Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 326202: The hypotenuse of a right triangle is 1 cm longer than the longer leg. The shorter leg is 7 cm shorter than the longer leg. Fin the length of the longer leg of the triangle
Click here to see answer by solver91311(16868)

Question 326227: Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? Which method do you like the best? Why? What circumstances would cause you to use a different method?
Click here to see answer by solver91311(16868)

Question 326245: how would you write an quadratic equation if the answer is -6 and 6
Click here to see answer by stanbon(57214)

Question 326247: Determine what type of solutions the quadratic equation x²+ 3x – 7 = 0 offers.
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Question 326283: 6x^2-4x+15 = 0
Click here to see answer by nyc_function(2733)

Question 326200: A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 4 ft less than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 2 ft less than the length of the ladder?
Click here to see answer by Fombitz(13828)

Question 326355: how would you write a quadratic equation if the answer is

x = -4i

x = 4i

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Question 326354: how would you write a quadratic equation if the answer is x=2 and x=-2
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Question 326409: Determine the number of solutions of x2 - 5x + 40 = 0.
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Question 326438: Complete the square x^2-20x=50. Not that brilliant when it comes to completing the square problems, None of the steps to do it makes any sense. Asking for it in a (x+y)^2 form i think.
Click here to see answer by Fombitz(13828)

Question 326433: r^2-9=0
how would you slove this?
Click here to see answer by Fombitz(13828)

Question 326513: I need to create a quadratic equation that has solutions of x=6 and x=3. I'll provide what I have so far but it is still not coming out correctly. Could you please help? I have: x-6=0 and x-3=0, (x-6)(x-3)=0, x^2-6x-3x+18=0, x^2-3x+18=0. Please advise. Thank you.
Click here to see answer by solver91311(16868)

Question 326541: What are the major underlying assumptions of the biopsychological approach? What effect do these assumptions have on the field?
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Question 326590: 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=02.x^2+12+11
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 ? 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 solver91311(16868)

Question 326640: A golf ball is hit from the ground with an initial velocity of 208 feet per second. How long will it take the golf ball to hit the ground?
Click here to see answer by Alan3354(30939)

Question 326538: factor 2x^4y^4 + x^6u^8y^6
Click here to see answer by Fombitz(13828)

Question 326850: if the roots of a quadratic equation are (-3/2) and (4/5), find one possible equation
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Question 326961: Provide your classmates with a quadratic equation to solve. Ask them which method should be used and why?
x^2+4x-4=0

Click here to see answer by stanbon(57214)

Question 326981: slove using the quadratic formula 6x² - 7x + 4 = 0
Click here to see answer by mananth(12270)

Question 326971: use the quadratic formula to solve the equation 3x² = 15
Click here to see answer by Fombitz(13828)

Question 326972: Use the quadratic formula to slove the equation 4k²+ 8k - 6 = 0
Click here to see answer by Fombitz(13828)

Question 326938: what is the quadratic equation for the following? solve
x^2-x= -3
Click here to see answer by Fombitz(13828)

Question 327046: I need to setup a quadratic expression and work it for this word problem. Could someone help me.
You have two rooms that are 12 x 24 that need wood flooring. Each box of wood flooring has 22.7 square ft in them. How many boxes would you have to have to finish both floors?
Click here to see answer by Theo(3458)

Question 326913: Quadratic equations can be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer? Why?
Click here to see answer by Fombitz(13828)

Question 327150: Please help me solve this equation: 3x^2-1=6x
Click here to see answer by solver91311(16868)

Question 327120: The percentage of the U.S. population that is foreign born are listed in the table
year / Percent
_______________
1950 / 6.9
1960 / 5.4
1970 / 4.8
1980 / 6.2
1990 / 7.9
2000 / 10.4
Let f(t) represent the percentage of the U.S. population that is foreign born t years since 1950. Find a reasonable quadratic model for f(t).

Click here to see answer by Fombitz(13828)

Question 327152: Please help me solve the equation: A=1/2h(b+c)f or h
Click here to see answer by Fombitz(13828)

Question 327251: solve x^2+5x-7 to give the exact solutions and then give approximate solutions to three decimal places. I can not figure it out Would you please help.
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Question 327254: y^2-16y+64=1 solve for exact solutions
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Question 327255: solve for r r^2+3r=3
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Question 327261: The weight that a horizontal beam can support varies inversely as the length of the beam. Suppose that a 10-m beam can support 740 kg. How many kilograms
can 2-m beam support?
Thanks in advance to anyone that can help me out.
I must show the 5-6 step solving procces. Thanks!
Click here to see answer by solver91311(16868)

Question 327253: (x-8)=25 solve for exact solutions
Click here to see answer by rfer(12644)

Question 327281: Could you please help me solve this equation: S= -16t^2 + v*t + k
Using the height of 313,2 meters from the eiffel tower if a child was throwing a ball off of the eiffel tower.
When a ball is thrown up into the air, it makes the shape of a parabola. The equation S= -16t^2 + v*t + k gives the height of the ball at any time, t in seconds, where “v” is the initial velocity (speed) in ft/sec and “k” is the initial height in feet (as if you were on top of a tower or building).
Make up a scenario where a ball is thrown, shot, etc. into the air. You can choose any initial velocity (in feet/sec) and any initial height (in feet) of the ball, but include them in your written scenario. The ball can leave your hand, the top of a building, etc. so you can use many different values for the initial height.
Click here to see answer by solver91311(16868)

Question 327308:
Could I please have some help with this problem. I am really back at this when it comes to square roots. Thank you
(3- 2square root7)(3+ 2square root 7)
Click here to see answer by Alan3354(30939)

Question 327267: The enttrance to a tent is the shape of an equilateral triangle. If the base of the tent is 10 feet wide, how tall is the tent?
I must show the 5-6 steps of problem solving.
Thank you to anyone that can help me out.
Click here to see answer by jvan(28)

Question 327379: I saw this problem in my textbook:
A rectangle has a perimeter of 42 miles and an area of 104 square miles. Find the dimensions of the rectangle.
My question is... how do you get the answer? I've tried making two equations and solving for one variable, but it didn't work.
Click here to see answer by Fombitz(13828)

Question 327388: Please help solve the following equation using Quadratic Form (NOT formula):

Click here to see answer by stanbon(57214)

Question 327388: Please help solve the following equation using Quadratic Form (NOT formula):

Click here to see answer by Earlsdon(6287)

Question 327415: "A projectile is thrown upward so that its distance, in feet, above the ground after t seconds is h(t)= -14t^2 + 336t. What is its maximum height?"
Click here to see answer by Alan3354(30939)

Question 327477: In the equation -0.2x^2+12x+11, would the graph open up or down? What would happen to sales as time goes by? Last day of sales? Will tickets peak, highs,lows etc. How many will be sold? What is the point of the vertex? I know I should use the quadratic equation but am at a loss of where to go next.
Click here to see answer by checkley77(12569)

Question 327504: This problem was under the section Quadratic equations and problem solving... in my book. The problem is:
The sum of the squares of two consecutive negative integers is 221. Find the integers. I worked out the problem to make it a quadratic. My question is: How does the book get the answer of -10 and -11? I don't understand when... subsituting the numbers into the first sentence gets the right answer.
Click here to see answer by Fombitz(13828)

Question 327534: I saw this problem in my textbook:
A rectangular pool is surrounded by a walk 4 meters wide. The pool is 6 meters longer than its width. If the total area is 576 square meters more than the area of the pool, find the dimensions of the pool.
How do they get the answer? I've tried by making Total Area = x^2+6x+576, but have been unable to obtain the answer.

Click here to see answer by scott8148(6628)

Question 327454: I saw this problem in my textbook:
A rectangular pool is surrounded by a walk 4 meters wide. The pool is 6 meters longer than its width. If the total area is 576 square meters more than the area of the pool, find the dimensions of the pool.
How do they get the answer? I've tried by making Total Area = x^2+6x+576, but have been unable to obtain the answer.
Click here to see answer by ankor@dixie-net.com(15622)

Question 327860: Hello. Could you please help me?
I have to factor these completely, and if prime, say so.
Can you please show me how? Thank you so much.
e. 125r^3 - 8s^3
f. 5c^2 + 2c - 3
g. 16u^4 - v^4
thank you.

Click here to see answer by romerr1(7)

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