Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 288134: Please help with this question if possible

Solve x^2 - 7x - 3 = 0 for x using any method you prefer
john
Click here to see answer by richwmiller(17219)

Question 288223: i am doing my math homework right now and i keep trying to solve a word problem that has to do with geometry and and quadratics...the word problem says The legs of an isosceles triangle measure two x to the fourth power plus 2x minus one units. The perimeter of the triangle is 5x to the fourth power minus 2x to the third power plus x minus three units write a polynomial that represents the measure of the base of the triangle
Click here to see answer by ankor@dixie-net.com(22740)

Question 288244: how can i facto the following equation using the zero product property?
10^2-25x+10^2=0
Click here to see answer by Alan3354(69443)

Question 288215: The amount of background noise is important to television news reporters. One station developed the formula n= -t^2 + 12t +54 showing the noise level in decibels (N) as it relates to the time after the speaker stops talking in seconds (t). How many seconds after the speaker stops will the noise level
be the greatest? Write and tell how you decided.
Click here to see answer by amnd(23)

Question 288289: I need to complete the square:
I've been using to figure out the formula since I know the answer to this second one.
I used the Complete the Square Solver on here, but it comes up with a different answer than the book.
The formula I'm using is: x=-4 +or- square root of (4)^2-4(2)(-1) over 2(2)
so, -4+or- square root of 16 + 8 over 4
then -4+or- square root of 24 over 4
then -4+or- 2 times square root of 6 over 4
after simplifying, i get -1+or- square root of 6 over 2.
My book says the answer is -2+or- square root of 6 over 2.
Where did I go wrong?? If I can't solve THIS one, then I know I can't solve the others.
Could somebody please explain where I messed up? I'm assuming I should have multiplied something by 2 somewhere along the way to come up with the book answer, but I can't figure out where or more importantly, WHY.
Thanks for any help given, I appreciate it!
Click here to see answer by stanbon(75887)

Question 288296: I asked this problem earlier, but have learned how to type it so that it is easier for you to read and understand. I need to square this problem.
Problem: 2x^2+4x-1=0
Formula I used was:
I got:

then
then
then (this is supposed to read "+ or - 2" not -2)
then (this is supposed to read "+ or - 2", not -2)
then after simplifying, I get

My book says the answer is:
I can't figure out where I went wrong, so I can't answer my real question of 2x^2+10x-3=0.
Any help is appreciated!! Thank you!
Click here to see answer by stanbon(75887)

Question 288295: I asked this problem earlier, but have learned how to type it so that it is easier for you to read and understand. I need to square this problem.
Problem: 2x^2+4x-1=0
Formula I used was:
I got:

then
then
then (this is supposed to read "+ or - 2" not -2)
then (this is supposed to read "+ or - 2", not -2)
then after simplifying, I get

My book says the answer is:
I can't figure out where I went wrong, so I can't answer my real question of 2x^2+10x-3=0.
Any help is appreciated!! Thank you!
Click here to see answer by Alan3354(69443)

Question 288313: This word problem pertains to "REVENUE".
The demand for a certain product is given by p=26-.01x, where x is the number of units sold per month and p is the price, in dollars, at which each item is sold. The monthly revenue is given by R=xp. What number of items sold produces a monthly revenue of $16,500.
I was on a roll for a while, but now I'm stuck again. I missed class last week (job sent me out of country) and I seriously don't even know where to begin with this. The book doesn't clearly state what I should do with this problem (like if I should use the quadratic formula or something along those lines) and I can't find any examples similar to it to try and work with.
I was thinking something like:
$16,500=x(26-.01x)
so, $16,500=26x-2.86x^2
then, divide the left side by 2?
so, $16,500=13x-1.43x
then, $16,500=11.57x
Okay, so then it would be $1,426.10=x?
This doesn't seem right.
Could somebody please explain how I am supposed to find the solution for this type of problem?
Thanks! Any help is appreciated!
Click here to see answer by jaydducote(11)

Question 288323: Edward left his estate of $210,000 to his two children and his favorite charity. Each child received 3 times the amount left to his favorite charity. How much did each child and the charity receive?
Click here to see answer by checkley77(12844)

Question 288392: Question regarding about Quadratic Function.
This is the problem:
A quadratic function is given below:
f(x)=3x^2-x+6
What is f(2)?
A. 40
B. 28
C. 16
D. 4
If you may explain how to solve this I would really appreciate the help. I don`t know any strategies that can help me solve this problem aside from having a calculator.
Thank you SO much for the time and effort.
Regards,
Alex H.
Click here to see answer by nerdybill(7384)

Question 288466: Consider the quadratic equation,
Which of the following statements is true?
A y is a function of x but x is not a function of y
B y is a function of x and x is a function of y
C y is not a function of x and x is not a function of y
D y is not a function of x but x is a function of y
I pretty much crossed out c and d because I'm pretty sure y IS a function of x... but I'm not sure if x is a function of y.
Thankyou! (:
Click here to see answer by richwmiller(17219)

Question 288494: Joe has made a quilt that is 4 feet by 5 feet. He wants to use the remaining 10 square feet as a decorative border of uniform width. What should the width of the border be?
Click here to see answer by stanbon(75887)

Question 288557: Compute the discriminate. Then determine the number and type of solutions for the given equation
9 x� -7x+5 =0

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

Question 288680: What is the only solution for x in the equation
x� -16x + 64 = 0?
Click here to see answer by jim_thompson5910(35256)

Question 288697: please help me with this problem
which quadratic has roots 3 + i and 3 i?
1. x2 6x + 10 = 0
2. x2 + 6x 10 = 0
3. x2 6x + 8 = 0
4. x2 + 6x 8 = 0

Click here to see answer by jim_thompson5910(35256)

Question 288725: How many ways can a line intersect a parabola? Explain with examples
Click here to see answer by Fombitz(32388)

Question 288724: A picture that measures 10cm by 8cm is to be surrounded by a mat before framing. The width of the mat is to be the same on all sides of the picture. The area of the mat is equal to the area of the picture. What is the width of the mat, to the nearest tenth of a centimetre?
Click here to see answer by checkley77(12844)

Question 288753: A total of 1135 people attended a concert. Floor tickets cost $40 each, while balcony tickets cost $28 each. If a total of $40,480 was collected, how many of each type of ticket were sold?
Click here to see answer by checkley77(12844)

Question 288751: A jacket was marked down in price by 15%, and then later was marked down by an additional $35. Its sale price was $173.25. What was its original price?
Click here to see answer by checkley77(12844)

Question 288755: The time, t, it takes for an ice cube to melt is inversely proportional to the temperature of the water it is in. If it takes an ice cube 2.5 minutes to melt in 70 degree F water, how long will it take an ice cube of the same size to melt in 50 degree water?
Click here to see answer by richwmiller(17219)

Question 288760: Mary left her estate worth $132,000 to three relatives. Her brother received 3 times as much as the cousin, and her daughter received 7 times as much as the cousin. How much did each relative receive?
Click here to see answer by Deina(147)

Question 288834: find the x-intercepts of the graph of the quadratic funtion
y=(x-3)(x-2)
Click here to see answer by stanbon(75887)

Question 288872: Place the following equation in the standard form of a quadratic equation:
4/x^2+3/x-10=0. Please tell me what is a, b, and c.
Click here to see answer by dabanfield(803)

Question 288877: graph: y=-3(x-2)(x-6)
when i tried to solve it my answer came out to be which doesnt seem right because the graph that they gave me is only 10 units tall by 6 units wide.

Click here to see answer by dabanfield(803)

Question 288881: graph: y=-3(x-2)(x-6)
when i tried to solve it my answer came out to be which doesnt seem right because the graph that they gave me is only 10 units tall by 6 units wide.

Click here to see answer by richwmiller(17219)

Question 288909: please help me solve quadratic equations by factoring: 10x^2=9x
Click here to see answer by stanbon(75887)

Question 288874: Find the exact complex number solutions to the quadratic equation using the quadratic formula....
-5x^2=-5x+6=0

I guess the two "=" signs are throwing me off.
I moved the -5x^2 to the right to get rid of the negative value.
Making the equation
5x^2-5x+6=0
Quadratic Formula:
-b +- square root b^2-4ac/2a
a=5 b=-5 c=6
-(-5)+- square root (-5)^2-4(5)(6)/2(5)
Disregarding imaginary numbers; I came up with "No Real Solution"
as my answer was
5+- square root -95/10
Am I correct?
Thank you for your help
Click here to see answer by richwmiller(17219)

Question 288969: A rain gutter is made from sheets of aluminum that are 30 inches wide. The edges are truned up to fom right angles. Determine the depth of the gutter that will allow a cross-sectional area of 40 square inches. Show that there are two different solutions to the problem. tound to the nearest tenth of an inch. The width of the gutter, after turning up the edges, is given as 30-2x. Its depth is given as x
The area is x(30-2x)
Set this expression equal to the given area, 40
The final answer is x approximately = 1.5, 13.5 inches. How did they get the final answer?
Click here to see answer by nyc_function(2741)

Question 288976: Area of a Rectangle. The width of a rectangle is fixed at
4 cm. For what lengths will the area be less than
40. Area of a Rectangle.
L
L
86 cm2?
Click here to see answer by mananth(16946)

Question 289064: A rocket is launched from atop a 115-foot cliff with an initial velocity of 133 ft/s.
a. Substitute the values into the vertical motion formula h = �16t2 + vt + c. Let h = 0.
b. Use the quadratic formula to find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.
Click here to see answer by Alan3354(69443)

Question 289027: Use the quadratic formula to find the x-intercepts for the parabola f(x)=2x^2+11x-6?
Click here to see answer by jim_thompson5910(35256)

Question 289195: I'm stuck on this problem and it's giving me fits. Could you please help me?
Use the quadratic formula to solve the equation.
6x^2+5x+8=0
Click here to see answer by richwmiller(17219)

Question 289210: 21y^2+17y+2
Click here to see answer by richwmiller(17219)

Question 289250: A kangaroo's jump follows the path
h = -0.0347d^2+0.833d
where 'h' is the height in feet and 'd' is the horizontal distance in feet. What is the maximum height that the kangaroo reaches?
I have no idea where to begin to solve this problem. Is the answer the vertex? Please help.
Click here to see answer by scott8148(6628)

Question 288992: A man started on a walk 12 km. After walking half the distance at x km/h, he decreased his speed by 1/2 km/h. He completed his walk 10 minutes later than he would have done if he had not decreased his speed. Obtain an equation for x and solve it. Use your value of x to determine the time he took for the 12 kilometre walk.
Click here to see answer by ankor@dixie-net.com(22740)

Question 289278:
Click here to see answer by stanbon(75887)

Question 289365: The height of an object thrown in the air is given by h = t2 � 7t + 3, where h is in feet and t is the time in seconds the object has been in motion. At what time (to the nearest tenth) is the object 11 feet in the air?
Could you help to solve this equation?
Thank you.
Cynthia

Click here to see answer by stanbon(75887)

Question 289385: Evaluate the function f(x) =x� +7x-7 at the given values of the independent variable and simplify
a. F(6) b. f(x +4) c. f(- x)

Click here to see answer by alegriajoy33(14)

Question 289339: 11>5-2x > or = -7
Click here to see answer by alegriajoy33(14)

Question 289339: 11>5-2x > or = -7
Click here to see answer by richwmiller(17219)

Question 289415: how to solve problems by completing the square?
Click here to see answer by solver91311(24713)

Question 289436: Find the quadratic equation with integer coefficients such that the sum of the roots is and the product of the roots is .
Click here to see answer by edjones(8007)

Question 289526: Hello I created this quadratic equation and want to make sure it is correct please if you could tell me if it is right or not. if it is not can you redo the problem with the correct parts that I might have done wrong.

Suppose the demand and price for a multiday vitamin are related by p= .0020q + 1, where p is the price (in dollars) of a 30 day supply. If the demand is related to the price by p = -.0030q + 24.99.

What are the equilibrium quantity and price?

Answer:

.0020q + 1 = -.0030q + 24.99

10q = 24.98

q = 2.498

p= .0020 (2.498) + 1 = 5.996 or $6.00

equilibrium quantity is 2.498 vitamins at an equilibrium price of $6.00

Thank you
John
Click here to see answer by MRSLADY16(1)

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