Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 487494: Explian the four steps for solving quadratic equations? Can any of these steps be eliminated? Can the order of the these steps be changed? Would you add any steps to make it easier,or to make it easier to understand?
Click here to see answer by richard1234(5390)

Question 487283: Help ASAP please! The point is on the graph of y=-x^2+kx-4. What is the value of k?
Click here to see answer by richard1234(5390)

Question 487579: Please help me solve this equation.
Two integers have a sum of -4. The sum of their squares is 40. What are the two integers?
Thanks!
Click here to see answer by Maths68(1474)

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(57956)

Question 487757: It says to find the vertex, but the fraction is throwing me off.
1/2x^2+6x+7
Click here to see answer by Theo(3504)

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(5390)

Question 488256: I cannot figure out the answer to this problem.

ax^2+bx+c=0 the given solution is -squareroot5,4squareroot5 can you please help me? thank u
Click here to see answer by Theo(3504)

Question 488408: quadratic equations with the same solution.
7 and -7

Click here to see answer by solver91311(17075)

Question 488435: How would I write
6 is 18 more than a number times 12
Click here to see answer by stanbon(57956)

Question 488918: N(x) = -0.4x^2 +8x + 12 IS the formula. What day will the ticket sales peak on? and how many tickets will be sold on that day.
Click here to see answer by stanbon(57956)

Question 489002: 2/4 - 1/28 + 1/8 ?
Click here to see answer by rfer(12727)

Question 489376: The length of a proposed rectangular flower garden is 4 feet less than five times the width. The area of the proposed garden is 57ft^2. Find the length of the proposed flower garden."

Click here to see answer by jorel1380(2518)

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(2518)

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(12270)

Question 489856: Find the x and y intercepts of f(x)= 4x^2+12x+9
I figured out that the y intecept is (0,9) so I just need the x-intercept.
Click here to see answer by stanbon(57956)

Question 489868: solve 5x+x(x-1)=0 and find the x-intercepts of f(x)= 5x+x(x-1)
Click here to see answer by stanbon(57956)

Question 489940: how do i get 2 answers when solving quadratic equations? my teacher said i was going to get two and i need help. -3x-11x-4=0 and please include how you got the answer.
Click here to see answer by stanbon(57956)

Question 490051: solve this using the quadratic forumula:
x^2-5x+1=0
Click here to see answer by mananth(12270)

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(57956)

Question 490229: solve for x
5x^2=-14x-8
Do I have to subtract 5x^2 from both sides giving me 0=-5x^2-14x-8?
Then what do I do?
Click here to see answer by stanbon(57956)

Question 490229: solve for x
5x^2=-14x-8
Do I have to subtract 5x^2 from both sides giving me 0=-5x^2-14x-8?
Then what do I do?
Click here to see answer by MathLover1(6808)

Question 490366: i must assume the area for a pe. area is L= 30 by 36 = 1080 and W= 20 by 36 =720
how do i solve in quadratice formula?
Click here to see answer by Alan3354(31510)

Question 490424: how do u solve this problem 1/2(14x-8)-(x+5)
Click here to see answer by Alan3354(31510)

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(265)

Question 490686: find a quadratic equation with roots -1+4i and -1-4i
Click here to see answer by MathLover1(6808)

Question 490914: eleminatio linear equation
3x + y=-1
2x +-y= 3
substitution
3x + 2y=1
7x + 6y=2
Click here to see answer by Alan3354(31510)

Question 491133: this is the word problem. The profit function for the Recklus Hang gliding Service is P(x) = -0.2x
2
+ fx - m,
where f represents the set up fee for a customer’s daily excursion and m
represents the monthly hanger rental. Also, P represents the monthly profit in
dollars of the small business where x is the number of flight excursions facilitated
in that month.
The question i have is How many flight excursions must be sold in order to maximize the profit? Show
your work algebraically. Trial and error is not an appropriate method of solution –
use methods taught in class

Click here to see answer by stanbon(57956)

Question 491071: Find the power function that the graph of f resembles for large values of [x]
f(x)= -x^2(x+4)^3(x^2-1)

Click here to see answer by richard1234(5390)

Question 491375: Use the Quadratic Formula to solve the quadratic equation. (Enter your answers as a comma-separated list.)

4.5x2 − 6x + 15 = 0
Click here to see answer by MathLover1(6808)

Question 491386: A board game is played on a rectangular board whose area is 96 square inches. If the length is 4 inches longer than the width find its demension.
what ive got so far:
L=w+4
L*W=96
(W)*(W+4)=96
Wsquared+4W=96

Click here to see answer by Alan3354(31510)

Question 491476: How would you solve the equation by factoring?
Click here to see answer by MathLover1(6808)

Question 491547: Find a quadratic equation with the given roots r1 and r2. Write the answer in the form
ax2 + bx + c = 0,
where a, b, and c are integers and a > 0.
r1 = 4 and r2 = 11
Click here to see answer by Gogonati(817)

Question 491989: Please help me solve this quadratic equation in a step-by-step manner by completing the square :

Click here to see answer by nerdybill(7003)

Question 491989: Please help me solve this quadratic equation in a step-by-step manner by completing the square :

Click here to see answer by Theo(3504)

Question 492012: Solve the following systems of equations for both x and y.
-5x + 3y = -40
9x - 4y = 72
Click here to see answer by deborabr(181)

Question 492082: write the quadratic equation x^2+x-12=0 in factored form
Click here to see answer by sudhanshu_kmr(1152)

Question 492166: Solve for x.
x^( 2) + 8x + 16 = 25

Click here to see answer by deborabr(181)

Question 492586: I have to find the y-intercept, the equation of the axis of symmetry, and the x-coordinator of the vertex. 2. make a table of values that includes the vertex 3. use the information to graph the function. My problem is, I do not understand the rules for solving the equation.
f(x)=x to the second power - 8x + 15. please help. I would also like to know the explanaions as to what equation to use to solve the problem.

Thanks, Deonte
Click here to see answer by WhuddaPeach(6)

Question 492734: make m the subject of the formula W=(F/M+g/n)^-1
please explain to me how do you do it dont just give me the answer.
Click here to see answer by stanbon(57956)

Question 492878: Sam has a 15 by 25 rectangular pool. He wants to pour a concrete deck of uniform width around the pool so the area of the pool and deck is 600 sq. ft. How wide is the deck?
Click here to see answer by lmeeks54(105)

Question 493046: Can you please tell me how to translate this phrase using mathematical symbols
1. one more than the difference of two numbers
Click here to see answer by Alan3354(31510)

Question 492989: Can someone help?
51p=2p^2+72
Click here to see answer by Gogonati(817)

Question 493293: Im trying to help my son but can't remember how. Write the quadratic function in standard form. Determine whether the graph of the functions opens up or down. Problem: y=3-2x-x^2
Click here to see answer by Alan3354(31510)

Question 493692: solve by factoring: 2x^2+3x=2 ...please. thanks!
Click here to see answer by stanbon(57956)

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