it showing work and answer

A property manager owns a 10-unit apartment building. The property manager has found that for every $50 increase, one unit will be left empty. Currently, all 10 apartments are rented for $900 per month. How many $50 increases will get the property manager the most monthly income?
This was a problem given by a student she wasnt sure if she created it correctly whichever I have no clue how to solve or how to get to the answer please help
John

Click here to see answer by richwmiller(17219)

Question 289785: Use the qadratic formula to find the solutions to the equation. -x^2-x=7
Click here to see answer by j1mmy94(14)

Question 289772: Hello can anyone help solve this problem with work shown and answers it will help me learn how to do these problems for my upcoming test.

Sean's Widget Company has revenue that is modeled by the function R(x) = -4x2 + 35x and costs modeled by the function C(x) = 12x +30. The input variable x is in hundreds of widgets, and the outputs of the functions are in units of thousands of dollars. Construct a profit function P(x) and find the value of x that maximizes the profit.

Thank you John
Click here to see answer by ankor@dixie-net.com(22740)

Question 289860: One roots of the equation x^3 - 2x^2 � 13x - 10 = 0 is 5. What is the sum of its other roots?
(a)-2 (b) -3 (c) 2 (d) 1 (e) None of these

Click here to see answer by stanbon(75887)

Question 289766: Use the discriminant to determine the number of solutions of the quadratic equation solve this equation using the quadratic formula. -3y^2-3y=-2
Click here to see answer by Fombitz(32388)

Question 289878: Factor 12x^2-16x-60
I got to this point- 4(3x^2-4x-15)
The teacher wants us to now take it a form of 4( )( ) and i am not sure what to do next.
Click here to see answer by richwmiller(17219)

Question 289877: what is the correct substitution in the quadratic formula for the solution of the following equation? 8x^2 + 3a^2 = 10ax
Click here to see answer by richwmiller(17219)

Question 289806: The value of a share can be represented by V(x) = x2 � 28x + 13, where x is the number of months after January 2004. What is the lowest value V(x) will reach, and when did that occur? (5 points)
Click here to see answer by Fombitz(32388)

Question 289894: I am having difficulty figuring this problem out. Could you please help me? :)
16x^4-41x^2+25=0
Click here to see answer by richwmiller(17219)

Question 289946: can you determine d, if given the quadratic formula d=-5t2+10t+5 ? and you have no other information?
Click here to see answer by richwmiller(17219)

Question 290002: 1 Graph
2. Identify the vertex.
3. Is the vertex a maximum or a minimum?
4. Compare this graph to the graph of y = �x^2

5. Order the quadratic functions y = -4x^2, y = 1/4 x2, and y = 2x^2 fromwidest to narrowest graph.
Click here to see answer by Fombitz(32388)

Question 290064: How do you graph these:
y=-3x^2+6x+2

Click here to see answer by richwmiller(17219)

Question 290074: my question is after you find the square root of the number what do u do after that?
Click here to see answer by richwmiller(17219)

Question 290118: how do I factor
(p+q)squared-2(p+q)-15
thank you!
Click here to see answer by richwmiller(17219)

Question 290144: what is the solution set of the equation 3x^2=48?
Click here to see answer by richwmiller(17219)

Question 290031: m^2+11/3m=-2
Click here to see answer by jsmallt9(3758)

Question 290119: Solve by using the quadratic formula.
The solution set is { , } or is solution set 0?

Click here to see answer by Deina(147)

Question 290255: Dear tutor, I am in Iraq about to fail my math class. Can you please assist with these problems?
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).
tickets = -0.2^2 + 12x + 11
In this equation, does the graph of the equation open up or down?
Describe what happens to the tickets sales as time passes?
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.
After how many days will the peak or low occur?

Click here to see answer by richwmiller(17219)

Question 290274: Please disregard my previous problem I wrote it wrong.
Use the Quadratic Formula to solve.
0.5x^2=x+0.5
Click here to see answer by jim_thompson5910(35256)

Question 290274: Please disregard my previous problem I wrote it wrong.
Use the Quadratic Formula to solve.
0.5x^2=x+0.5
Click here to see answer by Earlsdon(6294)

Question 289684: I do not understand how to figure the solution to the equation:
x^2 + x + sqrt x^2 +x -2 = 0. I was hoping you would be able to help me understand this a little more.
Click here to see answer by richwmiller(17219)

Question 290291: Can someone help me finish this? I am in Iraq fighting with this crappy internet bout to fail pleeeeeease help!!! Just need the last four answers. THANKS!!
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. ( is the day tickets go on sale).

a. Does the graph of this equation open up or down? How did you determine this?
It opens down because the x^2 term is a negative.
b. Describe what happens to the tickets sales as time passes.
Over time the sales rise, peak then begin to fall.
c. Use the quadratic equation to determine the last day that tickets will be sold.
The last day of ticket sales will be on the 60.9th(61ST)day after going on sale
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?
The ticket sales will peak during the middle of the sale.
e. After how many days will the peak or low occur?
The peak occurs on the 30th day of sales.

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 richwmiller(17219)

Question 290301: 3x^2 � 6x � 24 = 0
Click here to see answer by jim_thompson5910(35256)

Question 290410: i am having trouble finding the x and y intercepts of f(x)=-2^2+3x+10
Click here to see answer by richwmiller(17219)

Question 290323: Sue rowed her boat across and back lake bend in 3 hours. if her returning rate was 2mph less than the going rate, and if the distance each way was 7 miles find her rate going.
would it be 7 over x plus 7 over x-2=3?
I have to solve it using the quadratic formula. Thanks
Click here to see answer by ankor@dixie-net.com(22740)

Question 290478: 10xsquare + 19x - 15 = 0
Click here to see answer by richwmiller(17219)

Question 290433: An employees new salary is $28,140 after getting a 5% raise. What was salary before increase in pay
Click here to see answer by nerdybill(7384)

Question 290493: amy paid $68.21 for a pair of running shoes during a 15% off sale, what was the reg price?
Click here to see answer by nerdybill(7384)

Question 290508: Slove using the addition and multiplication principles. 10-6y-4y<80
Click here to see answer by richwmiller(17219)

Question 290278: How would I solve this function to find the vertex, and x and y intercepts.
g(x)=-2x^2-16x+1
Thank you, Cynthia :)
Click here to see answer by richwmiller(17219)

Question 290543: A car leaves town and drives south east at 30 miles per hour. A second car leaves the same point at the same time and drives north east. After four hours they are 200 miles apart. How fast was the second car driving?
Click here to see answer by richwmiller(17219)

Question 290521: x^2-x=-5

Click here to see answer by checkley77(12844)

Question 290627: Find the vertex of the parabola:
y=-x�+8x+16
Click here to see answer by user_dude2008(1862)

Question 290628: Find the vertex of the parabola:
y=-x�+1/2x+2
Click here to see answer by user_dude2008(1862)

Question 290671: The cost of a trip is RM600. The cost for each member would be RM5 less if 10 non members were allowed to join. If the cost was shared equally among the students, find the number of members going for the trip
Click here to see answer by mananth(16946)

Question 290815: the instructions state: Solve the Quatractic equation by factoring and using the Zero-Product Property.
the problem is: 3y^2-11y=10
here is what i've done so far:
i subtracted 10 from the right side so it will equal 0 then i added it to the binomial on the left.
i got 3y^2-11y+10=0
next, i would have to factor the trinomial. i got this far:
(3y^2-y)(-10y+10)
this is where i got stuck because i cant factor it correctly in order to use the Zero-Product Property.
Thank you for your help
Click here to see answer by richwmiller(17219)

Question 290811: solve 32-18m2(square)=0
Click here to see answer by checkley77(12844)

Question 290866: determine the nature of the roots of the quadratic equation if the discriminant is 31
Click here to see answer by stanbon(75887)

Question 290877: find an equation for the parabola with vertex (-2,5) and y-intercept 1
Click here to see answer by stanbon(75887)

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