Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 486647: I'm using the quadratic formula to solve:
3x=1-1/x
I multiplied the x out and got: 3x^2=x-1
I put it in standard form and came up with: 3x^2-x+1
a=3 b=-1 c=1
when I work out the equation I get -11 under the radical which would mean there is no real solution.
did I work out the problem correctly?
Click here to see answer by chessace(471)   |
Question 486294: Give exact and approximate solutions to three decimal places:
y^2-2y+1=100
If I follow the example in the book, I get the wrong answer. I am confused as how to work this problem. Thank you for any help you are able to give.
Click here to see answer by lwsshak3(11628) |
Question 486964: Please help!! I'm lost with this one!! 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. ( is the day tickets go on sale).
Tickets = -x2 + 5x + 29 = 0
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?
e. After how many days will the peak or low occur?
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 e. and f?
h. How many solutions are there to the equation -x2 + 5x + 29 = 0? 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?
Click here to see answer by John10(297)  |
Question 486981: f(x)=x^2-2x-24
a - Determine the vertex?
b - Does the graph open up or down?
c - What is the equation of the axis of symmetry?
d - Find any x-intercepts?
e - Find the y-intercepts?
f - Sketch the graph.
g - State the domain and range in interval notation?
If you mess up one thing it makes you start over completely with a new problem, which what keeps happening to me.
Click here to see answer by MathLover1(20849)  |
Question 487015: f(x)= -1/3x^2
y^2=3/7+5/2
x^2+3x-5=0
f(x)=2x^2-16x+35
solve to three deciml places (x+5)^2=4
f(x)=2(x-1)^2
m^2-9/2m=3/2
f(x)=x^2-3x+1
E=hc^2, for c
f(x)=3x^2-18x+21
3x^2-5x-11=0
f(x)=3x^2-5x-11
solve for x 3x^2=-10-8
y^2-16y+64=4
f(x)=1/2(x+3)^2+6
f(x)=-x^2+12x+3
can your help me with these please
Click here to see answer by richard1234(7193)  |
Question 487112: Good Morning,
I am trying to solve the following equations x2 - 2x - 13 = 0
i am not sure if i am finding the square root of each side completely here is the work i have completed so far
The problem:
X2 - 2x - 13 = 0
Step #1
Move the constant term to the right side of the equation.
The constant term is - 13
X2 - 2x = 13
Step #2
Multiply each term in the equation by four times the coefficient of the term x
4x2 - (2x4 =) 8 = (13 x 4 =) 52
4x2 - 8 = 52
Step #3
Square the coefficient of the original x term and add it to both sides o the equation
Original Coefficient = 2 (2 squared =) 4
4x2 - 8 + 4 = 52 + 4
4x2 - 8 + 4 = 56
Step # 4
Take the square root of both sides
4x2 - 8 + 4 = 56
Please help me thank You
Bethany Keitzer
Click here to see answer by nerdybill(7384)  |
Question 487112: Good Morning,
I am trying to solve the following equations x2 - 2x - 13 = 0
i am not sure if i am finding the square root of each side completely here is the work i have completed so far
The problem:
X2 - 2x - 13 = 0
Step #1
Move the constant term to the right side of the equation.
The constant term is - 13
X2 - 2x = 13
Step #2
Multiply each term in the equation by four times the coefficient of the term x
4x2 - (2x4 =) 8 = (13 x 4 =) 52
4x2 - 8 = 52
Step #3
Square the coefficient of the original x term and add it to both sides o the equation
Original Coefficient = 2 (2 squared =) 4
4x2 - 8 + 4 = 52 + 4
4x2 - 8 + 4 = 56
Step # 4
Take the square root of both sides
4x2 - 8 + 4 = 56
Please help me thank You
Bethany Keitzer
Click here to see answer by Theo(13342)  |
Question 487150: We are trying to Factor the equation 2x^4 - 4x^3 + 8x^2. We factor out 2x^2 out. 2x^2(x^2 - 2x + 4) We then input into the quadratic equation (-(-2) +/- sqroot of -2^2 - 4(1)(4)) / 2(1). That give us (2 +/- sqroot -12) / 2. should be able to reduce that to 1 +/- (sqroot 3)i. So now we need to understand how to write the answer. Would it be 2x^2(x - (1 + [sqroot 3]i)(x + (1 + [sqroot 3]i)?? Some how this just does not appear to me to be the correct answer.
Thanks
Glenn and James
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 487788: f(x)=1/2x^2+6x+7
I know that the vertex is (-6,-11)
I know that the graph opens up.
I know the equation of the axis of symmetry is -6.
What I need to figure out is what the x intercepts are.
It says to type the exact answer using radicals as needed. Simply as needed. Do not factor.
Geee I am so confused!
Click here to see answer by stanbon(75887) |
Question 487716: I need help!
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 x. ( is the day tickets go on sale).
Tickets=-0.2x^2+12x+11=0
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?
e. After how many days will the peak or low occur?
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 e. and f?
h. How many solutions are there to the equation -0.2x^2+12x+11=0
? 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?
Click here to see answer by richard1234(7193) |
Question 489412: hELLO, I NEED A QUADRATIC FORMULA FOR A RECTANGLE WHO'S AREA IS 100 METERS. I KNOW THAT AREA = LENGTH * WIDTH AND MY RECTANGLE'S WIDTH IS 2 TWO TIMES THE LENGTH + 3 METERS. I JUST NEED HELP SETTING UP THE PROPER FUNCTION FOR THIS PROBLEM PLEASE.I NEED TO ELIMINATE ONE OF THE VARIABLES BUT I AM CONFUSED WHERE TO START.
Click here to see answer by jorel1380(3719)  |
Question 489559: (x-2)(x-3)>=0
where x cannot be equal to 2.
and the answer is (2,3] here two is included and three is not.
Now if i put 2 in the above equation:
(2-2)(2-3)
(0)(-1) which is equal to zero
and if i put x=3 then
(3-2)(3-3)
(1)(0) which is also equal to zero
So why 2 is not included in the answer and 3 is.
Click here to see answer by chessace(471) |
Question 489600: During the first part of a trip, a canoeist travels 48 miles at a certain speed. The canoeist travels 5 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hrs. What was the speed on each part of the trip? The speed on the first part of the trip was ?
Click here to see answer by mananth(16946)  |
Question 490126: I am having trouble solving the following: Please help me understand
Height , h metres of a model rocket above ground, t = seconds after launching is given by the equation h=4t(50-t).
Sketch the graph show the co-ordinates of all intercepts and turning point.
I need to find the greatest height the rocket reaches, after how long does the rocket reach its greatest height and how long does the rockets flight last.
I have not come across a quadratic equation in this form before and it is confusing me.
Any help you can give me would be most appreciated.
Thank you.
Click here to see answer by stanbon(75887) |
Question 490482: I have been working on solving is quadratic equation. I can get it set up but it is part of a word problem which has a two decimal answers.The prob. is a modeling problem. An astronaut on the moon throws a baseball upward. The astronaut is 6ft 6inches tall and the initial velocity of the ball is 30ft per sec. The height s of the ball in feet is given by the equation s=-2.7t^2 +30t+6.5 where t is the number of seconds after the ball is thrown. Part A: After how many seconds is the ball 12ft above the moon's surface? Round to the nearest 10th. Part B. is how many second will it take for the ball to return to the surface? Round to the nearest hundredth. What I have so far is:
multiplied by 10 to get rid of the decimals
120=-27t^2 + 300t + 65,
120-120=-27t^2 + 300t + 65-120,
0=-27t^2 + 300t + -55
x=-(300)+or -the sq.root(300)^2-4(27)(-55)
divided by 2(27)
I am getting x=-300 +or- sq.rt95940
divided by 5.4.
I am having trouble simplifying this further, I have the answers from my book, but I don't know how to bring this problem to a conclusion. Ans. are a).19sec, 10.92sec b)11.32sec
Thank you kindly for your help
Carolyn
Click here to see answer by John10(297) |
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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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