Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 201889: Dear tutor,Could you help me to solving this equation please?I do not have any idea to solve it!

Click here to see answer by checkley77(12844)

Question 201889: Dear tutor,Could you help me to solving this equation please?I do not have any idea to solve it!

Click here to see answer by jim_thompson5910(35256)

Question 201939: Hi Please help me answer this hard word problem.
An Airplane whose speed in still air is 530mi/h carries enough fuel for 10 hours of flight. On a certain flight it flies against a wind of 30 mi/h. On the return flight it travels with a wind of 30 mi/h. How far can the plane fly without refueling?
Thank you Very much,
Leo
Click here to see answer by scott8148(6628)

Question 201970: Can anyone help me with any of these?
1) Ed bought $2,000 in stock shares one week before the stock price dropped $10.00. If he had waited for the price setback, he could have bought 10 more shares for the same amount. How much did each share actually cost, and how many shares did he buy?
Number of shares purchased:___
Price per share:$_____
2) The square of Mark's age 3 years ago is 6 times the age he will be in 9 years. What is his age now?
___ years old.
3) One leg of a right triangle is 96 inches. Find the hypotenuse and the other leg if the length of the hypotenuse exceeds 2 times the other leg by 4 inches.
Hypotenuse = ___ inches
leg = ___ inches

Click here to see answer by rfer(16322)

Question 201981: Find the sum of the x solutions for x^2-x=12. thank-you.
Click here to see answer by jim_thompson5910(35256)

Question 201982: solve for x: (x+3)^2=5. thanks for your help.
Click here to see answer by jim_thompson5910(35256)

Question 201983: Solve for x: (x+3)^2=5. thanks for your help.
Click here to see answer by jim_thompson5910(35256)

Question 201986: Hiiii,, Could you please help me about this?!I solved it but the answers was undefined!!!!Also could you tell me what is the discriminant?Thanksss
By examination of the discriminant, determine the nature of the roots for the following equation:

Click here to see answer by vleith(2983)

Question 202023: I need help about this one as well!
If a, b, and c are three consecutive integers, find the integers if in
Click here to see answer by Alan3354(69443)

Question 202021: Could you help me about this?
For what value of K will the equation (2-k).x^2+(1-k).2x+(k-1) be a perfect square?
Click here to see answer by Theo(13342)

Question 202022: Could somebody guide me about this which is about the relation between the roots and the coefficients?
For what values of m will the equation have
a) one root the reciprocal of the other,
b) one root equal zero
c) equal roots

Click here to see answer by Edwin McCravy(20054)

Question 202085: please help me solve the following problem f(x)= x^2-4x+3
Click here to see answer by jim_thompson5910(35256)

Question 202089: Can anyone help me with ANY of these? I don't understand how the roots come into play. The title of this section is Sum and Product of Roots.
Question#1
x2 + 6x -55 = 0 and root1 = 5, root2 = -11
a = __ b = __ c = __

Question #2

x2 + 6x -55 = 0 and root1 = 5, root2 = -11
(-b/a)= -__ / __

Question #3
x2 + 6x -55 = 0 and root1 = 5, root2 = -11
root1 + root2 = 5 + -11 = ___

Question #4

x2 + 6x -55 = 0 and root1 = 5, root2 = -11
The sum of the roots is the same as (Hint: use letters)
= -__ /__

Question #5
x2 + 6x -55 = 0 and root1 = 5, root2 = -11
(c/a) = __ /__
Question #6
x2 + 6x -55 = 0 and root1 = 5, root2 = -11
root1 x root2 = 5 x (-11) = ___
Question #7
x2 + 6x -55 = 0 and root1 = 5, root2 = -11
The product of the roots is the same as (Hint: use letters)
= - ___ /___
Question #8
8x2 - 2x = 1 and root1= 1/2 root2= -1/4
Identify a, b, and c. (Hint: you may have to arrange the equation in the form ax2+ bx + c = 0 .)
a =___ b = ___ c = ___
Question #9
8x2 - 2x = 1 and root1= 1/2 root2= -1/4
(-b/a)= -___ /___
Question #10
8x2 - 2x = 1 and root1= 1/2 root2= -1/4
root1 + root2 =(1/2)+(-1/4)= ___
Question #11

8x2 - 2x = 1 and root1= 1/2 root2= -1/4
The sum of the roots is the same as (Hint: use letters)
= ____

Question #12
8x2 - 2x = 1 and root1= 1/2 root2= -1/4
(c/a)= ____ /___
Question #13
8x2 - 2x = 1 and root1= 1/2 root2= -1/4
root1 x root2 = (1/2)(-1/4) = ___

Question #14
8x2 - 2x = 1 and root1= 1/2 root2= -1/4
The product of the roots is the same as (Hint: use letters)
= ___ /___

Click here to see answer by stanbon(75887)

Question 202134: Hello,
I need some help on quadratic equations. Any and all help will be appreciated.
1. Solve using the quadratic formula: x^2 - 3x = 4x -1
2. Solve using the quadratic formula: x^2 -5x - 1 = -7
3. Solve by completing the square: x^2 + 8x + 2 = 0
Thank you in advance for your help.

Click here to see answer by Theo(13342)

Question 202158: Solve using the quadratic formula: 15x^2+7x=2
Click here to see answer by Earlsdon(6294)

Question 202167: Business club members at USIU decide to chatter a bus at a cost of $900 for a trip to the Kenya National Archives.At the last minute, five people decide not to go.This raises the transport cost per person by $2.How many people originally intended to take the trip?
Let the original number of group be x
Number of final group be x-5
Charge per person originally $900/x
Charge per person finally $900/x-5
charge per person orignally - $2 = Charge per person finally
900/x - 2x(x-5) = 900/x-5
900(x-5)- 2xx + 10x =900x
900x - 4500 - 2xx + 10x = 900x
2xx + 10x - 4500 = 0

Click here to see answer by vleith(2983)

Question 202138: Find the vertex of f(x)-x^2-10x+21. Is the vertex the maximum or minimum of f? How do you know?
Click here to see answer by vleith(2983)

Question 202156: Solve by completing the square: x^2+6x-5=0
Click here to see answer by vleith(2983)

Question 202173: Sorry about the earlier typo: The question was written as f(x)= x^2-10x+21
Click here to see answer by RAY100(1637)

Question 202157: Solve 2x^-2-x^-1-1=0
Click here to see answer by RAY100(1637)

Question 202264: Find the vertex of the quadratic function f(x) = -(x-2)^2+3. Does this function have a maximum or a minimum? How do you know?
Click here to see answer by RAY100(1637)

Question 202262: Find the vertex of f(x) = x^2-10x+21. Is the vertex the maximum or minimum value of f? How do you know?
Click here to see answer by Earlsdon(6294)

Question 202263: Determine what type of number the solutions to the equation 4x^2+7x=0 are, and how many (distinct) solutions exist.
Click here to see answer by checkley77(12844)

Question 202334: Find the inverse of quadratic function, graph function and its inverse in the same coordinate plane.
y=x^2-2x+1
How do I find the answer?
Click here to see answer by stanbon(75887)

Question 202413: Solve the formula N=k^2-3k / 2, for k
Click here to see answer by jsmallt9(3758)

Question 202438: x^2 = 16

y^2 + 8y = 0
Click here to see answer by stanbon(75887)

Question 202447: 4. x^2 + 3x = 28

5.2x^2 + 9x - 5 = 0

Click here to see answer by stanbon(75887)

Question 202532: The area of a square meters for a trianglar sail is given by A(x) = x^+5x+6
a) Find A(5)
b) If the height of the sail is x+3 meters, then what is the length of the base of the sail?
I was able to factor out the equation which is (x+3) (X+2). I'm not sure how to answer a + b. Can you help me out by providing an example that I can follow?
Click here to see answer by Earlsdon(6294)

Question 202584: how to solve this using synthetic division
(-X + 75X -250)�( X + 10)
Click here to see answer by solver91311(24713)

Question 202597: x^2-6x+10=0
Click here to see answer by jim_thompson5910(35256)

Question 202736: I'm trying to determine a quadratic equation that exhibits such:
The equation I am working with is the expected number of ticket sales for each day where x=1.
Tickets = -0.2x2 + 12x + 11
I need to find a 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.)
I have tried: -0.2x2 + 12x + 11 = t (representing number of tickets)
Should I find t first and then substitute t to find x (number of days)? Or should I have the equation equal 0? (-0.2x2 + 12x + 11) = 0
I would really appreciate your help with this problem.
Thank you

Click here to see answer by stanbon(75887)

Question 202131: IF X AND P ARE ZEROES OF THE POLYNOMIAL,
F(x)=x2_P(x+1)-c
THEN FIND OUT (x+1)(P+1)..

sir i have asked this question but there was no reply pls sir i need ur help to solve this question i'll be thankful

Click here to see answer by jsmallt9(3758)

Question 203051: I don't understand these Please help Thanks,
Solve by completing the square
1. x^2 - 6x = 16
I get (6/2)^2 = 9/4 = (x-9/4)^2 then I am lost.
2. 2x^2 - 3x + 1 = 0 I get as far as
2^2 - 3x =1
x^2 3/2 = 1/2
x^2 9/4 = 1/2 Now I am lost
3. x^2 - x - 1 = 0 Is this just {1,-1}

Click here to see answer by KY(1)

Question 203052: Use the guadratic formula to solve the following. Leave irrational roots in the simplest radical form. Totaly confused please help. Thanks
3x^2 - 4x - 5 = 0
2x^2 - 3x + 1 = 0
Click here to see answer by Earlsdon(6294)

Question 203074: Find the maximum or minimum value of the function.
f(x) = 2x^2 + 3x + 1
Can you please show me how to figure this problem out? I would greatly appreciate it. Thank you very much for you time and your help.
Brenda
Click here to see answer by jsmallt9(3758)

Question 203098: 3 girls, Laura, Tammy, and Jeri can wash the car, clean the pool, and mow the lawn in 1 hour and 20 minutes. If Jeri did all the work, she would take twice as long as Tammy and 2 hours longer than Laura. How long would each girl take to do the job alone?
Click here to see answer by ankor@dixie-net.com(22740)

Question 203135: Without drawing the graph determine how many x- intercepts the parabola has and whether its vertex lies above or below or on the x axis Show your worky
y = -x^2 + 2x - 1
Click here to see answer by jsmallt9(3758)

Question 203134: Without drawing the graph determine how many x- intercepts the parabola has and whether its vertex lies above or below or on the x axis Show your work
y = x^2 - 5x + 6
Click here to see answer by jsmallt9(3758)

Question 203129: The length of a rectangle is 1 m less than twice the width. The area of the rectangle is 120 square meters. Find the length and width.
Click here to see answer by jojo14344(1513)

Question 203132: I am confused if anyone could help It would be appreciated.I don't understand how to finish the problem
Solve by completing the square.
2x^2 - 3x + 1 = 0
This is what I have so far
a=2 b=3 c=1
2x^2 - 3x + 1 = 0
x^2 - 3/2 x 1/2
x^2 - 3/2x + 3/4
now I am lost

Click here to see answer by vleith(2983)

Question 203099: Lee can frame a cabin in 4 days less than Ron. When they work together, they will do the job in 4 and 4/5 days. How long would each of them take to frame the cabin alone?
Click here to see answer by ankor@dixie-net.com(22740)

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