Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

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(12569)

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(57967)

Question 202413: Solve the formula N=k^2-3k / 2, for k
Click here to see answer by jsmallt9(3296)

Question 202438: x^2 = 16

y^2 + 8y = 0
Click here to see answer by stanbon(57967)

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

5.2x^2 + 9x - 5 = 0

Click here to see answer by stanbon(57967)

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(17077)

Question 202597: x^2-6x+10=0
Click here to see answer by jim_thompson5910(28715)

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(57967)

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(3296)

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(3296)

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(15746)

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(3296)

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(3296)

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(1512)

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(2825)

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(15746)

Question 203133: Solve by completing the square
x^2 - x - 1 = 0
Thanks
Click here to see answer by Earlsdon(6294)

Question 203097: Loren drove 200 miles at a certain rate, and his wife, Lois, drove 100 miles at a rate 10 mph slower. If Loren had driven for the entire trip, they would have arrived 30 minutes sooner. What was Loren's rate?
Click here to see answer by ankor@dixie-net.com(15746)

Question 203164: Solve by whatever method seems easiest, quadratic, factoring, property of square, of completing the square.
3x^2 = 2x + 5
Click here to see answer by scott8148(6628)

Question 203163: Solve by whatever method seems easiest, quadratic, factoring, property of square, of completing the square.
x^2 + 8x = -16
Click here to see answer by scott8148(6628)

Question 203173: Solving Quadratics

2x2 - 4x + 1 = 0

8. 3x2 + 2x = 7

9. x2 + 8x + 9 = -7

Click here to see answer by jejess(7)

Question 203246: Please Help!!! Thanks
x varies directly as the square of s and inversely as t. How does x change when s is doubled? When both s and t are doubled?
Click here to see answer by vleith(2825)

Question 203249: Please Help!!! Thanks Solve in the quadratic method and one other method. factoring, property of sq., or completing the square Show work.
3x^2 = 2x + 5
Click here to see answer by vleith(2825)

Question 203258: Y = ax^2 + 4x + c
the maximum is at (1,8)
the left hand side starts at (-1,0)
it goes through (0,6) and reaches the maximum then goes down an end at (3,0)
i need to know the value of c and a.
I have been stuck on this question for a long time. thank you again
i dont even know how to get started.
thank you for taking your time to solve this.
Click here to see answer by Earlsdon(6294)

Question 203244: The distance an object falls is directly proportional to the square of the time it has been falling. After 6 seconds it has fallen 1296 feet. How long will it take to 2304 feet? Please show all work. I get 10.58 seconds. But I don't think it is right. Any help will be greatly appreciated
Click here to see answer by ankor@dixie-net.com(15746)

Question 203276: -2x^2+x-5=0 how do you solve this equation?
Click here to see answer by solver91311(17077)

Question 203248: Please Help!!! Thanks Solve in the quadratic method and one other method. factoring, property of sq., or completing the square Show work.
x^2 + 8x = -16
Click here to see answer by checkley77(12569)

Question 203370: Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4-mph current, it took her 20 minuets longer to get there than to return. How fast will her boat go in still water?
Click here to see answer by ankor@dixie-net.com(15746)

Question 203369: The width of a rectangular gate is 2 meters (m) larger that its height. The diagnoal brace measures square root6m. Find the width and height.
Click here to see answer by stanbon(57967)

Question 203518: Can anyone help with this one? I cannot come up with a solution. I think I have it set up wrong. You are greatly appreciated.
Translate the following into a quadratic equation, and solve it: The length of a rectangular garden is four times its width; if the area of the garden is 196 square meters, what are its dimensions?

Click here to see answer by nerdybill(7003)

Question 203509: Could someone help me with this one? I have difficulty with word problems. You are greatly appreciated.
Joe has a collection of nickels and dimes that is worth $6.05. If the number of dimes was doubled and the number of nickels was decreased by 10, the value of the coins would be $9.85. How many dimes does he have?

Click here to see answer by ankor@dixie-net.com(15746)

Question 203511: Could someone help me with this one? I have trouble with word problems. You are greatly appreciated.
One year ago Walt invested $12,000. He invested part of the money at 7% and the rest at 9%. He made a total of $970 in interest. How much was invested at 7%?
Click here to see answer by rfer(12730)

Question 203530: A bridge is the shape of a parabola. It is 10 m wide and the highest point of the bridge is 6m above ground. A transport truck is 4.5 m tal and 3 m wide. The road is centered on the axis of symmetry and the transport truck must stay on its own side of the road. Will the trick fit under the bridge? Justify your decision.
Click here to see answer by ankor@dixie-net.com(15746)

Question 203510: Could someone help me with this one? I have trouble with word problems? You are greatly appreciated.
An express train and a local train both leave Gray’s Lake at 12:00 noon and head for Chicago 60 miles away. The express travels twice as fast as the local and arrives 2 hours ahead of it. Find the speed of each train.

Click here to see answer by ankor@dixie-net.com(15746)

Question 203638: Can you please help me with this?
How many solutions exist for a quadratic equation and how do we determine algebraically whether the solutions are real or complex?
Click here to see answer by stanbon(57967)

Question 203639: What three techniques can be used to solve a quadratic equation, demonstrate each using x^2-10x-39=0
Click here to see answer by nerdybill(7003)

Question 203643: Can you help me with this question?
Write three quadratic equations, with a,b,and c(coefficients of x^2, x, and the constant) as 1.Integers 2. Rational numbers 3. Irrational numbers
Click here to see answer by stanbon(57967)

Question 203652: x/5 + y/2 =8
x/11 - y/2 =-8
Please help asap!!!! i really appreciate it =)
Click here to see answer by scott8148(6628)

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