Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 567835: How do you get the quadratic equation if you are given a table of values?
Click here to see answer by issacodegard(60)

Question 566230: how do you solve the equation 4p^2-90=-9p?
Click here to see answer by jim_thompson5910(35256)

Question 568196: a pool is to be 30 feet wide and 90 feet long. A walkway is to be built around the entire pool. if the combined area cannot exceed 4000 square feet what are the possible widths of the walkway?

Click here to see answer by mananth(16946)

Question 568520: how do you completely factor y5-26y
Click here to see answer by jim_thompson5910(35256)

Question 568627: I have no idea why I got a certain answer. This is my problem: 5/6x+30=x then I multiplied both by 6 and added them together to get 185. Am I correct? If so, how does that answer work?
Click here to see answer by nyc_function(2741)

Question 568662: 3x^2-x-5=0
Click here to see answer by jim_thompson5910(35256)

Question 568741: x^2+3x+8=5
Click here to see answer by jim_thompson5910(35256)

Question 568702: Model with a quadratic equation, then solve.
Find the dimensions of a square picture that make the area of the picture equal to 75% of the total area enclosed by the frame. The total length of the side is 12inches, including the frame.
I thought y=axsquared for the equation
144=0.75x2
192=x2
x=13.9 But this is larger than the length of the picture frame???

Click here to see answer by KMST(5328)

Question 568822: whats the quadratic equation for the table x=1 and 3 when y =0 for both of them?
Click here to see answer by stanbon(75887)

Question 569018: One leg of a right traingle is 3 inches shorter than the hypotenuse. The other leg is equal to 8 inches. How long is the first leg?
The correct answer is 55/6 inches, but I can't figure out how ot get it. Please help me!
Click here to see answer by stanbon(75887)

Question 569015: One leg of a right triangle is 7 miles longer than the other. The hypotenuse is equal to 13 miles. How long is the shorter leg?
The correct answer is 5 miles.
please help me see how to do this!
Click here to see answer by Alan3354(69443)

Question 569115: How do you solve this quadratic equation explain process.
te{5/3,3/2}
Click here to see answer by Alan3354(69443)

Question 569093: how do i find the solution of x2-x+3/16=0 by factoring?
Click here to see answer by Alan3354(69443)

Question 569208: Which of the binomials below is a factor of this expression? 25x2 - 9y2 z2
Click here to see answer by stanbon(75887)

Question 569221: y=x-1
y=-x=1

Click here to see answer by Alan3354(69443)

Question 569428: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax2 + bx + c = 0.
Solutions: -9 and 6.

Click here to see answer by stanbon(75887)

Question 569266: How do you find a quadratic equation if you are only given the solution? Is it possible to have different equadratic equations with the same solution?
Click here to see answer by richard1234(7193)

Question 569254: How do you know if a quadratic equation will have one, two, or no sloution?
Click here to see answer by richard1234(7193)

Question 569421: Q. Obtain the values of k such that x^2-6x+k=0 has real roots.
is it to solve by making b^2-4ac=0
i got the answer as
k=9
also
Calculate the value of if the difference between the roots of x^2-6x+k=0 is 3
i got the answer as k=27/4
please can u help me to varify my answers.. i will be happy to forward u the steps which i prepared in word. to ur email.
Thanks
Click here to see answer by richard1234(7193)

Question 569574: Find Y in the following equation:

Click here to see answer by JBarnum(2146)

Question 569602: 1/a+1/b+1/x=1/a+b+x ,a#0,b#0,x#0,x#-(a+b).
Click here to see answer by Alan3354(69443)

Question 570434: the value of d in this equation: d-34.8=5.3
Click here to see answer by solver91311(24713)

Question 570512: please help me solve this problem 2x to the second power -3=1
Click here to see answer by jillfired(3)

Question 570645: Solve the equation by factoring.
(2x/x+3)+(5/x)-4=(18/x^2+3x)
--------------------------------
I have gotten this far with the problem....
LCM = X(x+3) thus I have 2x^2+5x+15-4x^2-12=18--->-2x^2+5x+3=18--->-2x^2+5x-15=0

I think my problem is the (-2x^2) which I got from 2x^2-4x^2 and the (-4x^2) is from multiplying the LCM (x(x+3))to -4.
Could you show me where my error is?
Thank you
Kenneth
Click here to see answer by Earlsdon(6294)

Question 570705: I need to solve : f(x)=(1)/(3) (x+4)^(2)+3 for the vertex, and the line of symmetry..Have been working on this one problem for about 20 minutes now.
Click here to see answer by scott8148(6628)

Question 570835: I am having a hard time solving this equation quadratic in form:
9x(to the 4th power)=85x(squared)-196.
I know it then becomes 9x(to the 4th power)-85x(squared)+196=0.
Then u = x squared. So then it becomes 9u squared-85u+196=0
Now I'm stuck on how to solve the equation from here because I don't think I factor here???
Click here to see answer by mananth(16946)

Question 570939: x^2-6x-28=0
Click here to see answer by jim_thompson5910(35256)

Question 571016: my homework question reads:
an object is thrown upward from the top of a 256ft tower at a velocity of 96ft/sec. Find the height after 3 seconds.
I know I need to use the quadratic equation, but I don't know what to do next.
3t=-16t^2+96t+256
16t^2-93t-256=0
Thanks for your help!
Click here to see answer by KMST(5328)

Question 570883: Ticket Sales
Living in or by a metropolitan area has certain advantages. Entertainment opportunities are almost boundless in a major city. Events occur almost every night, from sporting events to the ballet. Tickets to these events are not available long; and quantity of tickets demanded can often be modeled by quadratic equations.
Application Practice
Answer the following questions. You must use Equation Editor or MathType when writing mathematical expressions or equations. Working in a new MS Word file, provide solutions and answers to all problems, clearly labeling your work. You must show your steps or provide verbal explanations (where appropriate) to receive full credit. Use textbook examples as your guide as to what level of detail is expected.
1. 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 n. ( is the day tickets go on sale, Day 1).

[Note: Function f(n) �maps� the days (dates) when tickets are sold to the corresponding number of tickets sold on each specific day (date), so f(15) would denote the number of tickets sold on the 15th day of ticket sales]
a. Does the graph of this equation open up or down? How did you determine this?

b. Describe what happens to the tickets sales as time passes.
c. Use the 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.

d. 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?

e. How many tickets would be sold on Day 4? On Day 13? On Day 32?

f. How many tickets will be sold on the day when the peak or low occurs?

g. What is the point of the vertex? How does this number relate to your answers in parts d. and f?

h. How many solutions are there to the equation ? How do you know?

i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?
j. (Optional � advanced) How many tickets in total will be sold during the entire period when tickets are sold?
[Hint: One can, of course, take this problem �heads on�, calculating the number of tickets sold on each day that tickets are sold (e.g. for all n when f(n)>0). However, this will involve way too much work, as you probably have seen in e. We need to �speed up� the process. How? Well, if a constant number of tickets (e.g. 100 tickets) were sold on days 1 through k, we know that the total number of tickets sold would be 100*k. You should use your answer to c. above as your actual k.
What if ticket sales were proportional to the day number, e.g. 1 ticket sold on Day 1 and k tickets sold on Day k? Formula for the sum of an arithmetic progression (specific to this case) would yield the number of tickets to be . Now if the proportionality coefficient were to be not 1 but some �b�, then the formula would simply be: (do you see why?)

The most challenging is probably the formula for the total number of tickets sold if ticket sales were directly proportional to the square of the day number: . Try this formula to see if it works for the first few sums of squares (e.g. 1+4+9, here k would be 3).
Of course, if there was a proportionality coefficient different from 1, say �a�, then the formula would simply be:
Now, all you have to do would be to understand that the quadratic function�s three separate elements may be evaluated separately using the above formulas for the entire domain of days when tickets are sold, and the total can be arrived at much quicker than taking the problem �head on�]
I am totally confused on this problem and not matter what I did I cannot figure it out. Please help.
Click here to see answer by richard1234(7193)

Question 571908: I am ridiculously confused on these problems. I don't even know where to start with them.
x�+41 =8x and the answer has to be in the form of a+bi
The second one is:
x�+13/2x=3
and then the last one is:
The width of a rectangle is 1 ft less than the length. The area is 2ft�
width=
length=
Click here to see answer by stanbon(75887)

Question 572106: What is the curve in a quadratic equation called
Click here to see answer by scott8148(6628)

Question 571239: x^2-x=72
Click here to see answer by jim_thompson5910(35256)

Question 572378: 9x^2+21x-8=0
Click here to see answer by Maths68(1474)

Question 572330: find a quadratic equation having 5/3 and 1/3 as roots
Click here to see answer by ankor@dixie-net.com(22740)

Question 572487: how to solve: Write a quadratic function in standard form whose graph passes through the given points. "(1,-2) (-2,1) (3,6)" please show work so i know how to do it
Click here to see answer by richard1234(7193)

Question 572446: The product of two positive integers is 45. One number is 4 more than the other. Find the numbers.
Click here to see answer by richard1234(7193)

Question 573125: how do i solve (f+g)(x)

Click here to see answer by solver91311(24713)

Question 573139: The length of a rectangle is twice the width. The area is 32yds squared . Find the length and the width
Click here to see answer by solver91311(24713)

Question 573163: Solve for x. 4x^2=-13x-10
Click here to see answer by mathsmiles(68)

Question 573158: m^2+m-62=-6
Click here to see answer by mathsmiles(68)

Question 573394: to go over a tree, a golfer uses a 7 iron to hit the ball with an intial upward velocity of 80 feet per second write a quadratic function that gives the height of the ball t seconds after it is hit
Click here to see answer by stanbon(75887)

Question 573534: I need help on this math question m squared-7m-8=0
Click here to see answer by scott8148(6628)

Question 573801: Showing all the steps, solve the following:
3x^3+x^2=4x

Can the below equation be solved? If yes, show how.
3x^2+4x=7
Click here to see answer by htmentor(1343)

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, 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