Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 36230: Good Morning: I haven't been able to solve this problem... I have to use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
2x^2 - 6x + 5 = 0
Click here to see answer by Prithwis(166)  |
Question 36227: Hi: I really need help on this one. What I have to do is to
use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
5x^2 + 8x + 7 = 0
Click here to see answer by Prithwis(166) |
Question 36300: use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
2x^2 + x - 1 = 0
Click here to see answer by Nate(3500) |
Question 36342: I asked this a few days ago but didn't get an answer. Can someone help me with this please?
When using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. (When the discriminate is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. )
Explain what the value of the discriminant means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminant. Then, graph the corresponding equation. In the real world, where might these imaginary numbers be used?
Click here to see answer by ilana(307) |
Question 36351: The sum of two numbers is 9 and the sum of their squares is 261. Find the numbers.
I'm not sure how to set this out algebraically. If you could help me to set it out as a quadratic equation, I should be able to get the answer from there. Thank you for your time.
Click here to see answer by venugopalramana(3286) |
Question 36397: m^2 + m + 1 = 0
I cannot figure this one out :( Please...I need to use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
Click here to see answer by stanbon(57984) |
Question 36396: Have not gotten an answer yet...I sent it before but I really need help with this one :) Please!!! Someone help me out!
I have to use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
3z^2 + z - 1 = 0
Click here to see answer by stanbon(57984) |
Question 36395: 2x^2 + 5x + 5 = 0
I have to use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
Click here to see answer by stanbon(57984) |
Question 36394: I really need help on this one.
4/3x^2 - 2x + 3/4 = 0
I have to use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
Click here to see answer by Prithwis(166) |
Question 36350: Here...I have to use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
4/3x^2 - 2x + 3/4 = 0
Click here to see answer by Prithwis(166) |
Question 36439: This one is so hard for me :( Could you help me out? I posted this before but got no response. Thanks!!!
Apply the quadratic formula to find the roots of the given function, and then graph the function.
g(x) = x^2 + x + 12
Click here to see answer by stanbon(57984) |
Question 36426: Somebody please help. The graph has to be a real life situation with numbers to make it, I think. I posted the question from my professor, not sure if I completely understand what I need. I know I need a graph and some numbers, that's about all I really know. Please help. Any help would be greatly appreciated.using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminate is b2 - 4ac. This discriminate can be positive, zero, or negative. (When the discriminate is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. )
• Explain what the value of the discriminate means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminate. Then, graph the corresponding equation.
Click here to see answer by stanbon(57984) |
Question 36455: Step by step
Original- ax^2 + bx + c =0
1. subtract c from each side
2. Divide each side by a
3. Add he square of half the coefficient of x to each side
4.write the left side as a perfect square
5.use a common denominator to express the right side as a single fraction
6. find the square root of eac side
7. solve for x by subtracting the same term form each side
8. use a common denominator to express the right side as a single fraction
once all the steps are done you should end up with the quadratice formula but i cant get past step three and i need each step. PLEASE HELp
Click here to see answer by Earlsdon(6294) |
Question 35899: Suppose you throw a baseball straight up at a velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
• 16 represents ½g, the gravitational pull due to gravity (measured in feet per second 2).
• v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
• s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.
a)What is the function that describes this problem?
b)The ball will be how high above the ground after 1 second?
c)How long will it take to hit the ground?
d)What is the maximum height of the ball?
Click here to see answer by venugopalramana(3286) |
Question 35990: I am stuck on this one, Please help
2) For the function y = x2 - 6x + 8, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space.
b) What is the line of symmetry?
Answer:
c) Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
Show graph here.
Explanation of graphing.
d) In your own words, describe how this graph compares the graph of y = x2?
Answer:
Click here to see answer by venugopalramana(3286) |
Question 35991: Please help
4)Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation.
Answer:
Show work in this space.
Click here to see answer by venugopalramana(3286) |
Question 36091: use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
z^2 + z + 1 = 0
Click here to see answer by venugopalramana(3286) |
Question 36454: Step by step
Original- ax^2 + bx + c =0
1. subtract c from each side
2. Divide each side by a
3. Add he square of half the coefficient of x to each side
4.write the left side as a perfect square
5.use a common denominator to express the right side as a single fraction
6. find the square root of eac side
7. solve for x by subtracting the same term form each side
8. use a common denominator to express the right side as a single fraction
once all the steps are done you should end up with the quadratice formula but i cant get past step three and i need each step. PLEASE HELp
Click here to see answer by atif.muhammad(135) |
Question 36453: Step by step
Original- ax^2 + bx + c =0
1. subtract c from each side
2. Divide each side by a
3. Add he square of half the coefficient of x to each side
4.write the left side as a perfect square
5.use a common denominator to express the right side as a single fraction
6. find the square root of eac side
7. solve for x by subtracting the same term form each side
8. use a common denominator to express the right side as a single fraction
once all the steps are done you should end up with the quadratice formula but i cant get past step three and i need each step. PLEASE HELp
Click here to see answer by venugopalramana(3286) |
Question 36521: Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation.
Click here to see answer by Paul(988) |
Question 36575: When using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. (When the discriminate is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. )
Explain what the value of the discriminant means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminant. Then, graph the corresponding equation.
Click here to see answer by venugopalramana(3286) |
Question 36483: Use the quadratic formula to solve a quadratic equation ax^2 + bx + c = 0, the discriminant is b^2-4ac. This discriminant can be positive, zero, or negative. Explain what the value of the disciminant means to the graph of y= ax^2 + bx + c. Use these values of a=2, b=4,and c=5. Then, graph the corresponding equation.
How do I know what the discriminant is? If I use the quadratic equation, does this show how to graph the equation? I think the vertex is -1,4 but how do I know how to graph the rest of the parabola?
I really need some help with this one. Thanks
Click here to see answer by venugopalramana(3286) |
Question 36095: use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.
2x^2 + x - 1 = 0
Click here to see answer by venugopalramana(3286) |
Question 35931: Please help, We included the table of numbers that we have chosen. Any help, especially with graphing the answer would be highly appreciated. Thank you.
When using the quadratic formula to solve a quadratic equation ax2 + bx + c = 0, the discriminate is b2 - 4ac. This discriminate can be positive, zero, or negative. (When the discriminate is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. )
• Explain what the value of the discriminate means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminate. Then, graph the corresponding equation.
DISCRIMINATE: b^2-4ac
A B C Discriminate
b^2-4ac
2 6 4 4
9 6 3 144
1 5 3 13
4 10 7 -12 {-3.4}
Click here to see answer by venugopalramana(3286) |
Question 36691: Please Help!!!!!!!!!!! I really can't figure these out and I need someone really smart.....
Janice tosses a softball upward with an intinal veolicty of 100 feet per second. Use the formula h=vt-16t^2 to answer each question.
A. When the ball hits a height of 84 feet?
B When will the ball hit the ground.
A box is to be formed from a rectangular piece of sheet metal by cutting squares measuring 5in on a side and then folding the sides. The piece of sheet metal is twice as long as its width. If the volume of the box is to be 1760in^3, what are the dimensions of the origional piece of metal.
Click here to see answer by venugopalramana(3286) |
Question 36783: SOS! I don't know hoe to solve this one:( Please help me out! Thanks.
Apply the quadratic formula to find the roots of the given function, and then graph the function.
1. (6 points) f(x) = 3x^2 + 18x + 22
Click here to see answer by stanbon(57984) |
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