Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 459979: For the following equation state the value of the discriminant and then describe the nature of the solutions 19x^2 +4x-13=0. What is the value of the discriminant and does it have one real solution two real solutions or two imaginary solutions?
Click here to see answer by rfer(16322)  |
Question 460003: I get Quadratic Equations, however I'm having trouble coming up with the answer in the book. It says find the rule of quadratic function whose grpah has hte given vertex and passes through given point.
Vertex (-1,-2) point (1,2)
Any help would be appreciated
Click here to see answer by MathLover1(20849)  |
Question 460102: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions
8x^2 + 7x + 3 = 0
Click here to see answer by jim_thompson5910(35256) |
Question 460233: To solve a quad equation
Wouldn't it be:
2x^2-4x=-2x set = to zero
2x^2-4x+2v=0
GCF 2(X-1)(X-1)
X= +1
and NOT:
2x² - 4x = 2x
2x² - 6x = 0 {subtracted 2x from both sides}
2x(x - 3) = 0 {factored out the greatest common factor, 2x}
2x = 0 or x - 3 = 0 {set each factor equal to 0}
x = 0 or x = 3 {solved each equation for x}
Click here to see answer by stanbon(75887) |
Question 460257: Tickets sold = -0.2x^2+12x+11
x=1 is the day tickets go on sale. Use the quadratic equation to determine the last day tickets will be sold. I replaced x with 1 in the equation above to determine 22.8 tickets were sold on day one, but I'm not sure that is correct. How do I find out the last day tickets were sold? Can you show the work so I can understand how to find the answers? Thanks so much. =)
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 461037:  Use the quadratic formula to find the roots
I get a=1 b=1 and c=12
If I'm doing this right I'm getting roots of  and 
Am I right? If so, I do I plug that into the original formula to check the answers (as required in my class)?
Click here to see answer by rwm(914) |
Question 461169: Breifly discuss the effect of the sign of the coefficient a on the graph of y=ax^2+bx+c. Please include two example of graph to support your thoughts one where a<0 and one where a>0. If you do not include the actual graph, please describe your examples in detail with words.
Click here to see answer by stanbon(75887) |
Question 461455: I hope this is the right category. I wasn't sure where to put it. The beginning intro to the problem is kinda long. Sorry about that.
Ignoring air-resistance, the path of a projectile (a cannonball, a tight wad of paper), when close to the earth's surface, is approximately parabolic and is therefore described by a quadratic function. If the cannonball is launched at the point (0,0) in the xy-plane, its height h in feet as a function of x, the horizontal distance in feet from the launch point is given by
h = f(x) =
-16(1+m^2)x^2+mx
.....------
......v^2o
(The little o, I'm not sure how to type that in. My paper shows v squared and then a teeny zero to the right and lower. Sorry. It's been about 19 years since I've taken Algebra, so I'm not up on the language. It was also hard to type the fraction, but the actual fraction is (1+m^2) over v^2o. The rest isn't written on the fraction line but is beside the others to multiply the fraction by. Please ignore the periods.)
In this formula, the symbol vo (again, that little 0) is the initial launch speed in ft/sec and m is the slope of the initial trajectory. For example, when m=1, the cannon in our sketch makes an angle of 45 degrees with the horizontal. (Recal a line of slope 1 makes an angle of 45 degrees with the x-axis).
If m=1, and vo=80 ft/sec, you can check for yourself that this formula simplifies to:
y = h(x) =
-16(1+1^2)x^2+1x = -0.005x^2+x
......------
......80^2
Now, here is the problem (finally):
Use your knowledge of quadratic equations to find the following quantities:
* How far away from the launch point the ball hits the ground; this is called the range.
* the maximum height of the ball while it's in the air.
If anyone can help me understand how to even go about answering this, I would be beyond appreciative. I have read and read and re-read this problem, and I feel like I still have no clue what to do. And the scary thing is that this is only the first part of the question.
Thank you!
Click here to see answer by scott8148(6628)  |
Question 461655: Hello everyone,
I have no idea what to do with this, please help.
20√(-2)^20
now the first 20 needs to be above the √(checkpoint), I just do not know how to express that.
Thanks
Gina
Click here to see answer by rwm(914) |
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