Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 456793: List the possible rational zeros of: 3x^4+2x^3-x+15.
I know the answer from the back of the book but if
you could show the work so i could see how you did
it that would be nice. Thank you.
Click here to see answer by stanbon(57387)

Question 456779: The common algorithm for calculating the roots of a quadratic equation by the quadratic formula requires considering several special cases in your code, including consideration of special cases when one or more coefficients vanish. Write appropriate comments for this algorithm so that the comments make it easy to see the different cases and how they are handled. Write accompanying documentation to explain the algorithm. Total target answer should be no more than 2 pages
I need help on this ASAP
Tks
Click here to see answer by solver91311(16897)

Question 456799: find the x- and y-intercepts
f(x)=25x^2+10x+1
Click here to see answer by lwsshak3(6522)

Question 456819: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x^2+2x-24
. If there is more than one x-intercept, separate them with commas.
Click here to see answer by spacesurfer(12)

Question 456834: 2x^2-4x-4=y
solve for y
Click here to see answer by spacesurfer(12)

Question 456825: what equation of axis of symmetry of a parabola if its x-intercepts are 5 and -5
Click here to see answer by spacesurfer(12)

Question 456977: If one root of the equation X^2+K(3K-5x)=1-2K is four time than other,find the value of k
Thanks~~
Click here to see answer by robertb(4012)

Question 456974: Find a quadratic equation with
x=22 and x=-11

Click here to see answer by mananth(12270)

Question 457191: How do you change a problem such as, 2x^2=-6+8x, into a quadratic equation that can be solved using the quadratic formula?
Click here to see answer by nerdybill(6962)

Question 457191: How do you change a problem such as, 2x^2=-6+8x, into a quadratic equation that can be solved using the quadratic formula?
Click here to see answer by stanbon(57387)

Question 457223: What are the roots of the Quadratic equation that is graphed in the accompanying diagram?
1) (2,2)
2) (-2,2)
3) (-2,-2)
4) (2,0)

There is a parabola with the coordinates of (-2,0), (2,0), (-1,-3), (1,-3), and (0,-4) is on the diagram shown.
Click here to see answer by Alan3354(30993)

Question 457233: How do you change a problem such as, x^2-51=-2x, into a quadratic equation using the quadratic formula?
Click here to see answer by richwmiller(9143)

Question 457262: Given that p+1 and q+1 are the roots of the equation x^2-x-12=0,find the possible of p and Q,thanks~~
Click here to see answer by josmiceli(9697)

Question 457251: Give the exact and approximate solutions to three decimal places.
x^2-5x+3=0
exact solutions are x=
approximate solutions to 3 decimal places are x=
Click here to see answer by richwmiller(9143)

Question 457229: Please help with this homework!

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 = -0.6x2 + 12x + 11
Does the graph of this equation open up or down?
How did you determine this?

Describe what happens to the ticket sales as time passes.

Use the quadratic formula to determine the last day that tickets will be sold.
Hint: Write your answer in terms of the number of days after ticket sales begin and you can’t have partial days.
Will tickets peak or be at a low during the middle of the sale?
How do you know?
After how many days will the peak or low occur?
Hint: Use the axis of symmetry formula.
How many tickets will be sold on the day when the peak or low occurs?
Hint: Substitute your value from question 7 into the original quadratic equation.
What are the coordinates of the vertex?
How did you determine this?
How many solutions are there to the original quadratic equation given in question 3?
How do you know?

Click here to see answer by richwmiller(9143)

Question 457249: Find the vertex, line of symmentry, maximum or minimum value of the quadratic function and graph the function. f(x)=-(x+3)^2-2
Click here to see answer by poliphob3.14(115)

Question 457407: 2. Solve the equation by using the quadratic formula. Use √( ) and ± , if you want.
a. Write irrational numbers in simplest radical form.
b. Explain each step as you go.
X^2 + 4x – 8 = 0
Click here to see answer by MathLover1(6638)

Question 457466: Find and label the vertex and the line of symmetry. Graph the function. f(x) = 2x^2
Click here to see answer by rfer(12670)

Question 457469: Find and label the vertex and the line of symmetry. Graph the function. f(x) = (x+1)^2
Click here to see answer by stanbon(57387)

Question 457469: Find and label the vertex and the line of symmetry. Graph the function. f(x) = (x+1)^2
Click here to see answer by rfer(12670)

Question 457467: Find and label the vertex and the line of symmetry. Graph the function. f(x) = (x+3)^2
Click here to see answer by rfer(12670)

Question 457485: I have to solve the equation x^2+ 12x-64=0 using the 6 step Indian process and I am not coming up with good numbers
Click here to see answer by mananth(12270)

Question 457485: I have to solve the equation x^2+ 12x-64=0 using the 6 step Indian process and I am not coming up with good numbers
Click here to see answer by Edwin McCravy(8909)

Question 457459: x(x-24)=0
Click here to see answer by jim_thompson5910(28598)

Question 457641: Please help me solve the problem :
The product of two numbers is 90.
One number is 3 more than twice the other number.
Model these numbers with a quadratic equation.
Solve the equation by factoring and using the Zero-Product Property.
Click here to see answer by oberobic(2304)

Question 457703: A telephone company in a town has 1000 subscribers on its list and collects a fixed charge of Rs.400 per subscriber per year. The company proposes to increase the annual subscription and it is believed that for every increase of Re. 1, one subscriber will continue the service. Find what increase will bring maximum revenue to the company.
Click here to see answer by stanbon(57387)

Question 457726: hard question
Find the quadratic equation that fits the following set of data points
{(-2,18),(-5,87),(4,42)} Write the equation in the stanrd form, y=ax^2+bx+c.
Thank you.
Click here to see answer by Edwin McCravy(8909)

Question 457714: Determine whether the graph of y=3x^2+2x− 10 opens up or down and whether it has a maximum or minimum point.
Click here to see answer by Edwin McCravy(8909)

Question 457781: I really don't understand this one:
Determine the nature of the solution of the equation
x^2-18x+81=0
Click here to see answer by Alan3354(30993)

Question 457779: I have another difficult problem
x^2/3-3x ^1/3-4=0
Click here to see answer by Alan3354(30993)

Question 457764: I have no idea how to work this problem, I keep getting the wrong answer
please help
Solve:
(y^2-5y)^2-8(y^2-5y)-84=0
Click here to see answer by scott8148(6628)

Question 457775: Can someone please help, I am totally lost
Find all x-intercepts of the given function f(x).
F(x)=x-17√(x+72)
Thank you.
Click here to see answer by ankor@dixie-net.com(15660)

Question 457921: 1. Something is wrong with the student’s work below.
• Explain what the student did wrong.
• Next, show how to simplify the fraction correctly.
Sara simplifies the expression as follows: x^2+6x+9/x+3
x^2 + 6x( X is crossed out with 1)+9( 9 is crossed out with 3/ x (crossed out for 1)+3( 3 crossed out for 1)=x^2+9( x does not eqaul -3)

Click here to see answer by richwmiller(9143)

Question 457938: 1. Something is wrong with the student’s work below.
• Explain what the student did wrong.
• Next, show how to simplify the fraction correctly.
Sara simplifies the expression as follows: x^2+6x+9/x+3
x^2 + 6x( X is crossed out with 1)+9( 9 is crossed out with 3/ x (crossed out for 1)+3( 3 crossed out for 1)=x^2+9( x does not eqaul -3)
Click here to see answer by richwmiller(9143)

Question 457942: given that the equation x^2+(2-h)x+h=0 has non-zero roots which differ by 2,find the value of
(a)each root
(b)h
Thanks~~
Click here to see answer by robertb(4012)

Question 457996: The equation 2(x^2+12)+kx=0
where k <0 has roots a and b where a-b=4.Find the value of k
Click here to see answer by J2R2R(94)

Question 457992: The equation x^2-9x+2k=0 has roots a and b.If a = 2b,find the value of k
Thanks~~
Click here to see answer by robertb(4012)

Question 458017: Please help I have two problems: find the vertex,line of symmetry and graph the function:
f(x)=-2x^2+2x+10
f(x)=2-x^2
Thank you
Gina
Click here to see answer by stanbon(57387)

Question 458034: Graph the Parabolas y=-2x^2+3x+2
Click here to see answer by poliphob3.14(115)

Question 458128: can someone please, please me
f(x) =(x^2-6x)^2-22(x^2-6x)-55
Thanks
Click here to see answer by richard1234(5390)

Question 458252: find the vertex, line of symmetry , and maximum or minimum value of the quadratic function: f(x)= 2x^2 - 8x + 22
Click here to see answer by Alan3354(30993)

Question 458252: find the vertex, line of symmetry , and maximum or minimum value of the quadratic function: f(x)= 2x^2 - 8x + 22
Click here to see answer by rfer(12670)

Question 458251: find the vertex, line of symmetry, and maximum or minimum value of the quadratic function: f(x)= -x^2 + 12x + 6
Click here to see answer by rfer(12670)

Question 458256: find the x-intercept and y-intercept: f(x)= -x^2 + 5x + 50
Click here to see answer by Alan3354(30993)

Question 458256: find the x-intercept and y-intercept: f(x)= -x^2 + 5x + 50
Click here to see answer by oberobic(2304)

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