Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 33002: How do I solve this? It is really confusing!!!!
Click here to see answer by xcentaur(357) About Me 

Question 33276: the equation 4x(squared)-x=0 has two solutions. whats the other?
Click here to see answer by Earlsdon(6294) About Me 

Question 33279: the equation x(squared)-2x=0 has two solutions. whats the other?
Click here to see answer by sarah_adam(201) About Me 

Question 33280: the equation 14y-y(squared)=0 has two solutions. whats the other?
Click here to see answer by sarah_adam(201) About Me 

Question 33281: the equation x(squared)-x=0 has two solutions. whats the other?
Click here to see answer by sarah_adam(201) About Me 

Question 33278: the equation y(squared)-12y=0 has two solutions. whats the other?
Click here to see answer by sarah_adam(201) About Me 

Question 33277: the equation -12x(squared)+24x=0 has two solutions. what is the other?

Click here to see answer by sarah_adam(201) About Me 

Question 33287: the equation 2x(squared)-6x=0 has two solutions. whats the other?
Click here to see answer by sarah_adam(201) About Me 

Question 33289: the equation 3x(squared)+9x=0 has two solutions. whats the other?
Click here to see answer by sarah_adam(201) About Me 

Question 33288: the equation x(squared)=x=0 has two solutions. whats the other?
Click here to see answer by Fermat(136) About Me 

Question 33285: the equation -3x(squared)-6x=0 has two solutions. whats the other?

Click here to see answer by mukhopadhyay(490) About Me 

Question 33275: the equation x(squared)+5x=0 has two solutions. whats the other?
Click here to see answer by priya(51) About Me 

Question 33283: the equation 1/2x(squared)+4x=0 has two solutions. whats the other?
Click here to see answer by priya(51) About Me 

Question 33311: I am stuck on the following quadratic equation:
2x^2-3x-1=0
I move the 1 over like this:
2x^2-3x=1
and that's where I get stuck: how do you create a third term to the left side of the equation like that will later generate -3x? Do you take square half the value of the second term? (-3x / 2)^2, which results in 9/4x?
Thanks so much for your help.

Click here to see answer by stanbon(75887) About Me 

Question 33304: I'm having difficulty solving the following quadratic equation:
(a-2 / a+2) - (a+2 / a-1) = (a^2-32 / a^2+a-2)
By finding the common denominator, I was able to reduce this equation down to:
a^2+7a=30
But at this point I am stuck. How do you proceed to get to the two values for a? I know you have to add something to both sides, and isn't it supposed to be half of the middle term squared? (7/2)^2 ? The book just provides the two final solutions for a without telling you how it got them.
Thanks for your help!

Click here to see answer by checkley71(8403) About Me 

Question 33424:
how do i solve b squared +3b-4=0 using the box method?

Click here to see answer by stanbon(75887) About Me 

Question 33491: Solve using the square root property:
5x^2=100
5(2*51/2)
Is this correct?

Click here to see answer by stanbon(75887) About Me 

Question 33502: x^4 - 3x^2 + 2 = 0
Click here to see answer by stanbon(75887) About Me 

Question 33503: x^3 - 3x^2 + 3x - 9 = 0
Click here to see answer by stanbon(75887) About Me 

Question 33507: 3x^4 = 48x^2
Click here to see answer by mukhopadhyay(490) About Me 

Question 33506: 2/x = 3/(x-2) - 1
Click here to see answer by mukhopadhyay(490) About Me 

Question 33504: sqrt(2x-5) - sqrt(x-3) = 1
Click here to see answer by mukhopadhyay(490) About Me 

Question 33501: 3x^4 = 48x^2
Click here to see answer by mukhopadhyay(490) About Me 

Question 33519: Quadrilateral- find the value of x. I have tried and tried to work this out and when I plug in my answer it doesnt figure. Please help I would appreciate it.
(x+30)+(x-55)+(x-45)+ x=360 Thank you so very much!!

Click here to see answer by Cintchr(481) About Me 

Question 33505: D= -200p + 35,000
The supply equation is predicted to be
S= -p^2 + 400p - 20,000
Find the equilibrium price.

Click here to see answer by mbarugel(146) About Me 

Question 33562: 12 = 2x squared + 5x
i tried to do a function box but i couldnt figure it out imissed that day of school but my teacher said to figure it out.

Click here to see answer by priya(51) About Me 

Question 33584: check my work please:
4x^2+8x=0
4x(x+2)=0
4x=0 or (x+2)=0
4x=0 or x=-2

Click here to see answer by priya(51) About Me 

Question 33583: Use the square root property to solve the equation, show steps and explain
x^2=36
(x^2-36)=0 Factor out the left-side
(x-6) (x+6)=0 (? lost after this point)
(x-6)=0 or (x+6)=0
Thank you

Click here to see answer by priya(51) About Me 

Question 33580: 6y squared + 12y +13 = 2y squared + 4
Click here to see answer by priya(51) About Me 

Question 33585: Please check my work, am I doing this correctly?
Solve using the square root property:
x+8)^2=81
Þ ((x+8)2-81) = 0
Þ (x2+16x-17) = 0
Þ (x2-x+17x-17) = 0
Þ x(x-1)+17(x-1) = 0
Þ (x+17)(x-1) = 0
Þ (x+17) = 0 OR (x-1) = 0
Þ x = -17 OR x = 1

Click here to see answer by priya(51) About Me 

Question 33582: Use the square root property to solve the equation, show steps and explain
x^2=36
(x^2-36)=0 Factor out the left-side
(x-6) (x+6)=0 (? lost after this point)
(x-6)=0 or (x+6)=0
Thank you

Click here to see answer by checkley71(8403) About Me 

Question 33632: Solve by completing the square:
x^2+8x+13=0

Click here to see answer by Earlsdon(6294) About Me 

Question 33634: Please check my work
Solve using the quadratic equation:
(3x^2-2x) + (-15x+10)=0
(3x^2 - 17x +10)= 0
(3x^2 -2x -15x +10)=0
x(3x-2) + (-5) (3x-2)=0
(x-5)(3x-2)=0
(x-5)=0 or (3x-2)=0
x=5 or 3x=2
x=5 or x=2/3

Click here to see answer by sarah_adam(201) About Me 

Question 33635: x^2-3x -23=5
(x^2-3x -23-5)=0
(x^2-3x-23-5)=0
(x^2-3x-28)=0
x^2 +4x -7x-28)=0
x(x+4)+ (-7) (x+4)=0
(x-7 (x+4)=0
(x-7)=0 or (x+4)=0
x=7 or x=-4

Click here to see answer by sarah_adam(201) About Me 

Question 33247: A toy rocket is launched from a point 60m from a school building. The school building is 40m wide. On the other side of the building is a 15m wide parking lot and next to it is a pond that is 10m wide. The rocket is aimed over the building to land in the center of the pond, 120m away. The building is 30m tall. The rocket's trajectory should be as low as possible and the rocket should clear the building by at least 5m. What is the equation for the parabola formed by the trajectory. Graph the parabola.
Click here to see answer by Fermat(136) About Me 

Question 31497: Which of the below option's are right?
If a+b+c=0,then 3a*x*x+2b*x+c=0 has
A.atleast one root in [-1,0]
B.atleast one root in [0,1]
C.atleast one root in [-1,1]
D.atleast one root in [0,2]

Click here to see answer by venugopalramana(3286) About Me 

Question 33681: A retailer spent $48 to purchase a number of special mugs. Two of them were broken i the store, but by selling each of the remaining mugs for $3 above the original cost per mug, she made a total profit of $22. Construct an equation that will allow us solve for the number of mugs, denoted by n, that were originally purchased. If the price for n mugs is $48, how can we express the cost per mug?
Click here to see answer by Paul(988) About Me 

Question 33685: I don't know how to solve x(to the fourth) minus (five x squared) plus four.
In school we did something called a diamond formula or something with a diamond and it makes everything easier but i don't understand. Can you explain to me how to solve this by the diamond formula. Thank you.

Click here to see answer by Earlsdon(6294) About Me 

Question 33680: The height of a triangle is 2 millimeters less than the base. If the area is 60 square millimeters, find the base.
Click here to see answer by Earlsdon(6294) About Me 

Question 33706: If we apply the quadratic formula and find that the value of b2 - 4ac equals zero, what can we conclude about the solutions?

A) The equation has no real number solutions.
B) The equation has exactly one irrational solution.
C) The equation has two different rational solutions
D) The equation has exactly one rational solution.

Click here to see answer by ntnk(54) About Me 
Question 33706: If we apply the quadratic formula and find that the value of b2 - 4ac equals zero, what can we conclude about the solutions?

A) The equation has no real number solutions.
B) The equation has exactly one irrational solution.
C) The equation has two different rational solutions
D) The equation has exactly one rational solution.

Click here to see answer by Nate(3500) About Me 
Question 33706: If we apply the quadratic formula and find that the value of b2 - 4ac equals zero, what can we conclude about the solutions?

A) The equation has no real number solutions.
B) The equation has exactly one irrational solution.
C) The equation has two different rational solutions
D) The equation has exactly one rational solution.

Click here to see answer by ice_water35(8) About Me 

Question 33709: 6) If we apply the quadratic formula and find that the value of b^2 - 4ac equals zero, what can we conclude about the solutions?

A) The equation has no real number solutions.
B) The equation has exactly one irrational solution.
C) The equation has two different rational solutions
D) The equation has exactly one rational solution.

Click here to see answer by venugopalramana(3286) About Me 

Question 33778: Write an equation in the form y=ax^2 + bx + c for the quadratic function whose graph passes through the points (8,0) (0,8) (-2,0). Thanks
Click here to see answer by venugopalramana(3286) About Me 

Question 33875: use the discriminant to determine whether(((x^2-6x=-15)))has one real solution, two real number solutions or two complex number solutions
Click here to see answer by ichudov(507) About Me 

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, 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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, 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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