Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 347349: What is the Minimum or Maximum Value?
f(x) = ax2 - bx + c
a = 9
b = 3
c = 1

Click here to see answer by scott8148(6628) About Me 

Question 347788: Solve the quadratic equation:
-2x^2 + 14x + 16

Click here to see answer by unlockmath(1688) About Me 

Question 347910: find all solutions of the equation xto the 4th power-16x to the 2nd power=0
Click here to see answer by ewatrrr(24785) About Me 

Question 347920: Find the area of a square with sides of length 2x + 5 in terms of x.
Click here to see answer by ovie27(16) About Me 

Question 348067: Use numbers 0-9 to make a true equation.__ + __ + __ + __ + __ + __ + __ + __ = __ __
Click here to see answer by Edwin McCravy(20054) About Me 

Question 348118: A little girl throws a Frisbee. It is 3 feet above the ground at the time she lets go. The Frisbee follows a parabolic path and after 5 seconds it is 6 feet above the ground. After 10 seconds it is again six feet above the ground.
a. Write the particular equation of the quadratic
b. How high is the frisbee after 3 seconds?
c. How high is the frisbee after 12 seconds?

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

Question 348121: A plasma TV company determines that its total profit on the production and sale of x TVs is given by: P (x) = -sqrt 2 +812 - 9600
Click here to see answer by stanbon(75887) About Me 

Question 348144: What are the dimensions of a rectangular box that has w=x h=x and length=x+1? I have given up! I came up with answers that did not match, and then tried to put answers into the quadratic formula, and still nothing. Your help would be much appreciated. Thank you.
Click here to see answer by stanbon(75887) About Me 

Question 348165: 60=16x+4.9x^2
solve for x

Click here to see answer by ewatrrr(24785) About Me 

Question 348179: Solving a quadratic equation with the Indian method:
Solve x^2+3x-10=0
x^2+3x=10
Next step is to multiply each term by four times the original coefficient of the x^2 term
4x^2+12x=40
Next square the original coefficient of x and add it to both sides of the equation:
4x^2+12x+9=40+9
4x^2+12x+9=49
Next is to take the square root of both sides, this is where I'm confused by my textbook:

I know that the square root of 4x^2 = 2x but the square root of 12x is not going to be a 'clean' number and the square root of 9 and 49 are 3 and 7... the textbook says that 4x^2+12x+9=49 taken to the square root is
2x + 3= +-7
Where did the 12x go?

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

Question 348389: Find the zeros of the given function using the quadratic formula.
y = 8x^4-24x^2+4

Click here to see answer by Alan3354(69443) About Me 

Question 348454: please help me to solve this problem. "Find two real numbers whose sum is 18 and whose product is a minimum." tnx
Click here to see answer by Fombitz(32388) About Me 

Question 347529: Solve by completing the square
x^2-6x-3=0

Click here to see answer by nyc_function(2741) About Me 

Question 348702: Put y=-16t+164t+100 in vertex form
Click here to see answer by stanbon(75887) About Me 

Question 348701: given that the roots of the quadratic aquation ax^+bx+c are beta and nbeta show that (n+1)^ac=nb^
Click here to see answer by solver91311(24713) About Me 

Question 348222: A plasma TV company determines that its total profit on the production and sale of x TVs is given by: P (x) = -x2 + 812x - 9600 Will the graph of this function open up or down? How can you tell by looking at the equation?
Click here to see answer by jsmallt9(3758) About Me 

Question 349030: (2t-1)(5t-1)=13
Click here to see answer by haileytucki(390) About Me 

Question 349040: Solve this equation: x/x+1 + 2/x=1
Click here to see answer by haileytucki(390) About Me 

Question 349043: Solve this quadratic equation, with ckecking: x/x+1 + 2/x=1
Click here to see answer by haileytucki(390) About Me 

Question 349059: i need to solve this quadratic equation with checking: (x)/(x+1)+(2)/(x)=(1) Thanks!
Click here to see answer by mananth(16946) About Me 

Question 349069: (x+3)(x-1)=5
Click here to see answer by Fombitz(32388) About Me 

Question 349173: 4/9y^2 + 1 = 0 solve equation
Click here to see answer by Fombitz(32388) About Me 

Question 349143: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x)=8-x^2
Click here to see answer by Fombitz(32388) About Me 

Question 349210: 1=7/x-4-10/(x-4)^2
Use integers or fractions for any number in the expression. Use a comma to seperate the answers as needed. Type an exact answer, using radicals as needed. Express complex numbers in terms of i.)

Click here to see answer by Fombitz(32388) About Me 

Question 348125: given the equation x^2 +kx +2=0 find all possible values of k for one real solution, 2 real solutions, and no real solutions
Click here to see answer by jsmallt9(3758) About Me 

Question 349209: 1-2/4t-1=8/(4t-1)^2
It says to type the answer as an integer or simplified fraction

Click here to see answer by jsmallt9(3758) About Me 

Question 349477: Solve the following equation using the quadratic formula:
13-6x+x^2=0

Click here to see answer by Alan3354(69443) About Me 

Question 349474: Solve the following equation using the quadratic formula:
-x^2-4x-2=2

Click here to see answer by Alan3354(69443) About Me 

Question 349557: the members of the student catholic action decided to raise Php 4 000 to help the local charity clinic. The amount to be raised was divided equally among the members. Due to an increase of 20 members, the amount to be raised by each member went down by Php 10. How many members were originally in the club? (show your solution involving quadratic equation)
Click here to see answer by Theo(13342) About Me 

Question 349560: The area of a rectangular banner should be 6.75m^2. If the length is to be thrice the width, what are its dimensions? (Show your solution)
Click here to see answer by mananth(16946) About Me 

Question 349571: i dont understand how to solve quadratic equations by completing the square root.
im in algebra ags chapter 13
problem: ((( 2s^2+5s=3 )))

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

Question 349482: I need to find the missing numbers. Then simplify
-3 (2 - 9) = ( )2 - ( )9

Click here to see answer by Fombitz(32388) About Me 

Question 349580: 1/4(4x-2=-9/2-3/2
Click here to see answer by Fombitz(32388) About Me 

Question 349615: -1x2 + 11x + 30 = 0
Click here to see answer by Fombitz(32388) About Me 

Question 349709: Find all the real zeros of p? P(x) = x^5-x^4-6x^3 + 14x^2-11x + 3
Click here to see answer by nyc_function(2741) About Me 

Question 349820: Find the zeros of Q(x) = 10x – x2 + 5 using the quadratic formula. (Enter your answers from smallest to largest.)
Click here to see answer by Alan3354(69443) About Me 

Question 349819: Find the zeros of Q(x) = 10x – x2 + 5 using the quadratic formula. (Enter your answers from smallest to largest.)
Click here to see answer by Alan3354(69443) About Me 

Question 349912: 2w  8
w + 3

Click here to see answer by JBarnum(2146) About Me 

Question 350118: Solve s^2+4s-12=0 find solution or solutions
Click here to see answer by mananth(16946) About Me 

Question 350122: subtract (simplify by collecting like radical terms as needed ) 8√8-3√2
Click here to see answer by mananth(16946) About Me 

Question 350124: factor completley t^3-6t^2-27t or determine if not able to be factored.
Click here to see answer by Fombitz(32388) About Me 

Question 350123: i started this question however am unsure if it is correct question: √((a+4)²)
since we are looking for the square root of (a+4)^2 i would think that the answer is just a+4 because squaring it would be a^2+4^2 and the square root of that would be a+4

Click here to see answer by Fombitz(32388) About Me 

Question 350127: (h^4)/(h^16) divide and simplify I divided the 16th exponent by 4 getting four so would the answer b H^4?
Click here to see answer by Fombitz(32388) 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, 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