Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 144442: On this problem, just like the other, i don't understand how you can have the solution equal to zero. It says that i need to use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. How do i determine the number and types of solutions. For this equations 2x2 - 10x + 25 = 0. Please help me someone.
Click here to see answer by nabla(475)

Question 144453: what is the quadratic formula?
Click here to see answer by stanbon(75887)

Question 144528: I need help completing the square of this quadratic equation. Thanks.
x^2 + 16x = 0
Click here to see answer by Alan3354(69443)

Question 144532: I need help solving this word problem which I'm supposed to solve using a quadratic equation. Any help would be appreciated. thanks.

A designer attempts to arrange the characters of his artwork in the form of a square grid with equal numbers of rows and columns, but finds that 24 characters are left out. When he tries to add one more row and column, he finds that he has 25 too few characters. Find the number of characters used by the designer.
Click here to see answer by Alan3354(69443)

Question 144530: I need help with this word problem: The instructions are 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.
Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Any help would be appreciated. Thanks.
Click here to see answer by Alan3354(69443)

Question 144534: .4
x = 81
its x to the 4th power = 81
I don't know if I'm doing it right
(x^+9)(x^-9)=0
(x+3)(x-3)(x+3)(x-3)=0
x-3=0 x=3
x+3=0 x=-3
(3,-3)

Click here to see answer by Alan3354(69443)

Question 144531: I need help with this word problem: The instructions are 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.

The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water?

Any help would be appreciated. Thanks.
Click here to see answer by ankor@dixie-net.com(22740)

Question 144570: On this word problem, i guess i need to turn this into a quadratic expression and solve, but i only thought that you solved word problems from linear equations. i have no idea how this is even done. i would try it on my own if i knew where to begin. If someone can get me started i will glady finish it so i can learn. Thank you.
Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
Click here to see answer by jim_thompson5910(35256)

Question 144572: Sorry, but here's another word problem and i can barely do those that are already in equation form. The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water?
Click here to see answer by checkley77(12844)

Question 144598: Use the quadratic formula to solve
2x^2-x=-3
the solution set is { }
Thank you for your help!
Click here to see answer by checkley77(12844)

Question 144596: Write a quadratic equation in the variable x having the given number solutions. Type the equation in standard form, ax^2+bx+c=0
Solution:9, only solution
Thank you for your help!
Click here to see answer by nabla(475)

Question 144641: I need help with a problem that is not featured here,it is:
5t^2+5=135
Please help me!!!
Click here to see answer by faceoff57(108)

Question 144620: f(x)=x2-4
Click here to see answer by edjones(8007)

Question 144662: f(x)= x^2 -4 find roots and graph
Click here to see answer by checkley77(12844)

Question 144718: Determine whether the following equations have a solution or not? Justify your answer.
5x2 + 8x + 7 = 0

Click here to see answer by solver91311(24713)

Question 144720: Determine whether the following equations have a solution or not? Justify your answer.
2x2 + x - 1 = 0

Click here to see answer by nabla(475)

Question 144722: Determine whether the following equations have a solution or not? Justify your answer.
4/3x2 - 2x + 3/4 = 0

Click here to see answer by checkley77(12844)

Question 144730: i need to factor the quadratic expression completely and find the roots of this expression. i came up with (15x-13) & (9x-7) is this correct for this problem? Thank you.
135x2 - 222x + 91
Click here to see answer by jim_thompson5910(35256)

Question 144734: One of my biggest problems in algebra is figuring how to turn a word problem into a solution so that i can solve it. For instance, A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 250 ft diagonally.
Click here to see answer by crystel(1)

Question 144731: i factored this quadratic expression completely, and came up with the answer and roots of the expression. My answer is 6(x^2 + 5), root of 20. The problem is 6x2 - 42x + 72. Please tell me this is correct?
Click here to see answer by jim_thompson5910(35256)

Question 144747: Which of the following are solutions to the quadratic equation? Check all that apply
x(exponent)2 + 12x + 36 = 7
-6
√7-6
√7
-6
-√7-6
√7+6
Click here to see answer by Alan3354(69443)

Question 144765: What value of b makes the polynomial below a perfect square?
x2 - bx + 36

Click here to see answer by stanbon(75887)

Question 144786: Factor the polynomial expression. If necessary, use the caret (^) to enter exponents. For example, write x2 as x^2.
x2 + 2x - 35
Click here to see answer by checkley77(12844)

Question 144826: In this question I need to use the �discriminant� to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. I need help please!!
1. 4/3x2 - 2x + 3/4 = 0

Click here to see answer by jim_thompson5910(35256)

Question 144828: In this question I need to use the �discriminant� to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. I need help please!!
3. 3z2 + z - 1 = 0

Click here to see answer by jim_thompson5910(35256)

Question 144827: In this question I need to use the �discriminant� to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. I need help please!!
2. 2x2 + 5x + 5 = 0

Click here to see answer by jim_thompson5910(35256)

Question 144829: In this question I need to use the �discriminant� to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. I need help please!!
4. m2 + m + 1 = 0

Click here to see answer by jim_thompson5910(35256)

Question 144837: Apply the quadratic formula to find the roots of the given function, and then graph the function.
f(x) = x2 + 4
Click here to see answer by jim_thompson5910(35256)

Question 144838: Apply the quadratic formula to find the roots of the given function, and then graph the function.
g(x) = x2 + x + 12
Click here to see answer by jim_thompson5910(35256)

Question 144780: If x = 3 and x = -5, then form a quadratic equation.

Click here to see answer by scott8148(6628)

Question 144782: Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.

Click here to see answer by ankor@dixie-net.com(22740)

Question 144883: Factor the polynomial expression. If necessary, use the caret (^) to enter exponents.
4x^2 - 81
Click here to see answer by stanbon(75887)

Question 144900: What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.

Click here to see answer by stanbon(75887)

Question 144899: Factor the polynomial expression. If necessary, use the caret (^) to enter exponents. For example, write x2 as x^2.
8x2 + 10x - 3

Click here to see answer by Alan3354(69443)

Question 144908: I need some help setting up these two questions as a quadratic equation that makes sense in the solution. Please help!
A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 250 ft diagonally.

Three consecutive even integers are such that the square of the third is 76 more than the square of the second. Find the three integers.

Click here to see answer by Edwin McCravy(20054)

Question 144909: I need some help with this word problem. Any help would be greatly appreciated. Thanks.

A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108in2. What are the dimensions of the photo?
Click here to see answer by ankor@dixie-net.com(22740)

Question 144919: Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.

Click here to see answer by checkley77(12844)

Question 144904: Use the quadratic formula to find the solutions to the quadratic equation below
3x^2 - x - 2 = 0
A. - 2/3
B. -1
C. 2/3
D. -4/5
E. 1
F. 5/4

Click here to see answer by nabla(475)

Question 144981: The sum of two numbers is 8. The sum of the squares of the two numbers is 34. Find the numbers.
I know they are 3 and 5, but how do I show I arrived at that answer
Click here to see answer by jim_thompson5910(35256)

Question 144992: investment problem.... richard inherited 15,000 dollars and invester it in two municial bonds. which pay 7% and 9% simple interest. the annual interest is 1,230.00 find the amount invested at each rate.
amount invested at 7% _______
amount invested at 9% _______
Click here to see answer by vleith(2983)

Question 145001: Use the quadratic formula to find the solutions to the quadratic equation below. Check all that apply.
3x^2 - x - 2 = 0
A. - 2/3 (both are negative)
B. -1
C. 3/2
D. -4/5 (only 4 is negative)
E. 1
F. 5/4

Click here to see answer by jim_thompson5910(35256)

Question 144872: 4. Your profit P is determined by subtracting the cost C (the amount of money it costs to operate a business) from the revenue R (the amount of money you earn from selling your product). Profit can be represented algebraically by the equations:
Profit=Revenue-Cost
OR
P = R - C
a) Rewrite the formula to solve for C.

b) Suppose your profit for one day is $1,281, and the cost of running the business for the day is $1,463. What is the revenue for that day? Explain your answer.

Click here to see answer by solver91311(24713)

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